Contents
ECE302 Proj 2
(L)MMSE estimators; Jonathan Lam & Steven Lee
clc; clear; close all; set(0, 'defaultTextInterpreter', 'latex');
1a
N = 1e6; Y = 2*rand(N, 1) - 1; W = 4*rand(N, 1) - 2; X = Y + W; % piecewise estimators X1 = X < -1; X2 = (X >= -1) & (X <= 1); X3 = X > 1; Y1 = (1 + X(X1)) / 2; Y2 = zeros(size(X(X2))); Y3 = (-1 + X(X3)) / 2; X = [X(X1); X(X2); X(X3)]; Y = [Y(X1); Y(X2); Y(X3)]; Y_est = [Y1; Y2; Y3]; Y_err = (Y - Y_est).^2; % for plotting empirical piecewise MSE as a function of X Y_X_err = sortrows([X Y_err]); Y_X_err(:,2) = movmean(Y_X_err(:,2), N/1e2); figure('Position', [0 0 1000 1000]); tiledlayout(1, 1, 'TileSpacing', 'tight'); hold on; % plot all X vs error data scatter(X, Y_err); % plot piecewise MSE x = -3:1e-2:-1; plot(x, (3+x).^2/12, 'k'); x = -1:1e-2:1; plot(x, 1/3*ones(size(x)), 'k', 'HandleVisibility', 'off'); x = 1:1e-2:3; plot(x, (3-x).^2/12, 'k', 'HandleVisibility', 'off'); % plot empirical piecewise MSE plot(Y_X_err(:,1), Y_X_err(:,2), 'r'); legend({'Squared Error', 'Theoretical MSE', 'Empirical MSE (moving average)'}); xlabel('Observed $$X$$'); ylabel('$$(\hat{Y}(X)-Y)^2$$'); title('Error in estimate vs. observed $$X$$'); % calculate empirical MSE MSE_emp = mean(Y_err);
1b
Y_lin = X/5; LMSE_emp = mean((Y_lin - Y).^2); %table making display(table([1/4; 4/15], [MSE_emp; LMSE_emp], ... 'VariableNames', {'Theoretical', 'Empirical'}, ... 'RowNames', {'MMSE', 'LMMSE'}))
2×2 table
Theoretical Empirical
___________ _________
MMSE 0.25 0.25009
LMMSE 0.26667 0.26671
2
clear; N = 1e4; mu_y = 1; sig_ys = 1:10; sig_rs = 1:10; Rs = 1:10; % R is the number of observations % calculate all da results res = []; row_labels = {}; i = 1; for sig_y_ind = 1:length(sig_ys) for sig_r_ind = 1:length(sig_rs) for R_ind = 1:length(Rs) sig_y = sig_ys(sig_y_ind); sig_r = sig_rs(sig_r_ind); R = Rs(R_ind); [emp, theo] = calc_llmse(mu_y, sig_y, sig_r, N, R); res(R_ind, sig_r_ind, sig_y_ind, :) = [emp, theo]; row_labels{i} = sprintf('sig_y=%.2f, sig_r=%.2f, R=%d', sig_y, sig_r, R); i = i + 1; end end end % plotting slices of the result vector figure('Position', [0 0 1200 400]); tiledlayout(1, 3, 'TileSpacing', 'tight'); % plot MSE vs R nexttile(); mvr = reshape(res(:, 5, 5, :), [], 2); plot(Rs, mvr(:,1), Rs, mvr(:,2)); xlabel('Number of observations'); ylabel('LMMSE'); title('LMMSE vs. Number of observations ($$\sigma_y=\sigma_r=5$$)'); legend({'Empirical LMMSE', 'Theoretical LMMSE'}); % plot MSE vs sig_y nexttile(); mvsy = reshape(res(5, :, 5, :), [], 2); plot(sig_ys, mvsy(:,1), sig_ys, mvsy(:,2)); xlabel('$$\sigma_y$$'); ylabel('LMMSE'); title('LMMSE vs. $$\sigma_y$$ ($$R=\sigma_r=5$$)'); legend({'Empirical LMMSE', 'Theoretical LMMSE'}); % plot MSE vs sig_r nexttile(); mvsr = reshape(res(5, 5, :, :), [], 2); plot(sig_rs, mvsr(:,1), sig_rs, mvsr(:,2)); xlabel('$$\sigma_r$$'); ylabel('LMMSE'); title('LMMSE vs. $$\sigma_r$$ ($$R=\sigma_y=5$$)'); legend({'Empirical LMMSE', 'Theoretical LMMSE'}); % displaying results in a table res = reshape(res, [], 2); display(table(res(:,1), res(:,2), ... 'VariableNames', {'Empirical', 'Theoretical'}, 'RowNames', row_labels)) % function to help with calculations at different values of the parameters function [emp, theo] = calc_llmse(mu_y, sig_y, sig_r, N, R) Y_gaus = mu_y + sig_y * randn(N, 1); R_gaus = sig_r * randn(N, R); X = Y_gaus + R_gaus; % solve normal equation C_XX*a=C_XY (8.70) C_XX = sig_y^2 * ones(R) + sig_r^2 * eye(R); C_XY = sig_y^2 * ones(R, 1); % a = C_XX^-1 * C_XY; a = C_XX \ C_XY; % 8.74: comes from requirement that Yhat_lin is unbiased % (same as 8.60 assuming that mu_x=mu_y since mu_r=0) a0 = mu_y * (1 - sum(a)); Y_gaus_est = a0 + sum(a.' .* X, 2); % empirical MSE emp = mean((Y_gaus_est - Y_gaus).^2); % 8.73: theoretical associated MSE theo = sig_y^2 - C_XY.' * C_XX^-1 * C_XY; end
1000×2 table
Empirical Theoretical
_________ ___________
sig_y=1.00, sig_r=1.00, R=1 0.48593 0.5
sig_y=1.00, sig_r=1.00, R=2 0.33171 0.33333
sig_y=1.00, sig_r=1.00, R=3 0.25523 0.25
sig_y=1.00, sig_r=1.00, R=4 0.2005 0.2
sig_y=1.00, sig_r=1.00, R=5 0.16809 0.16667
sig_y=1.00, sig_r=1.00, R=6 0.13969 0.14286
sig_y=1.00, sig_r=1.00, R=7 0.12566 0.125
sig_y=1.00, sig_r=1.00, R=8 0.11079 0.11111
sig_y=1.00, sig_r=1.00, R=9 0.099602 0.1
sig_y=1.00, sig_r=1.00, R=10 0.091576 0.090909
sig_y=1.00, sig_r=2.00, R=1 0.81523 0.8
sig_y=1.00, sig_r=2.00, R=2 0.69423 0.66667
sig_y=1.00, sig_r=2.00, R=3 0.58042 0.57143
sig_y=1.00, sig_r=2.00, R=4 0.49358 0.5
sig_y=1.00, sig_r=2.00, R=5 0.44054 0.44444
sig_y=1.00, sig_r=2.00, R=6 0.4023 0.4
sig_y=1.00, sig_r=2.00, R=7 0.36181 0.36364
sig_y=1.00, sig_r=2.00, R=8 0.3284 0.33333
sig_y=1.00, sig_r=2.00, R=9 0.31916 0.30769
sig_y=1.00, sig_r=2.00, R=10 0.29055 0.28571
sig_y=1.00, sig_r=3.00, R=1 0.91351 0.9
sig_y=1.00, sig_r=3.00, R=2 0.80267 0.81818
sig_y=1.00, sig_r=3.00, R=3 0.75109 0.75
sig_y=1.00, sig_r=3.00, R=4 0.69054 0.69231
sig_y=1.00, sig_r=3.00, R=5 0.63791 0.64286
sig_y=1.00, sig_r=3.00, R=6 0.59261 0.6
sig_y=1.00, sig_r=3.00, R=7 0.57014 0.5625
sig_y=1.00, sig_r=3.00, R=8 0.51544 0.52941
sig_y=1.00, sig_r=3.00, R=9 0.51162 0.5
sig_y=1.00, sig_r=3.00, R=10 0.46871 0.47368
sig_y=1.00, sig_r=4.00, R=1 0.95018 0.94118
sig_y=1.00, sig_r=4.00, R=2 0.87913 0.88889
sig_y=1.00, sig_r=4.00, R=3 0.83335 0.84211
sig_y=1.00, sig_r=4.00, R=4 0.78117 0.8
sig_y=1.00, sig_r=4.00, R=5 0.76487 0.7619
sig_y=1.00, sig_r=4.00, R=6 0.74509 0.72727
sig_y=1.00, sig_r=4.00, R=7 0.70936 0.69565
sig_y=1.00, sig_r=4.00, R=8 0.65845 0.66667
sig_y=1.00, sig_r=4.00, R=9 0.64758 0.64
sig_y=1.00, sig_r=4.00, R=10 0.60218 0.61538
sig_y=1.00, sig_r=5.00, R=1 0.94791 0.96154
sig_y=1.00, sig_r=5.00, R=2 0.93227 0.92593
sig_y=1.00, sig_r=5.00, R=3 0.90057 0.89286
sig_y=1.00, sig_r=5.00, R=4 0.85109 0.86207
sig_y=1.00, sig_r=5.00, R=5 0.85569 0.83333
sig_y=1.00, sig_r=5.00, R=6 0.8085 0.80645
sig_y=1.00, sig_r=5.00, R=7 0.79466 0.78125
sig_y=1.00, sig_r=5.00, R=8 0.75931 0.75758
sig_y=1.00, sig_r=5.00, R=9 0.72894 0.73529
sig_y=1.00, sig_r=5.00, R=10 0.71161 0.71429
sig_y=1.00, sig_r=6.00, R=1 0.96183 0.97297
sig_y=1.00, sig_r=6.00, R=2 0.94688 0.94737
sig_y=1.00, sig_r=6.00, R=3 0.94075 0.92308
sig_y=1.00, sig_r=6.00, R=4 0.91126 0.9
sig_y=1.00, sig_r=6.00, R=5 0.88721 0.87805
sig_y=1.00, sig_r=6.00, R=6 0.85911 0.85714
sig_y=1.00, sig_r=6.00, R=7 0.80692 0.83721
sig_y=1.00, sig_r=6.00, R=8 0.82591 0.81818
sig_y=1.00, sig_r=6.00, R=9 0.80321 0.8
sig_y=1.00, sig_r=6.00, R=10 0.77153 0.78261
sig_y=1.00, sig_r=7.00, R=1 0.98024 0.98
sig_y=1.00, sig_r=7.00, R=2 0.9614 0.96078
sig_y=1.00, sig_r=7.00, R=3 0.91901 0.94231
sig_y=1.00, sig_r=7.00, R=4 0.92331 0.92453
sig_y=1.00, sig_r=7.00, R=5 0.9264 0.90741
sig_y=1.00, sig_r=7.00, R=6 0.90964 0.89091
sig_y=1.00, sig_r=7.00, R=7 0.87934 0.875
sig_y=1.00, sig_r=7.00, R=8 0.87226 0.85965
sig_y=1.00, sig_r=7.00, R=9 0.84636 0.84483
sig_y=1.00, sig_r=7.00, R=10 0.84167 0.83051
sig_y=1.00, sig_r=8.00, R=1 0.97278 0.98462
sig_y=1.00, sig_r=8.00, R=2 0.98448 0.9697
sig_y=1.00, sig_r=8.00, R=3 0.96167 0.95522
sig_y=1.00, sig_r=8.00, R=4 0.94835 0.94118
sig_y=1.00, sig_r=8.00, R=5 0.9365 0.92754
sig_y=1.00, sig_r=8.00, R=6 0.93711 0.91429
sig_y=1.00, sig_r=8.00, R=7 0.92012 0.90141
sig_y=1.00, sig_r=8.00, R=8 0.90403 0.88889
sig_y=1.00, sig_r=8.00, R=9 0.8796 0.87671
sig_y=1.00, sig_r=8.00, R=10 0.85527 0.86486
sig_y=1.00, sig_r=9.00, R=1 0.97206 0.9878
sig_y=1.00, sig_r=9.00, R=2 0.98009 0.9759
sig_y=1.00, sig_r=9.00, R=3 0.94797 0.96429
sig_y=1.00, sig_r=9.00, R=4 0.94061 0.95294
sig_y=1.00, sig_r=9.00, R=5 0.94618 0.94186
sig_y=1.00, sig_r=9.00, R=6 0.9442 0.93103
sig_y=1.00, sig_r=9.00, R=7 0.92443 0.92045
sig_y=1.00, sig_r=9.00, R=8 0.93888 0.91011
sig_y=1.00, sig_r=9.00, R=9 0.89645 0.9
sig_y=1.00, sig_r=9.00, R=10 0.87489 0.89011
sig_y=1.00, sig_r=10.00, R=1 0.99161 0.9901
sig_y=1.00, sig_r=10.00, R=2 0.97872 0.98039
sig_y=1.00, sig_r=10.00, R=3 0.95183 0.97087
sig_y=1.00, sig_r=10.00, R=4 0.93603 0.96154
sig_y=1.00, sig_r=10.00, R=5 0.96091 0.95238
sig_y=1.00, sig_r=10.00, R=6 0.92556 0.9434
sig_y=1.00, sig_r=10.00, R=7 0.93012 0.93458
sig_y=1.00, sig_r=10.00, R=8 0.94362 0.92593
sig_y=1.00, sig_r=10.00, R=9 0.90794 0.91743
sig_y=1.00, sig_r=10.00, R=10 0.91834 0.90909
sig_y=2.00, sig_r=1.00, R=1 0.78689 0.8
sig_y=2.00, sig_r=1.00, R=2 0.44289 0.44444
sig_y=2.00, sig_r=1.00, R=3 0.30252 0.30769
sig_y=2.00, sig_r=1.00, R=4 0.23028 0.23529
sig_y=2.00, sig_r=1.00, R=5 0.19645 0.19048
sig_y=2.00, sig_r=1.00, R=6 0.15775 0.16
sig_y=2.00, sig_r=1.00, R=7 0.13447 0.13793
sig_y=2.00, sig_r=1.00, R=8 0.12271 0.12121
sig_y=2.00, sig_r=1.00, R=9 0.10967 0.10811
sig_y=2.00, sig_r=1.00, R=10 0.097611 0.097561
sig_y=2.00, sig_r=2.00, R=1 1.9561 2
sig_y=2.00, sig_r=2.00, R=2 1.2914 1.3333
sig_y=2.00, sig_r=2.00, R=3 1.031 1
sig_y=2.00, sig_r=2.00, R=4 0.82501 0.8
sig_y=2.00, sig_r=2.00, R=5 0.65806 0.66667
sig_y=2.00, sig_r=2.00, R=6 0.5807 0.57143
sig_y=2.00, sig_r=2.00, R=7 0.50937 0.5
sig_y=2.00, sig_r=2.00, R=8 0.44116 0.44444
sig_y=2.00, sig_r=2.00, R=9 0.39867 0.4
sig_y=2.00, sig_r=2.00, R=10 0.36541 0.36364
sig_y=2.00, sig_r=3.00, R=1 2.7897 2.7692
sig_y=2.00, sig_r=3.00, R=2 2.1101 2.1176
sig_y=2.00, sig_r=3.00, R=3 1.7099 1.7143
sig_y=2.00, sig_r=3.00, R=4 1.4276 1.44
sig_y=2.00, sig_r=3.00, R=5 1.2204 1.2414
sig_y=2.00, sig_r=3.00, R=6 1.098 1.0909
sig_y=2.00, sig_r=3.00, R=7 0.99303 0.97297
sig_y=2.00, sig_r=3.00, R=8 0.86215 0.87805
sig_y=2.00, sig_r=3.00, R=9 0.78363 0.8
sig_y=2.00, sig_r=3.00, R=10 0.73301 0.73469
sig_y=2.00, sig_r=4.00, R=1 3.2069 3.2
sig_y=2.00, sig_r=4.00, R=2 2.6809 2.6667
sig_y=2.00, sig_r=4.00, R=3 2.2388 2.2857
sig_y=2.00, sig_r=4.00, R=4 2.0246 2
sig_y=2.00, sig_r=4.00, R=5 1.7952 1.7778
sig_y=2.00, sig_r=4.00, R=6 1.5995 1.6
sig_y=2.00, sig_r=4.00, R=7 1.4579 1.4545
sig_y=2.00, sig_r=4.00, R=8 1.3433 1.3333
sig_y=2.00, sig_r=4.00, R=9 1.2283 1.2308
sig_y=2.00, sig_r=4.00, R=10 1.1454 1.1429
sig_y=2.00, sig_r=5.00, R=1 3.5167 3.4483
sig_y=2.00, sig_r=5.00, R=2 3.0672 3.0303
sig_y=2.00, sig_r=5.00, R=3 2.6904 2.7027
sig_y=2.00, sig_r=5.00, R=4 2.4184 2.439
sig_y=2.00, sig_r=5.00, R=5 2.2074 2.2222
sig_y=2.00, sig_r=5.00, R=6 2.0431 2.0408
sig_y=2.00, sig_r=5.00, R=7 1.8831 1.8868
sig_y=2.00, sig_r=5.00, R=8 1.7517 1.7544
sig_y=2.00, sig_r=5.00, R=9 1.6257 1.6393
sig_y=2.00, sig_r=5.00, R=10 1.517 1.5385
sig_y=2.00, sig_r=6.00, R=1 3.6187 3.6
sig_y=2.00, sig_r=6.00, R=2 3.2886 3.2727
sig_y=2.00, sig_r=6.00, R=3 2.9581 3
sig_y=2.00, sig_r=6.00, R=4 2.7229 2.7692
sig_y=2.00, sig_r=6.00, R=5 2.5811 2.5714
sig_y=2.00, sig_r=6.00, R=6 2.3239 2.4
sig_y=2.00, sig_r=6.00, R=7 2.2226 2.25
sig_y=2.00, sig_r=6.00, R=8 2.1823 2.1176
sig_y=2.00, sig_r=6.00, R=9 1.9531 2
sig_y=2.00, sig_r=6.00, R=10 1.8913 1.8947
sig_y=2.00, sig_r=7.00, R=1 3.7642 3.6981
sig_y=2.00, sig_r=7.00, R=2 3.3546 3.4386
sig_y=2.00, sig_r=7.00, R=3 3.1464 3.2131
sig_y=2.00, sig_r=7.00, R=4 3.0253 3.0154
sig_y=2.00, sig_r=7.00, R=5 2.8389 2.8406
sig_y=2.00, sig_r=7.00, R=6 2.6085 2.6849
sig_y=2.00, sig_r=7.00, R=7 2.5579 2.5455
sig_y=2.00, sig_r=7.00, R=8 2.4074 2.4198
sig_y=2.00, sig_r=7.00, R=9 2.2891 2.3059
sig_y=2.00, sig_r=7.00, R=10 2.1829 2.2022
sig_y=2.00, sig_r=8.00, R=1 3.7721 3.7647
sig_y=2.00, sig_r=8.00, R=2 3.5328 3.5556
sig_y=2.00, sig_r=8.00, R=3 3.325 3.3684
sig_y=2.00, sig_r=8.00, R=4 3.1174 3.2
sig_y=2.00, sig_r=8.00, R=5 3.088 3.0476
sig_y=2.00, sig_r=8.00, R=6 2.914 2.9091
sig_y=2.00, sig_r=8.00, R=7 2.8154 2.7826
sig_y=2.00, sig_r=8.00, R=8 2.664 2.6667
sig_y=2.00, sig_r=8.00, R=9 2.5719 2.56
sig_y=2.00, sig_r=8.00, R=10 2.4857 2.4615
sig_y=2.00, sig_r=9.00, R=1 3.7947 3.8118
sig_y=2.00, sig_r=9.00, R=2 3.6021 3.6404
sig_y=2.00, sig_r=9.00, R=3 3.435 3.4839
sig_y=2.00, sig_r=9.00, R=4 3.3157 3.3402
sig_y=2.00, sig_r=9.00, R=5 3.2886 3.2079
sig_y=2.00, sig_r=9.00, R=6 3.1592 3.0857
sig_y=2.00, sig_r=9.00, R=7 2.9002 2.9725
sig_y=2.00, sig_r=9.00, R=8 2.8706 2.8673
sig_y=2.00, sig_r=9.00, R=9 2.7781 2.7692
sig_y=2.00, sig_r=9.00, R=10 2.6332 2.6777
sig_y=2.00, sig_r=10.00, R=1 3.77 3.8462
sig_y=2.00, sig_r=10.00, R=2 3.7008 3.7037
sig_y=2.00, sig_r=10.00, R=3 3.5757 3.5714
sig_y=2.00, sig_r=10.00, R=4 3.4412 3.4483
sig_y=2.00, sig_r=10.00, R=5 3.3819 3.3333
sig_y=2.00, sig_r=10.00, R=6 3.2152 3.2258
sig_y=2.00, sig_r=10.00, R=7 3.0321 3.125
sig_y=2.00, sig_r=10.00, R=8 3.0431 3.0303
sig_y=2.00, sig_r=10.00, R=9 2.966 2.9412
sig_y=2.00, sig_r=10.00, R=10 2.854 2.8571
sig_y=3.00, sig_r=1.00, R=1 0.89858 0.9
sig_y=3.00, sig_r=1.00, R=2 0.47077 0.47368
sig_y=3.00, sig_r=1.00, R=3 0.31558 0.32143
sig_y=3.00, sig_r=1.00, R=4 0.24992 0.24324
sig_y=3.00, sig_r=1.00, R=5 0.1924 0.19565
sig_y=3.00, sig_r=1.00, R=6 0.16203 0.16364
sig_y=3.00, sig_r=1.00, R=7 0.13636 0.14063
sig_y=3.00, sig_r=1.00, R=8 0.12354 0.12329
sig_y=3.00, sig_r=1.00, R=9 0.11038 0.10976
sig_y=3.00, sig_r=1.00, R=10 0.10177 0.098901
sig_y=3.00, sig_r=2.00, R=1 2.8171 2.7692
sig_y=3.00, sig_r=2.00, R=2 1.6768 1.6364
sig_y=3.00, sig_r=2.00, R=3 1.2012 1.1613
sig_y=3.00, sig_r=2.00, R=4 0.87519 0.9
sig_y=3.00, sig_r=2.00, R=5 0.72916 0.73469
sig_y=3.00, sig_r=2.00, R=6 0.63228 0.62069
sig_y=3.00, sig_r=2.00, R=7 0.53231 0.53731
sig_y=3.00, sig_r=2.00, R=8 0.47007 0.47368
sig_y=3.00, sig_r=2.00, R=9 0.42689 0.42353
sig_y=3.00, sig_r=2.00, R=10 0.38705 0.38298
sig_y=3.00, sig_r=3.00, R=1 4.5116 4.5
sig_y=3.00, sig_r=3.00, R=2 3.0212 3
sig_y=3.00, sig_r=3.00, R=3 2.256 2.25
sig_y=3.00, sig_r=3.00, R=4 1.8276 1.8
sig_y=3.00, sig_r=3.00, R=5 1.4802 1.5
sig_y=3.00, sig_r=3.00, R=6 1.287 1.2857
sig_y=3.00, sig_r=3.00, R=7 1.1241 1.125
sig_y=3.00, sig_r=3.00, R=8 1.0086 1
sig_y=3.00, sig_r=3.00, R=9 0.90462 0.9
sig_y=3.00, sig_r=3.00, R=10 0.81722 0.81818
sig_y=3.00, sig_r=4.00, R=1 5.7034 5.76
sig_y=3.00, sig_r=4.00, R=2 4.2181 4.2353
sig_y=3.00, sig_r=4.00, R=3 3.425 3.3488
sig_y=3.00, sig_r=4.00, R=4 2.8736 2.7692
sig_y=3.00, sig_r=4.00, R=5 2.3516 2.3607
sig_y=3.00, sig_r=4.00, R=6 1.998 2.0571
sig_y=3.00, sig_r=4.00, R=7 1.8348 1.8228
sig_y=3.00, sig_r=4.00, R=8 1.5986 1.6364
sig_y=3.00, sig_r=4.00, R=9 1.5123 1.4845
sig_y=3.00, sig_r=4.00, R=10 1.3647 1.3585
sig_y=3.00, sig_r=5.00, R=1 6.5637 6.6176
sig_y=3.00, sig_r=5.00, R=2 5.1789 5.2326
sig_y=3.00, sig_r=5.00, R=3 4.2255 4.3269
sig_y=3.00, sig_r=5.00, R=4 3.7486 3.6885
sig_y=3.00, sig_r=5.00, R=5 3.193 3.2143
sig_y=3.00, sig_r=5.00, R=6 2.8204 2.8481
sig_y=3.00, sig_r=5.00, R=7 2.5836 2.5568
sig_y=3.00, sig_r=5.00, R=8 2.377 2.3196
sig_y=3.00, sig_r=5.00, R=9 2.0825 2.1226
sig_y=3.00, sig_r=5.00, R=10 1.9689 1.9565
sig_y=3.00, sig_r=6.00, R=1 7.2915 7.2
sig_y=3.00, sig_r=6.00, R=2 6.0393 6
sig_y=3.00, sig_r=6.00, R=3 5.1225 5.1429
sig_y=3.00, sig_r=6.00, R=4 4.4771 4.5
sig_y=3.00, sig_r=6.00, R=5 3.8412 4
sig_y=3.00, sig_r=6.00, R=6 3.5428 3.6
sig_y=3.00, sig_r=6.00, R=7 3.2281 3.2727
sig_y=3.00, sig_r=6.00, R=8 2.9946 3
sig_y=3.00, sig_r=6.00, R=9 2.7159 2.7692
sig_y=3.00, sig_r=6.00, R=10 2.6544 2.5714
sig_y=3.00, sig_r=7.00, R=1 7.6918 7.6034
sig_y=3.00, sig_r=7.00, R=2 6.6382 6.5821
sig_y=3.00, sig_r=7.00, R=3 5.9156 5.8026
sig_y=3.00, sig_r=7.00, R=4 5.1931 5.1882
sig_y=3.00, sig_r=7.00, R=5 4.683 4.6915
sig_y=3.00, sig_r=7.00, R=6 4.3796 4.2816
sig_y=3.00, sig_r=7.00, R=7 3.901 3.9375
sig_y=3.00, sig_r=7.00, R=8 3.7174 3.6446
sig_y=3.00, sig_r=7.00, R=9 3.3564 3.3923
sig_y=3.00, sig_r=7.00, R=10 3.2154 3.1727
sig_y=3.00, sig_r=8.00, R=1 7.8267 7.8904
sig_y=3.00, sig_r=8.00, R=2 7.1479 7.0244
sig_y=3.00, sig_r=8.00, R=3 6.3136 6.3297
sig_y=3.00, sig_r=8.00, R=4 5.7373 5.76
sig_y=3.00, sig_r=8.00, R=5 5.1921 5.2844
sig_y=3.00, sig_r=8.00, R=6 4.8965 4.8814
sig_y=3.00, sig_r=8.00, R=7 4.556 4.5354
sig_y=3.00, sig_r=8.00, R=8 4.1305 4.2353
sig_y=3.00, sig_r=8.00, R=9 3.9689 3.9724
sig_y=3.00, sig_r=8.00, R=10 3.7587 3.7403
sig_y=3.00, sig_r=9.00, R=1 8.2267 8.1
sig_y=3.00, sig_r=9.00, R=2 7.4429 7.3636
sig_y=3.00, sig_r=9.00, R=3 6.7938 6.75
sig_y=3.00, sig_r=9.00, R=4 6.1852 6.2308
sig_y=3.00, sig_r=9.00, R=5 5.7572 5.7857
sig_y=3.00, sig_r=9.00, R=6 5.3394 5.4
sig_y=3.00, sig_r=9.00, R=7 5.0315 5.0625
sig_y=3.00, sig_r=9.00, R=8 4.7081 4.7647
sig_y=3.00, sig_r=9.00, R=9 4.5341 4.5
sig_y=3.00, sig_r=9.00, R=10 4.1416 4.2632
sig_y=3.00, sig_r=10.00, R=1 8.0895 8.2569
sig_y=3.00, sig_r=10.00, R=2 7.4427 7.6271
sig_y=3.00, sig_r=10.00, R=3 7.1764 7.0866
sig_y=3.00, sig_r=10.00, R=4 6.5226 6.6176
sig_y=3.00, sig_r=10.00, R=5 6.2451 6.2069
sig_y=3.00, sig_r=10.00, R=6 5.9455 5.8442
sig_y=3.00, sig_r=10.00, R=7 5.4154 5.5215
sig_y=3.00, sig_r=10.00, R=8 5.3208 5.2326
sig_y=3.00, sig_r=10.00, R=9 5.0587 4.9724
sig_y=3.00, sig_r=10.00, R=10 4.7778 4.7368
sig_y=4.00, sig_r=1.00, R=1 0.95379 0.94118
sig_y=4.00, sig_r=1.00, R=2 0.48416 0.48485
sig_y=4.00, sig_r=1.00, R=3 0.32197 0.32653
sig_y=4.00, sig_r=1.00, R=4 0.23984 0.24615
sig_y=4.00, sig_r=1.00, R=5 0.19618 0.19753
sig_y=4.00, sig_r=1.00, R=6 0.16776 0.16495
sig_y=4.00, sig_r=1.00, R=7 0.14269 0.14159
sig_y=4.00, sig_r=1.00, R=8 0.12767 0.12403
sig_y=4.00, sig_r=1.00, R=9 0.1139 0.11034
sig_y=4.00, sig_r=1.00, R=10 0.097325 0.099379
sig_y=4.00, sig_r=2.00, R=1 3.2431 3.2
sig_y=4.00, sig_r=2.00, R=2 1.8065 1.7778
sig_y=4.00, sig_r=2.00, R=3 1.2204 1.2308
sig_y=4.00, sig_r=2.00, R=4 0.95151 0.94118
sig_y=4.00, sig_r=2.00, R=5 0.76211 0.7619
sig_y=4.00, sig_r=2.00, R=6 0.63852 0.64
sig_y=4.00, sig_r=2.00, R=7 0.54719 0.55172
sig_y=4.00, sig_r=2.00, R=8 0.47935 0.48485
sig_y=4.00, sig_r=2.00, R=9 0.43837 0.43243
sig_y=4.00, sig_r=2.00, R=10 0.39018 0.39024
sig_y=4.00, sig_r=3.00, R=1 5.6576 5.76
sig_y=4.00, sig_r=3.00, R=2 3.6156 3.5122
sig_y=4.00, sig_r=3.00, R=3 2.5288 2.5263
sig_y=4.00, sig_r=3.00, R=4 1.9712 1.9726
sig_y=4.00, sig_r=3.00, R=5 1.6101 1.618
sig_y=4.00, sig_r=3.00, R=6 1.4008 1.3714
sig_y=4.00, sig_r=3.00, R=7 1.1759 1.1901
sig_y=4.00, sig_r=3.00, R=8 1.0671 1.0511
sig_y=4.00, sig_r=3.00, R=9 0.9496 0.94118
sig_y=4.00, sig_r=3.00, R=10 0.83835 0.85207
sig_y=4.00, sig_r=4.00, R=1 8.1804 8
sig_y=4.00, sig_r=4.00, R=2 5.3561 5.3333
sig_y=4.00, sig_r=4.00, R=3 3.9963 4
sig_y=4.00, sig_r=4.00, R=4 3.2281 3.2
sig_y=4.00, sig_r=4.00, R=5 2.6621 2.6667
sig_y=4.00, sig_r=4.00, R=6 2.2109 2.2857
sig_y=4.00, sig_r=4.00, R=7 1.9766 2
sig_y=4.00, sig_r=4.00, R=8 1.8068 1.7778
sig_y=4.00, sig_r=4.00, R=9 1.5966 1.6
sig_y=4.00, sig_r=4.00, R=10 1.4751 1.4545
sig_y=4.00, sig_r=5.00, R=1 10.081 9.7561
sig_y=4.00, sig_r=5.00, R=2 7.1108 7.0175
sig_y=4.00, sig_r=5.00, R=3 5.4275 5.4795
sig_y=4.00, sig_r=5.00, R=4 4.5248 4.4944
sig_y=4.00, sig_r=5.00, R=5 3.9059 3.8095
sig_y=4.00, sig_r=5.00, R=6 3.254 3.3058
sig_y=4.00, sig_r=5.00, R=7 2.9904 2.9197
sig_y=4.00, sig_r=5.00, R=8 2.5836 2.6144
sig_y=4.00, sig_r=5.00, R=9 2.3639 2.3669
sig_y=4.00, sig_r=5.00, R=10 2.1707 2.1622
sig_y=4.00, sig_r=6.00, R=1 11.224 11.077
sig_y=4.00, sig_r=6.00, R=2 8.5534 8.4706
sig_y=4.00, sig_r=6.00, R=3 6.8603 6.8571
sig_y=4.00, sig_r=6.00, R=4 5.925 5.76
sig_y=4.00, sig_r=6.00, R=5 4.9416 4.9655
sig_y=4.00, sig_r=6.00, R=6 4.3578 4.3636
sig_y=4.00, sig_r=6.00, R=7 3.9294 3.8919
sig_y=4.00, sig_r=6.00, R=8 3.5297 3.5122
sig_y=4.00, sig_r=6.00, R=9 3.2628 3.2
sig_y=4.00, sig_r=6.00, R=10 2.9462 2.9388
sig_y=4.00, sig_r=7.00, R=1 12.054 12.062
sig_y=4.00, sig_r=7.00, R=2 9.8227 9.679
sig_y=4.00, sig_r=7.00, R=3 8.128 8.0825
sig_y=4.00, sig_r=7.00, R=4 6.9482 6.9381
sig_y=4.00, sig_r=7.00, R=5 5.9708 6.0775
sig_y=4.00, sig_r=7.00, R=6 5.364 5.4069
sig_y=4.00, sig_r=7.00, R=7 4.8815 4.8696
sig_y=4.00, sig_r=7.00, R=8 4.5296 4.4294
sig_y=4.00, sig_r=7.00, R=9 3.9622 4.0622
sig_y=4.00, sig_r=7.00, R=10 3.8735 3.7512
sig_y=4.00, sig_r=8.00, R=1 12.674 12.8
sig_y=4.00, sig_r=8.00, R=2 10.755 10.667
sig_y=4.00, sig_r=8.00, R=3 8.8375 9.1429
sig_y=4.00, sig_r=8.00, R=4 8.0773 8
sig_y=4.00, sig_r=8.00, R=5 7.1142 7.1111
sig_y=4.00, sig_r=8.00, R=6 6.3732 6.4
sig_y=4.00, sig_r=8.00, R=7 5.7735 5.8182
sig_y=4.00, sig_r=8.00, R=8 5.3383 5.3333
sig_y=4.00, sig_r=8.00, R=9 4.9808 4.9231
sig_y=4.00, sig_r=8.00, R=10 4.5605 4.5714
sig_y=4.00, sig_r=9.00, R=1 13.483 13.361
sig_y=4.00, sig_r=9.00, R=2 11.418 11.469
sig_y=4.00, sig_r=9.00, R=3 9.975 10.047
sig_y=4.00, sig_r=9.00, R=4 9.0129 8.9379
sig_y=4.00, sig_r=9.00, R=5 8.0805 8.0497
sig_y=4.00, sig_r=9.00, R=6 7.3397 7.322
sig_y=4.00, sig_r=9.00, R=7 6.7422 6.715
sig_y=4.00, sig_r=9.00, R=8 6.1887 6.201
sig_y=4.00, sig_r=9.00, R=9 5.7837 5.76
sig_y=4.00, sig_r=9.00, R=10 5.4067 5.3776
sig_y=4.00, sig_r=10.00, R=1 13.564 13.793
sig_y=4.00, sig_r=10.00, R=2 11.875 12.121
sig_y=4.00, sig_r=10.00, R=3 10.704 10.811
sig_y=4.00, sig_r=10.00, R=4 9.9637 9.7561
sig_y=4.00, sig_r=10.00, R=5 8.8188 8.8889
sig_y=4.00, sig_r=10.00, R=6 8.1992 8.1633
sig_y=4.00, sig_r=10.00, R=7 7.6881 7.5472
sig_y=4.00, sig_r=10.00, R=8 7.0584 7.0175
sig_y=4.00, sig_r=10.00, R=9 6.5205 6.5574
sig_y=4.00, sig_r=10.00, R=10 6.0502 6.1538
sig_y=5.00, sig_r=1.00, R=1 0.95073 0.96154
sig_y=5.00, sig_r=1.00, R=2 0.49653 0.4902
sig_y=5.00, sig_r=1.00, R=3 0.33156 0.32895
sig_y=5.00, sig_r=1.00, R=4 0.24497 0.24752
sig_y=5.00, sig_r=1.00, R=5 0.19915 0.19841
sig_y=5.00, sig_r=1.00, R=6 0.16605 0.16556
sig_y=5.00, sig_r=1.00, R=7 0.14015 0.14205
sig_y=5.00, sig_r=1.00, R=8 0.12693 0.12438
sig_y=5.00, sig_r=1.00, R=9 0.10915 0.11062
sig_y=5.00, sig_r=1.00, R=10 0.09672 0.099602
sig_y=5.00, sig_r=2.00, R=1 3.4942 3.4483
sig_y=5.00, sig_r=2.00, R=2 1.8533 1.8519
sig_y=5.00, sig_r=2.00, R=3 1.2842 1.2658
sig_y=5.00, sig_r=2.00, R=4 0.96227 0.96154
sig_y=5.00, sig_r=2.00, R=5 0.76757 0.77519
sig_y=5.00, sig_r=2.00, R=6 0.64448 0.64935
sig_y=5.00, sig_r=2.00, R=7 0.56785 0.55866
sig_y=5.00, sig_r=2.00, R=8 0.4848 0.4902
sig_y=5.00, sig_r=2.00, R=9 0.43913 0.43668
sig_y=5.00, sig_r=2.00, R=10 0.40274 0.3937
sig_y=5.00, sig_r=3.00, R=1 6.5072 6.6176
sig_y=5.00, sig_r=3.00, R=2 3.7996 3.8136
sig_y=5.00, sig_r=3.00, R=3 2.711 2.6786
sig_y=5.00, sig_r=3.00, R=4 2.0684 2.0642
sig_y=5.00, sig_r=3.00, R=5 1.6762 1.6791
sig_y=5.00, sig_r=3.00, R=6 1.4273 1.4151
sig_y=5.00, sig_r=3.00, R=7 1.2112 1.2228
sig_y=5.00, sig_r=3.00, R=8 1.0807 1.0766
sig_y=5.00, sig_r=3.00, R=9 0.95865 0.96154
sig_y=5.00, sig_r=3.00, R=10 0.88982 0.86873
sig_y=5.00, sig_r=4.00, R=1 9.8737 9.7561
sig_y=5.00, sig_r=4.00, R=2 5.9057 6.0606
sig_y=5.00, sig_r=4.00, R=3 4.4733 4.3956
sig_y=5.00, sig_r=4.00, R=4 3.5025 3.4483
sig_y=5.00, sig_r=4.00, R=5 2.8521 2.8369
sig_y=5.00, sig_r=4.00, R=6 2.432 2.4096
sig_y=5.00, sig_r=4.00, R=7 2.1374 2.0942
sig_y=5.00, sig_r=4.00, R=8 1.8554 1.8519
sig_y=5.00, sig_r=4.00, R=9 1.6543 1.6598
sig_y=5.00, sig_r=4.00, R=10 1.5136 1.5038
sig_y=5.00, sig_r=5.00, R=1 12.749 12.5
sig_y=5.00, sig_r=5.00, R=2 8.4376 8.3333
sig_y=5.00, sig_r=5.00, R=3 6.2133 6.25
sig_y=5.00, sig_r=5.00, R=4 5.0499 5
sig_y=5.00, sig_r=5.00, R=5 4.1116 4.1667
sig_y=5.00, sig_r=5.00, R=6 3.6237 3.5714
sig_y=5.00, sig_r=5.00, R=7 3.1381 3.125
sig_y=5.00, sig_r=5.00, R=8 2.8987 2.7778
sig_y=5.00, sig_r=5.00, R=9 2.5818 2.5
sig_y=5.00, sig_r=5.00, R=10 2.2762 2.2727
sig_y=5.00, sig_r=6.00, R=1 14.798 14.754
sig_y=5.00, sig_r=6.00, R=2 10.318 10.465
sig_y=5.00, sig_r=6.00, R=3 8.0411 8.1081
sig_y=5.00, sig_r=6.00, R=4 6.584 6.6176
sig_y=5.00, sig_r=6.00, R=5 5.4941 5.5901
sig_y=5.00, sig_r=6.00, R=6 4.7243 4.8387
sig_y=5.00, sig_r=6.00, R=7 4.3701 4.2654
sig_y=5.00, sig_r=6.00, R=8 3.8058 3.8136
sig_y=5.00, sig_r=6.00, R=9 3.4099 3.4483
sig_y=5.00, sig_r=6.00, R=10 3.1194 3.1469
sig_y=5.00, sig_r=7.00, R=1 16.45 16.554
sig_y=5.00, sig_r=7.00, R=2 12.552 12.374
sig_y=5.00, sig_r=7.00, R=3 9.8031 9.879
sig_y=5.00, sig_r=7.00, R=4 8.1631 8.2215
sig_y=5.00, sig_r=7.00, R=5 6.9895 7.0402
sig_y=5.00, sig_r=7.00, R=6 6.0693 6.1558
sig_y=5.00, sig_r=7.00, R=7 5.4622 5.4688
sig_y=5.00, sig_r=7.00, R=8 5.0078 4.9197
sig_y=5.00, sig_r=7.00, R=9 4.5167 4.4708
sig_y=5.00, sig_r=7.00, R=10 3.9503 4.097
sig_y=5.00, sig_r=8.00, R=1 18.221 17.978
sig_y=5.00, sig_r=8.00, R=2 14.264 14.035
sig_y=5.00, sig_r=8.00, R=3 11.452 11.511
sig_y=5.00, sig_r=8.00, R=4 9.5954 9.7561
sig_y=5.00, sig_r=8.00, R=5 8.1893 8.4656
sig_y=5.00, sig_r=8.00, R=6 7.5941 7.4766
sig_y=5.00, sig_r=8.00, R=7 6.5809 6.6946
sig_y=5.00, sig_r=8.00, R=8 6.0486 6.0606
sig_y=5.00, sig_r=8.00, R=9 5.5043 5.5363
sig_y=5.00, sig_r=8.00, R=10 5.2116 5.0955
sig_y=5.00, sig_r=9.00, R=1 18.9 19.104
sig_y=5.00, sig_r=9.00, R=2 15.537 15.458
sig_y=5.00, sig_r=9.00, R=3 12.922 12.981
sig_y=5.00, sig_r=9.00, R=4 11.534 11.188
sig_y=5.00, sig_r=9.00, R=5 9.9342 9.8301
sig_y=5.00, sig_r=9.00, R=6 8.7662 8.7662
sig_y=5.00, sig_r=9.00, R=7 7.8618 7.9102
sig_y=5.00, sig_r=9.00, R=8 7.2112 7.2064
sig_y=5.00, sig_r=9.00, R=9 6.7079 6.6176
sig_y=5.00, sig_r=9.00, R=10 6.1812 6.1178
sig_y=5.00, sig_r=10.00, R=1 20.246 20
sig_y=5.00, sig_r=10.00, R=2 16.787 16.667
sig_y=5.00, sig_r=10.00, R=3 14.686 14.286
sig_y=5.00, sig_r=10.00, R=4 12.492 12.5
sig_y=5.00, sig_r=10.00, R=5 11.145 11.111
sig_y=5.00, sig_r=10.00, R=6 9.9608 10
sig_y=5.00, sig_r=10.00, R=7 9.3017 9.0909
sig_y=5.00, sig_r=10.00, R=8 8.3333 8.3333
sig_y=5.00, sig_r=10.00, R=9 7.8432 7.6923
sig_y=5.00, sig_r=10.00, R=10 7.1635 7.1429
sig_y=6.00, sig_r=1.00, R=1 0.988 0.97297
sig_y=6.00, sig_r=1.00, R=2 0.49205 0.49315
sig_y=6.00, sig_r=1.00, R=3 0.32996 0.33028
sig_y=6.00, sig_r=1.00, R=4 0.24377 0.24828
sig_y=6.00, sig_r=1.00, R=5 0.20001 0.1989
sig_y=6.00, sig_r=1.00, R=6 0.16462 0.1659
sig_y=6.00, sig_r=1.00, R=7 0.14243 0.14229
sig_y=6.00, sig_r=1.00, R=8 0.12493 0.12457
sig_y=6.00, sig_r=1.00, R=9 0.11137 0.11077
sig_y=6.00, sig_r=1.00, R=10 0.099975 0.099723
sig_y=6.00, sig_r=2.00, R=1 3.5964 3.6
sig_y=6.00, sig_r=2.00, R=2 1.9001 1.8947
sig_y=6.00, sig_r=2.00, R=3 1.3102 1.2857
sig_y=6.00, sig_r=2.00, R=4 0.94073 0.97297
sig_y=6.00, sig_r=2.00, R=5 0.78844 0.78261
sig_y=6.00, sig_r=2.00, R=6 0.66088 0.65455
sig_y=6.00, sig_r=2.00, R=7 0.55256 0.5625
sig_y=6.00, sig_r=2.00, R=8 0.48221 0.49315
sig_y=6.00, sig_r=2.00, R=9 0.43268 0.43902
sig_y=6.00, sig_r=2.00, R=10 0.38632 0.3956
sig_y=6.00, sig_r=3.00, R=1 7.3097 7.2
sig_y=6.00, sig_r=3.00, R=2 3.9459 4
sig_y=6.00, sig_r=3.00, R=3 2.7741 2.7692
sig_y=6.00, sig_r=3.00, R=4 2.1107 2.1176
sig_y=6.00, sig_r=3.00, R=5 1.7527 1.7143
sig_y=6.00, sig_r=3.00, R=6 1.4388 1.44
sig_y=6.00, sig_r=3.00, R=7 1.2408 1.2414
sig_y=6.00, sig_r=3.00, R=8 1.1182 1.0909
sig_y=6.00, sig_r=3.00, R=9 0.95837 0.97297
sig_y=6.00, sig_r=3.00, R=10 0.88161 0.87805
sig_y=6.00, sig_r=4.00, R=1 11.175 11.077
sig_y=6.00, sig_r=4.00, R=2 6.4075 6.5455
sig_y=6.00, sig_r=4.00, R=3 4.7262 4.6452
sig_y=6.00, sig_r=4.00, R=4 3.5955 3.6
sig_y=6.00, sig_r=4.00, R=5 2.9207 2.9388
sig_y=6.00, sig_r=4.00, R=6 2.483 2.4828
sig_y=6.00, sig_r=4.00, R=7 2.1896 2.1493
sig_y=6.00, sig_r=4.00, R=8 1.8849 1.8947
sig_y=6.00, sig_r=4.00, R=9 1.6653 1.6941
sig_y=6.00, sig_r=4.00, R=10 1.5553 1.5319
sig_y=6.00, sig_r=5.00, R=1 15.056 14.754
sig_y=6.00, sig_r=5.00, R=2 9.2093 9.2784
sig_y=6.00, sig_r=5.00, R=3 6.8213 6.7669
sig_y=6.00, sig_r=5.00, R=4 5.3753 5.3254
sig_y=6.00, sig_r=5.00, R=5 4.33 4.3902
sig_y=6.00, sig_r=5.00, R=6 3.7 3.7344
sig_y=6.00, sig_r=5.00, R=7 3.2557 3.2491
sig_y=6.00, sig_r=5.00, R=8 2.9039 2.8754
sig_y=6.00, sig_r=5.00, R=9 2.5835 2.5788
sig_y=6.00, sig_r=5.00, R=10 2.329 2.3377
sig_y=6.00, sig_r=6.00, R=1 18.059 18
sig_y=6.00, sig_r=6.00, R=2 11.608 12
sig_y=6.00, sig_r=6.00, R=3 8.926 9
sig_y=6.00, sig_r=6.00, R=4 7.3176 7.2
sig_y=6.00, sig_r=6.00, R=5 5.9473 6
sig_y=6.00, sig_r=6.00, R=6 5.1345 5.1429
sig_y=6.00, sig_r=6.00, R=7 4.5696 4.5
sig_y=6.00, sig_r=6.00, R=8 3.9536 4
sig_y=6.00, sig_r=6.00, R=9 3.534 3.6
sig_y=6.00, sig_r=6.00, R=10 3.3226 3.2727
sig_y=6.00, sig_r=7.00, R=1 20.756 20.753
sig_y=6.00, sig_r=7.00, R=2 14.505 14.579
sig_y=6.00, sig_r=7.00, R=3 11.389 11.236
sig_y=6.00, sig_r=7.00, R=4 8.8145 9.1399
sig_y=6.00, sig_r=7.00, R=5 7.8897 7.7031
sig_y=6.00, sig_r=7.00, R=6 6.627 6.6566
sig_y=6.00, sig_r=7.00, R=7 5.8211 5.8605
sig_y=6.00, sig_r=7.00, R=8 5.2604 5.2344
sig_y=6.00, sig_r=7.00, R=9 4.7082 4.7292
sig_y=6.00, sig_r=7.00, R=10 4.1848 4.313
sig_y=6.00, sig_r=8.00, R=1 22.782 23.04
sig_y=6.00, sig_r=8.00, R=2 16.834 16.941
sig_y=6.00, sig_r=8.00, R=3 13.229 13.395
sig_y=6.00, sig_r=8.00, R=4 11.026 11.077
sig_y=6.00, sig_r=8.00, R=5 9.5409 9.4426
sig_y=6.00, sig_r=8.00, R=6 8.3741 8.2286
sig_y=6.00, sig_r=8.00, R=7 7.2344 7.2911
sig_y=6.00, sig_r=8.00, R=8 6.6487 6.5455
sig_y=6.00, sig_r=8.00, R=9 5.9809 5.9381
sig_y=6.00, sig_r=8.00, R=10 5.5646 5.434
sig_y=6.00, sig_r=9.00, R=1 25.142 24.923
sig_y=6.00, sig_r=9.00, R=2 19.141 19.059
sig_y=6.00, sig_r=9.00, R=3 15.386 15.429
sig_y=6.00, sig_r=9.00, R=4 12.805 12.96
sig_y=6.00, sig_r=9.00, R=5 10.958 11.172
sig_y=6.00, sig_r=9.00, R=6 9.6412 9.8182
sig_y=6.00, sig_r=9.00, R=7 8.8107 8.7568
sig_y=6.00, sig_r=9.00, R=8 7.9845 7.9024
sig_y=6.00, sig_r=9.00, R=9 7.1153 7.2
sig_y=6.00, sig_r=9.00, R=10 6.6371 6.6122
sig_y=6.00, sig_r=10.00, R=1 26.75 26.471
sig_y=6.00, sig_r=10.00, R=2 21.039 20.93
sig_y=6.00, sig_r=10.00, R=3 17.013 17.308
sig_y=6.00, sig_r=10.00, R=4 15.158 14.754
sig_y=6.00, sig_r=10.00, R=5 13.01 12.857
sig_y=6.00, sig_r=10.00, R=6 11.464 11.392
sig_y=6.00, sig_r=10.00, R=7 10.067 10.227
sig_y=6.00, sig_r=10.00, R=8 9.2414 9.2784
sig_y=6.00, sig_r=10.00, R=9 8.4836 8.4906
sig_y=6.00, sig_r=10.00, R=10 7.8524 7.8261
sig_y=7.00, sig_r=1.00, R=1 0.97917 0.98
sig_y=7.00, sig_r=1.00, R=2 0.4965 0.49495
sig_y=7.00, sig_r=1.00, R=3 0.33299 0.33108
sig_y=7.00, sig_r=1.00, R=4 0.25107 0.24873
sig_y=7.00, sig_r=1.00, R=5 0.19879 0.19919
sig_y=7.00, sig_r=1.00, R=6 0.16594 0.1661
sig_y=7.00, sig_r=1.00, R=7 0.1431 0.14244
sig_y=7.00, sig_r=1.00, R=8 0.12138 0.12468
sig_y=7.00, sig_r=1.00, R=9 0.11209 0.11086
sig_y=7.00, sig_r=1.00, R=10 0.10014 0.099796
sig_y=7.00, sig_r=2.00, R=1 3.6678 3.6981
sig_y=7.00, sig_r=2.00, R=2 1.9354 1.9216
sig_y=7.00, sig_r=2.00, R=3 1.3176 1.298
sig_y=7.00, sig_r=2.00, R=4 1.01 0.98
sig_y=7.00, sig_r=2.00, R=5 0.78727 0.78715
sig_y=7.00, sig_r=2.00, R=6 0.64428 0.65772
sig_y=7.00, sig_r=2.00, R=7 0.56351 0.56484
sig_y=7.00, sig_r=2.00, R=8 0.49255 0.49495
sig_y=7.00, sig_r=2.00, R=9 0.4454 0.44045
sig_y=7.00, sig_r=2.00, R=10 0.39825 0.39676
sig_y=7.00, sig_r=3.00, R=1 7.5431 7.6034
sig_y=7.00, sig_r=3.00, R=2 4.1277 4.1215
sig_y=7.00, sig_r=3.00, R=3 2.7974 2.8269
sig_y=7.00, sig_r=3.00, R=4 2.1453 2.1512
sig_y=7.00, sig_r=3.00, R=5 1.7378 1.7362
sig_y=7.00, sig_r=3.00, R=6 1.4459 1.4554
sig_y=7.00, sig_r=3.00, R=7 1.2551 1.2528
sig_y=7.00, sig_r=3.00, R=8 1.0965 1.0998
sig_y=7.00, sig_r=3.00, R=9 0.96455 0.98
sig_y=7.00, sig_r=3.00, R=10 0.89942 0.88377
sig_y=7.00, sig_r=4.00, R=1 12.05 12.062
sig_y=7.00, sig_r=4.00, R=2 6.9471 6.8772
sig_y=7.00, sig_r=4.00, R=3 4.851 4.8098
sig_y=7.00, sig_r=4.00, R=4 3.6777 3.6981
sig_y=7.00, sig_r=4.00, R=5 3.0775 3.0038
sig_y=7.00, sig_r=4.00, R=6 2.5136 2.529
sig_y=7.00, sig_r=4.00, R=7 2.2543 2.1838
sig_y=7.00, sig_r=4.00, R=8 1.9398 1.9216
sig_y=7.00, sig_r=4.00, R=9 1.7066 1.7155
sig_y=7.00, sig_r=4.00, R=10 1.5504 1.5494
sig_y=7.00, sig_r=5.00, R=1 16.253 16.554
sig_y=7.00, sig_r=5.00, R=2 9.9091 9.9593
sig_y=7.00, sig_r=5.00, R=3 7.0375 7.1221
sig_y=7.00, sig_r=5.00, R=4 5.5741 5.543
sig_y=7.00, sig_r=5.00, R=5 4.5637 4.537
sig_y=7.00, sig_r=5.00, R=6 3.9108 3.8401
sig_y=7.00, sig_r=5.00, R=7 3.3035 3.3288
sig_y=7.00, sig_r=5.00, R=8 2.8996 2.9376
sig_y=7.00, sig_r=5.00, R=9 2.6399 2.6288
sig_y=7.00, sig_r=5.00, R=10 2.3978 2.3786
sig_y=7.00, sig_r=6.00, R=1 20.939 20.753
sig_y=7.00, sig_r=6.00, R=2 13.098 13.164
sig_y=7.00, sig_r=6.00, R=3 9.6899 9.6393
sig_y=7.00, sig_r=6.00, R=4 7.5994 7.6034
sig_y=7.00, sig_r=6.00, R=5 6.2366 6.2776
sig_y=7.00, sig_r=6.00, R=6 5.4819 5.3455
sig_y=7.00, sig_r=6.00, R=7 4.7094 4.6544
sig_y=7.00, sig_r=6.00, R=8 4.1447 4.1215
sig_y=7.00, sig_r=6.00, R=9 3.6877 3.6981
sig_y=7.00, sig_r=6.00, R=10 3.3794 3.3536
sig_y=7.00, sig_r=7.00, R=1 24.299 24.5
sig_y=7.00, sig_r=7.00, R=2 16.259 16.333
sig_y=7.00, sig_r=7.00, R=3 12.364 12.25
sig_y=7.00, sig_r=7.00, R=4 9.8595 9.8
sig_y=7.00, sig_r=7.00, R=5 8.2256 8.1667
sig_y=7.00, sig_r=7.00, R=6 7.1811 7
sig_y=7.00, sig_r=7.00, R=7 6.1638 6.125
sig_y=7.00, sig_r=7.00, R=8 5.3406 5.4444
sig_y=7.00, sig_r=7.00, R=9 4.9874 4.9
sig_y=7.00, sig_r=7.00, R=10 4.454 4.4545
sig_y=7.00, sig_r=8.00, R=1 27.64 27.752
sig_y=7.00, sig_r=8.00, R=2 19.401 19.358
sig_y=7.00, sig_r=8.00, R=3 14.754 14.863
sig_y=7.00, sig_r=8.00, R=4 12.069 12.062
sig_y=7.00, sig_r=8.00, R=5 10.494 10.149
sig_y=7.00, sig_r=8.00, R=6 8.751 8.7598
sig_y=7.00, sig_r=8.00, R=7 7.6554 7.7052
sig_y=7.00, sig_r=8.00, R=8 6.8191 6.8772
sig_y=7.00, sig_r=8.00, R=9 6.1646 6.2099
sig_y=7.00, sig_r=8.00, R=10 5.6677 5.6606
sig_y=7.00, sig_r=9.00, R=1 30.678 30.531
sig_y=7.00, sig_r=9.00, R=2 22.066 22.173
sig_y=7.00, sig_r=9.00, R=3 17.581 17.408
sig_y=7.00, sig_r=9.00, R=4 14.263 14.329
sig_y=7.00, sig_r=9.00, R=5 12.232 12.175
sig_y=7.00, sig_r=9.00, R=6 10.636 10.584
sig_y=7.00, sig_r=9.00, R=7 9.3501 9.3608
sig_y=7.00, sig_r=9.00, R=8 8.6115 8.3911
sig_y=7.00, sig_r=9.00, R=9 7.4656 7.6034
sig_y=7.00, sig_r=9.00, R=10 6.9153 6.951
sig_y=7.00, sig_r=10.00, R=1 32.644 32.886
sig_y=7.00, sig_r=10.00, R=2 24.572 24.747
sig_y=7.00, sig_r=10.00, R=3 20.276 19.838
sig_y=7.00, sig_r=10.00, R=4 16.874 16.554
sig_y=7.00, sig_r=10.00, R=5 14.09 14.203
sig_y=7.00, sig_r=10.00, R=6 12.358 12.437
sig_y=7.00, sig_r=10.00, R=7 11.107 11.061
sig_y=7.00, sig_r=10.00, R=8 10.044 9.9593
sig_y=7.00, sig_r=10.00, R=9 9.0851 9.0573
sig_y=7.00, sig_r=10.00, R=10 8.5408 8.3051
sig_y=8.00, sig_r=1.00, R=1 0.96352 0.98462
sig_y=8.00, sig_r=1.00, R=2 0.50481 0.49612
sig_y=8.00, sig_r=1.00, R=3 0.32115 0.33161
sig_y=8.00, sig_r=1.00, R=4 0.25107 0.24903
sig_y=8.00, sig_r=1.00, R=5 0.20036 0.19938
sig_y=8.00, sig_r=1.00, R=6 0.16684 0.16623
sig_y=8.00, sig_r=1.00, R=7 0.14382 0.14254
sig_y=8.00, sig_r=1.00, R=8 0.12157 0.12476
sig_y=8.00, sig_r=1.00, R=9 0.11007 0.11092
sig_y=8.00, sig_r=1.00, R=10 0.10033 0.099844
sig_y=8.00, sig_r=2.00, R=1 3.7212 3.7647
sig_y=8.00, sig_r=2.00, R=2 1.9619 1.9394
sig_y=8.00, sig_r=2.00, R=3 1.2944 1.3061
sig_y=8.00, sig_r=2.00, R=4 0.97559 0.98462
sig_y=8.00, sig_r=2.00, R=5 0.78989 0.79012
sig_y=8.00, sig_r=2.00, R=6 0.64196 0.65979
sig_y=8.00, sig_r=2.00, R=7 0.5732 0.56637
sig_y=8.00, sig_r=2.00, R=8 0.49092 0.49612
sig_y=8.00, sig_r=2.00, R=9 0.44248 0.44138
sig_y=8.00, sig_r=2.00, R=10 0.395 0.39752
sig_y=8.00, sig_r=3.00, R=1 7.9743 7.8904
sig_y=8.00, sig_r=3.00, R=2 4.0894 4.2044
sig_y=8.00, sig_r=3.00, R=3 2.8998 2.8657
sig_y=8.00, sig_r=3.00, R=4 2.1734 2.1736
sig_y=8.00, sig_r=3.00, R=5 1.7656 1.7508
sig_y=8.00, sig_r=3.00, R=6 1.4925 1.4656
sig_y=8.00, sig_r=3.00, R=7 1.2342 1.2604
sig_y=8.00, sig_r=3.00, R=8 1.0961 1.1056
sig_y=8.00, sig_r=3.00, R=9 0.99045 0.98462
sig_y=8.00, sig_r=3.00, R=10 0.89098 0.88752
sig_y=8.00, sig_r=4.00, R=1 12.439 12.8
sig_y=8.00, sig_r=4.00, R=2 7.2462 7.1111
sig_y=8.00, sig_r=4.00, R=3 5.0344 4.9231
sig_y=8.00, sig_r=4.00, R=4 3.7953 3.7647
sig_y=8.00, sig_r=4.00, R=5 3.1054 3.0476
sig_y=8.00, sig_r=4.00, R=6 2.6044 2.56
sig_y=8.00, sig_r=4.00, R=7 2.2119 2.2069
sig_y=8.00, sig_r=4.00, R=8 1.9372 1.9394
sig_y=8.00, sig_r=4.00, R=9 1.7426 1.7297
sig_y=8.00, sig_r=4.00, R=10 1.5485 1.561
sig_y=8.00, sig_r=5.00, R=1 17.856 17.978
sig_y=8.00, sig_r=5.00, R=2 10.556 10.458
sig_y=8.00, sig_r=5.00, R=3 7.4638 7.3733
sig_y=8.00, sig_r=5.00, R=4 5.6508 5.694
sig_y=8.00, sig_r=5.00, R=5 4.6835 4.6377
sig_y=8.00, sig_r=5.00, R=6 3.8555 3.912
sig_y=8.00, sig_r=5.00, R=7 3.3836 3.3827
sig_y=8.00, sig_r=5.00, R=8 3.0165 2.9795
sig_y=8.00, sig_r=5.00, R=9 2.6559 2.6622
sig_y=8.00, sig_r=5.00, R=10 2.3808 2.406
sig_y=8.00, sig_r=6.00, R=1 22.989 23.04
sig_y=8.00, sig_r=6.00, R=2 14.263 14.049
sig_y=8.00, sig_r=6.00, R=3 10.108 10.105
sig_y=8.00, sig_r=6.00, R=4 8.0172 7.8904
sig_y=8.00, sig_r=6.00, R=5 6.5195 6.4719
sig_y=8.00, sig_r=6.00, R=6 5.3953 5.4857
sig_y=8.00, sig_r=6.00, R=7 4.7407 4.7603
sig_y=8.00, sig_r=6.00, R=8 4.1296 4.2044
sig_y=8.00, sig_r=6.00, R=9 3.6886 3.7647
sig_y=8.00, sig_r=6.00, R=10 3.4548 3.4083
sig_y=8.00, sig_r=7.00, R=1 27.566 27.752
sig_y=8.00, sig_r=7.00, R=2 17.724 17.718
sig_y=8.00, sig_r=7.00, R=3 12.757 13.012
sig_y=8.00, sig_r=7.00, R=4 10.083 10.282
sig_y=8.00, sig_r=7.00, R=5 8.5527 8.4986
sig_y=8.00, sig_r=7.00, R=6 7.4927 7.2425
sig_y=8.00, sig_r=7.00, R=7 6.3083 6.3099
sig_y=8.00, sig_r=7.00, R=8 5.5813 5.59
sig_y=8.00, sig_r=7.00, R=9 4.8258 5.0176
sig_y=8.00, sig_r=7.00, R=10 4.4481 4.5515
sig_y=8.00, sig_r=8.00, R=1 31.224 32
sig_y=8.00, sig_r=8.00, R=2 21.608 21.333
sig_y=8.00, sig_r=8.00, R=3 16.014 16
sig_y=8.00, sig_r=8.00, R=4 12.589 12.8
sig_y=8.00, sig_r=8.00, R=5 10.547 10.667
sig_y=8.00, sig_r=8.00, R=6 9.1192 9.1429
sig_y=8.00, sig_r=8.00, R=7 8.1449 8
sig_y=8.00, sig_r=8.00, R=8 7.1976 7.1111
sig_y=8.00, sig_r=8.00, R=9 6.3518 6.4
sig_y=8.00, sig_r=8.00, R=10 5.7517 5.8182
sig_y=8.00, sig_r=9.00, R=1 35.907 35.752
sig_y=8.00, sig_r=9.00, R=2 25.051 24.804
sig_y=8.00, sig_r=9.00, R=3 18.811 18.989
sig_y=8.00, sig_r=9.00, R=4 15.653 15.383
sig_y=8.00, sig_r=9.00, R=5 13.273 12.928
sig_y=8.00, sig_r=9.00, R=6 11.328 11.148
sig_y=8.00, sig_r=9.00, R=7 9.8957 9.7996
sig_y=8.00, sig_r=9.00, R=8 8.7147 8.742
sig_y=8.00, sig_r=9.00, R=9 7.8945 7.8904
sig_y=8.00, sig_r=9.00, R=10 7.2572 7.19
sig_y=8.00, sig_r=10.00, R=1 39.45 39.024
sig_y=8.00, sig_r=10.00, R=2 28.507 28.07
sig_y=8.00, sig_r=10.00, R=3 21.334 21.918
sig_y=8.00, sig_r=10.00, R=4 18.149 17.978
sig_y=8.00, sig_r=10.00, R=5 15.411 15.238
sig_y=8.00, sig_r=10.00, R=6 13.466 13.223
sig_y=8.00, sig_r=10.00, R=7 11.426 11.679
sig_y=8.00, sig_r=10.00, R=8 10.372 10.458
sig_y=8.00, sig_r=10.00, R=9 9.2202 9.4675
sig_y=8.00, sig_r=10.00, R=10 8.8016 8.6486
sig_y=9.00, sig_r=1.00, R=1 0.98468 0.9878
sig_y=9.00, sig_r=1.00, R=2 0.50838 0.49693
sig_y=9.00, sig_r=1.00, R=3 0.34319 0.33197
sig_y=9.00, sig_r=1.00, R=4 0.24854 0.24923
sig_y=9.00, sig_r=1.00, R=5 0.19433 0.19951
sig_y=9.00, sig_r=1.00, R=6 0.16579 0.16632
sig_y=9.00, sig_r=1.00, R=7 0.14144 0.14261
sig_y=9.00, sig_r=1.00, R=8 0.1247 0.12481
sig_y=9.00, sig_r=1.00, R=9 0.11121 0.11096
sig_y=9.00, sig_r=1.00, R=10 0.10019 0.099877
sig_y=9.00, sig_r=2.00, R=1 3.7617 3.8118
sig_y=9.00, sig_r=2.00, R=2 1.9671 1.9518
sig_y=9.00, sig_r=2.00, R=3 1.267 1.3117
sig_y=9.00, sig_r=2.00, R=4 0.98119 0.9878
sig_y=9.00, sig_r=2.00, R=5 0.79892 0.79218
sig_y=9.00, sig_r=2.00, R=6 0.66863 0.66122
sig_y=9.00, sig_r=2.00, R=7 0.56123 0.56743
sig_y=9.00, sig_r=2.00, R=8 0.50111 0.49693
sig_y=9.00, sig_r=2.00, R=9 0.43456 0.44202
sig_y=9.00, sig_r=2.00, R=10 0.39609 0.39803
sig_y=9.00, sig_r=3.00, R=1 8.2687 8.1
sig_y=9.00, sig_r=3.00, R=2 4.2252 4.2632
sig_y=9.00, sig_r=3.00, R=3 2.8739 2.8929
sig_y=9.00, sig_r=3.00, R=4 2.1975 2.1892
sig_y=9.00, sig_r=3.00, R=5 1.7419 1.7609
sig_y=9.00, sig_r=3.00, R=6 1.4802 1.4727
sig_y=9.00, sig_r=3.00, R=7 1.2544 1.2656
sig_y=9.00, sig_r=3.00, R=8 1.1242 1.1096
sig_y=9.00, sig_r=3.00, R=9 0.97638 0.9878
sig_y=9.00, sig_r=3.00, R=10 0.88488 0.89011
sig_y=9.00, sig_r=4.00, R=1 13.268 13.361
sig_y=9.00, sig_r=4.00, R=2 7.4018 7.2809
sig_y=9.00, sig_r=4.00, R=3 4.8333 5.0039
sig_y=9.00, sig_r=4.00, R=4 3.8888 3.8118
sig_y=9.00, sig_r=4.00, R=5 3.0864 3.0784
sig_y=9.00, sig_r=4.00, R=6 2.495 2.5817
sig_y=9.00, sig_r=4.00, R=7 2.2106 2.223
sig_y=9.00, sig_r=4.00, R=8 1.9561 1.9518
sig_y=9.00, sig_r=4.00, R=9 1.7066 1.7396
sig_y=9.00, sig_r=4.00, R=10 1.5938 1.569
sig_y=9.00, sig_r=5.00, R=1 18.979 19.104
sig_y=9.00, sig_r=5.00, R=2 11.097 10.829
sig_y=9.00, sig_r=5.00, R=3 7.6591 7.556
sig_y=9.00, sig_r=5.00, R=4 5.84 5.8023
sig_y=9.00, sig_r=5.00, R=5 4.6064 4.7093
sig_y=9.00, sig_r=5.00, R=6 3.9254 3.9628
sig_y=9.00, sig_r=5.00, R=7 3.3993 3.4206
sig_y=9.00, sig_r=5.00, R=8 2.9656 3.0089
sig_y=9.00, sig_r=5.00, R=9 2.6907 2.6857
sig_y=9.00, sig_r=5.00, R=10 2.4599 2.4251
sig_y=9.00, sig_r=6.00, R=1 24.461 24.923
sig_y=9.00, sig_r=6.00, R=2 14.425 14.727
sig_y=9.00, sig_r=6.00, R=3 10.06 10.452
sig_y=9.00, sig_r=6.00, R=4 8.0119 8.1
sig_y=9.00, sig_r=6.00, R=5 6.7324 6.6122
sig_y=9.00, sig_r=6.00, R=6 5.4849 5.5862
sig_y=9.00, sig_r=6.00, R=7 4.8375 4.8358
sig_y=9.00, sig_r=6.00, R=8 4.2219 4.2632
sig_y=9.00, sig_r=6.00, R=9 3.7952 3.8118
sig_y=9.00, sig_r=6.00, R=10 3.4721 3.4468
sig_y=9.00, sig_r=7.00, R=1 30.228 30.531
sig_y=9.00, sig_r=7.00, R=2 19.852 18.81
sig_y=9.00, sig_r=7.00, R=3 13.607 13.592
sig_y=9.00, sig_r=7.00, R=4 10.594 10.641
sig_y=9.00, sig_r=7.00, R=5 8.9434 8.7423
sig_y=9.00, sig_r=7.00, R=6 7.3923 7.4187
sig_y=9.00, sig_r=7.00, R=7 6.4269 6.4432
sig_y=9.00, sig_r=7.00, R=8 5.6271 5.6944
sig_y=9.00, sig_r=7.00, R=9 5.0683 5.1015
sig_y=9.00, sig_r=7.00, R=10 4.6031 4.6205
sig_y=9.00, sig_r=8.00, R=1 36.243 35.752
sig_y=9.00, sig_r=8.00, R=2 23.321 22.938
sig_y=9.00, sig_r=8.00, R=3 17.067 16.886
sig_y=9.00, sig_r=8.00, R=4 13.371 13.361
sig_y=9.00, sig_r=8.00, R=5 10.979 11.053
sig_y=9.00, sig_r=8.00, R=6 9.3827 9.4255
sig_y=9.00, sig_r=8.00, R=7 8.2711 8.2155
sig_y=9.00, sig_r=8.00, R=8 7.2643 7.2809
sig_y=9.00, sig_r=8.00, R=9 6.3549 6.5372
sig_y=9.00, sig_r=8.00, R=10 6.0795 5.9314
sig_y=9.00, sig_r=9.00, R=1 39.794 40.5
sig_y=9.00, sig_r=9.00, R=2 26.969 27
sig_y=9.00, sig_r=9.00, R=3 20.464 20.25
sig_y=9.00, sig_r=9.00, R=4 15.836 16.2
sig_y=9.00, sig_r=9.00, R=5 13.271 13.5
sig_y=9.00, sig_r=9.00, R=6 11.564 11.571
sig_y=9.00, sig_r=9.00, R=7 10.235 10.125
sig_y=9.00, sig_r=9.00, R=8 9.0913 9
sig_y=9.00, sig_r=9.00, R=9 8.1888 8.1
sig_y=9.00, sig_r=9.00, R=10 7.38 7.3636
sig_y=9.00, sig_r=10.00, R=1 45.69 44.751
sig_y=9.00, sig_r=10.00, R=2 30.854 30.916
sig_y=9.00, sig_r=10.00, R=3 23.657 23.615
sig_y=9.00, sig_r=10.00, R=4 19.409 19.104
sig_y=9.00, sig_r=10.00, R=5 16.344 16.04
sig_y=9.00, sig_r=10.00, R=6 13.894 13.823
sig_y=9.00, sig_r=10.00, R=7 12.241 12.144
sig_y=9.00, sig_r=10.00, R=8 10.784 10.829
sig_y=9.00, sig_r=10.00, R=9 9.7553 9.7708
sig_y=9.00, sig_r=10.00, R=10 8.9367 8.9011
sig_y=10.00, sig_r=1.00, R=1 0.96613 0.9901
sig_y=10.00, sig_r=1.00, R=2 0.4983 0.49751
sig_y=10.00, sig_r=1.00, R=3 0.34208 0.33223
sig_y=10.00, sig_r=1.00, R=4 0.25403 0.24938
sig_y=10.00, sig_r=1.00, R=5 0.19874 0.1996
sig_y=10.00, sig_r=1.00, R=6 0.16418 0.16639
sig_y=10.00, sig_r=1.00, R=7 0.14357 0.14265
sig_y=10.00, sig_r=1.00, R=8 0.12409 0.12484
sig_y=10.00, sig_r=1.00, R=9 0.10821 0.11099
sig_y=10.00, sig_r=1.00, R=10 0.10147 0.0999
sig_y=10.00, sig_r=2.00, R=1 3.9121 3.8462
sig_y=10.00, sig_r=2.00, R=2 1.993 1.9608
sig_y=10.00, sig_r=2.00, R=3 1.3266 1.3158
sig_y=10.00, sig_r=2.00, R=4 0.9917 0.9901
sig_y=10.00, sig_r=2.00, R=5 0.79655 0.79365
sig_y=10.00, sig_r=2.00, R=6 0.67411 0.66225
sig_y=10.00, sig_r=2.00, R=7 0.55639 0.56818
sig_y=10.00, sig_r=2.00, R=8 0.48945 0.49751
sig_y=10.00, sig_r=2.00, R=9 0.4485 0.44248
sig_y=10.00, sig_r=2.00, R=10 0.39466 0.39841
sig_y=10.00, sig_r=3.00, R=1 8.3141 8.2569
sig_y=10.00, sig_r=3.00, R=2 4.3971 4.3062
sig_y=10.00, sig_r=3.00, R=3 2.9155 2.9126
sig_y=10.00, sig_r=3.00, R=4 2.1742 2.2005
sig_y=10.00, sig_r=3.00, R=5 1.7946 1.7682
sig_y=10.00, sig_r=3.00, R=6 1.4745 1.4778
sig_y=10.00, sig_r=3.00, R=7 1.2685 1.2694
sig_y=10.00, sig_r=3.00, R=8 1.0974 1.1125
sig_y=10.00, sig_r=3.00, R=9 1.0153 0.9901
sig_y=10.00, sig_r=3.00, R=10 0.88181 0.89197
sig_y=10.00, sig_r=4.00, R=1 13.718 13.793
sig_y=10.00, sig_r=4.00, R=2 7.1867 7.4074
sig_y=10.00, sig_r=4.00, R=3 4.9876 5.0633
sig_y=10.00, sig_r=4.00, R=4 3.8597 3.8462
sig_y=10.00, sig_r=4.00, R=5 3.0966 3.1008
sig_y=10.00, sig_r=4.00, R=6 2.5165 2.5974
sig_y=10.00, sig_r=4.00, R=7 2.2861 2.2346
sig_y=10.00, sig_r=4.00, R=8 2.0001 1.9608
sig_y=10.00, sig_r=4.00, R=9 1.7509 1.7467
sig_y=10.00, sig_r=4.00, R=10 1.5782 1.5748
sig_y=10.00, sig_r=5.00, R=1 20.046 20
sig_y=10.00, sig_r=5.00, R=2 11.141 11.111
sig_y=10.00, sig_r=5.00, R=3 7.6955 7.6923
sig_y=10.00, sig_r=5.00, R=4 5.7821 5.8824
sig_y=10.00, sig_r=5.00, R=5 4.7723 4.7619
sig_y=10.00, sig_r=5.00, R=6 4.0637 4
sig_y=10.00, sig_r=5.00, R=7 3.4625 3.4483
sig_y=10.00, sig_r=5.00, R=8 3.0172 3.0303
sig_y=10.00, sig_r=5.00, R=9 2.7575 2.7027
sig_y=10.00, sig_r=5.00, R=10 2.435 2.439
sig_y=10.00, sig_r=6.00, R=1 27.187 26.471
sig_y=10.00, sig_r=6.00, R=2 14.94 15.254
sig_y=10.00, sig_r=6.00, R=3 10.672 10.714
sig_y=10.00, sig_r=6.00, R=4 8.1827 8.2569
sig_y=10.00, sig_r=6.00, R=5 6.67 6.7164
sig_y=10.00, sig_r=6.00, R=6 5.6477 5.6604
sig_y=10.00, sig_r=6.00, R=7 5.029 4.8913
sig_y=10.00, sig_r=6.00, R=8 4.4786 4.3062
sig_y=10.00, sig_r=6.00, R=9 3.7608 3.8462
sig_y=10.00, sig_r=6.00, R=10 3.5733 3.4749
sig_y=10.00, sig_r=7.00, R=1 32.493 32.886
sig_y=10.00, sig_r=7.00, R=2 19.427 19.679
sig_y=10.00, sig_r=7.00, R=3 13.915 14.04
sig_y=10.00, sig_r=7.00, R=4 10.845 10.913
sig_y=10.00, sig_r=7.00, R=5 8.8273 8.9253
sig_y=10.00, sig_r=7.00, R=6 7.6003 7.5501
sig_y=10.00, sig_r=7.00, R=7 6.4886 6.5421
sig_y=10.00, sig_r=7.00, R=8 5.7796 5.7715
sig_y=10.00, sig_r=7.00, R=9 5.1281 5.1633
sig_y=10.00, sig_r=7.00, R=10 4.6706 4.6711
sig_y=10.00, sig_r=8.00, R=1 38.508 39.024
sig_y=10.00, sig_r=8.00, R=2 24.39 24.242
sig_y=10.00, sig_r=8.00, R=3 17.695 17.582
sig_y=10.00, sig_r=8.00, R=4 13.985 13.793
sig_y=10.00, sig_r=8.00, R=5 11.232 11.348
sig_y=10.00, sig_r=8.00, R=6 9.5094 9.6386
sig_y=10.00, sig_r=8.00, R=7 8.5685 8.377
sig_y=10.00, sig_r=8.00, R=8 7.3735 7.4074
sig_y=10.00, sig_r=8.00, R=9 6.599 6.639
sig_y=10.00, sig_r=8.00, R=10 5.8767 6.015
sig_y=10.00, sig_r=9.00, R=1 44.059 44.751
sig_y=10.00, sig_r=9.00, R=2 28.776 28.826
sig_y=10.00, sig_r=9.00, R=3 20.89 21.26
sig_y=10.00, sig_r=9.00, R=4 16.827 16.84
sig_y=10.00, sig_r=9.00, R=5 14.066 13.941
sig_y=10.00, sig_r=9.00, R=6 11.83 11.894
sig_y=10.00, sig_r=9.00, R=7 10.413 10.371
sig_y=10.00, sig_r=9.00, R=8 9.3419 9.1941
sig_y=10.00, sig_r=9.00, R=9 8.3575 8.2569
sig_y=10.00, sig_r=9.00, R=10 7.6735 7.4931
sig_y=10.00, sig_r=10.00, R=1 49.767 50
sig_y=10.00, sig_r=10.00, R=2 33.636 33.333
sig_y=10.00, sig_r=10.00, R=3 25.221 25
sig_y=10.00, sig_r=10.00, R=4 19.984 20
sig_y=10.00, sig_r=10.00, R=5 16.695 16.667
sig_y=10.00, sig_r=10.00, R=6 14.247 14.286
sig_y=10.00, sig_r=10.00, R=7 12.64 12.5
sig_y=10.00, sig_r=10.00, R=8 11.092 11.111
sig_y=10.00, sig_r=10.00, R=9 10.193 10
sig_y=10.00, sig_r=10.00, R=10 9.2288 9.0909
