function [ n_data, a, b, x, fx ] = binomial_cdf_values ( n_data ) %% BINOMIAL_CDF_VALUES returns some values of the binomial CDF. % % Discussion: % % CDF(X)(A,B) is the probability of at most X successes in A trials, % given that the probability of success on a single trial is B. % % In Mathematica, the function can be evaluated by: % % Needs["Statistics`DiscreteDistributions`] % dist = BinomialDistribution [ n, p ] % CDF [ dist, x ] % % Modified: % % 15 August 2004 % % Author: % % John Burkardt % % Reference: % % Milton Abramowitz and Irene Stegun, % Handbook of Mathematical Functions, % US Department of Commerce, 1964. % % Stephen Wolfram, % The Mathematica Book, % Fourth Edition, % Wolfram Media / Cambridge University Press, 1999. % % Daniel Zwillinger, % CRC Standard Mathematical Tables and Formulae, % 30th Edition, CRC Press, 1996, pages 651-652. % % Parameters: % % Input/output, integer N_DATA. The user sets N_DATA to 0 before the % first call. On each call, the routine increments N_DATA by 1, and % returns the corresponding data; when there is no more data, the % output value of N_DATA will be 0 again. % % Output, integer A, a parameter of the function. % % Output, real B, a parameter of the function. % % Output, integer X, the argument of the function. % % Output, real FX, the value of the function. % n_max = 17; a_vec = [ ... 2, 2, 2, 2, ... 2, 4, 4, 4, ... 4, 10, 10, 10, ... 10, 10, 10, 10, ... 10 ]; b_vec = [ ... 0.05E+00, ... 0.05E+00, ... 0.05E+00, ... 0.50E+00, ... 0.50E+00, ... 0.25E+00, ... 0.25E+00, ... 0.25E+00, ... 0.25E+00, ... 0.05E+00, ... 0.10E+00, ... 0.15E+00, ... 0.20E+00, ... 0.25E+00, ... 0.30E+00, ... 0.40E+00, ... 0.50E+00 ]; fx_vec = [ ... 0.9025000000000000E+00, ... 0.9975000000000000E+00, ... 0.1000000000000000E+01, ... 0.2500000000000000E+00, ... 0.7500000000000000E+00, ... 0.3164062500000000E+00, ... 0.7382812500000000E+00, ... 0.9492187500000000E+00, ... 0.9960937500000000E+00, ... 0.9999363101685547E+00, ... 0.9983650626000000E+00, ... 0.9901259090013672E+00, ... 0.9672065024000000E+00, ... 0.9218730926513672E+00, ... 0.8497316674000000E+00, ... 0.6331032576000000E+00, ... 0.3769531250000000E+00 ]; x_vec = [ ... 0, 1, 2, 0, ... 1, 0, 1, 2, ... 3, 4, 4, 4, ... 4, 4, 4, 4, ... 4 ]; if ( n_data < 0 ) n_data = 0; end n_data = n_data + 1; if ( n_max < n_data ) n_data = 0; a = 0; b = 0.0; x = 0; fx = 0.0; else a = a_vec(n_data); b = b_vec(n_data); x = x_vec(n_data); fx = fx_vec(n_data); end