function zipf_sample_test ( ) %*****************************************************************************80 % %% ZIPF_SAMPLE_TEST tests ZIPF_MEAN, ZIPF_SAMPLE, ZIPF_VARIANCE. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 08 March 2016 % % Author: % % John Burkardt % nsample = 1000; seed = 123456789; fprintf ( 1, '\n' ); fprintf ( 1, 'ZIPF_SAMPLE_TEST\n' ); fprintf ( 1, ' ZIPF_MEAN returns the mean of the Zipf distribution.\n' ); fprintf ( 1, ' ZIPF_SAMPLE samples the Zipf distribution.\n' ); fprintf ( 1, ' ZIPF_VARIANCE returns the variance of the Zipf distribution.\n' ); a = 4.0; check = zipf_check ( a ); if ( ~check ); fprintf ( 1, '\n' ); fprintf ( 1, 'ZIPF_SAMPLE_TEST - Fatal error!\n' ); fprintf ( 1, ' The parameters are not legal.\n' ); return end mean = zipf_mean ( a ); variance = zipf_variance ( a ); fprintf ( 1, '\n' ); fprintf ( 1, ' PDF parameter A = %14f\n', a ); fprintf ( 1, ' PDF mean = %14f\n', mean ); fprintf ( 1, ' PDF variance = %14f\n', variance ); for i = 1 : nsample [ x(i), seed ] = zipf_sample ( a, seed ); end mean = i4vec_mean ( nsample, x ); variance = i4vec_variance ( nsample, x ); xmax = max ( x(1:nsample) ); xmin = min ( x(1:nsample) ); fprintf ( 1, '\n' ); fprintf ( 1, ' Sample size = %6d\n', nsample ); fprintf ( 1, ' Sample mean = %14f\n', mean ); fprintf ( 1, ' Sample variance = %14f\n', variance ); fprintf ( 1, ' Sample maximum = %6d\n', xmax ); fprintf ( 1, ' Sample minimum = %6d\n', xmin ); return end