X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fm%2Fstatistics%2Fdistributions%2Fgeocdf.m;fp=octave_packages%2Fm%2Fstatistics%2Fdistributions%2Fgeocdf.m;h=b9c6902b08375b7ec8bda32c3fcc1a5dfe215b61;hp=0000000000000000000000000000000000000000;hb=1c0469ada9531828709108a4882a751d2816994a;hpb=63de9f36673d49121015e3695f2c336ea92bc278 diff --git a/octave_packages/m/statistics/distributions/geocdf.m b/octave_packages/m/statistics/distributions/geocdf.m new file mode 100644 index 0000000..b9c6902 --- /dev/null +++ b/octave_packages/m/statistics/distributions/geocdf.m @@ -0,0 +1,89 @@ +## Copyright (C) 2012 Rik Wehbring +## Copyright (C) 1995-2012 Kurt Hornik +## +## This file is part of Octave. +## +## Octave is free software; you can redistribute it and/or modify it +## under the terms of the GNU General Public License as published by +## the Free Software Foundation; either version 3 of the License, or (at +## your option) any later version. +## +## Octave is distributed in the hope that it will be useful, but +## WITHOUT ANY WARRANTY; without even the implied warranty of +## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +## General Public License for more details. +## +## You should have received a copy of the GNU General Public License +## along with Octave; see the file COPYING. If not, see +## . + +## -*- texinfo -*- +## @deftypefn {Function File} {} geocdf (@var{x}, @var{p}) +## For each element of @var{x}, compute the cumulative distribution function +## (CDF) at @var{x} of the geometric distribution with parameter @var{p}. +## @end deftypefn + +## Author: KH +## Description: CDF of the geometric distribution + +function cdf = geocdf (x, p) + + if (nargin != 2) + print_usage (); + endif + + if (!isscalar (p)) + [retval, x, p] = common_size (x, p); + if (retval > 0) + error ("geocdf: X and P must be of common size or scalars"); + endif + endif + + if (iscomplex (x) || iscomplex (p)) + error ("geocdf: X and P must not be complex"); + endif + + if (isa (x, "single") || isa (p, "single")) + cdf = zeros (size (x), "single"); + else + cdf = zeros (size (x)); + endif + + k = isnan (x) | !(p >= 0) | !(p <= 1); + cdf(k) = NaN; + + k = (x == Inf) & (p >= 0) & (p <= 1); + cdf(k) = 1; + + k = (x >= 0) & (x < Inf) & (x == fix (x)) & (p > 0) & (p <= 1); + if (isscalar (p)) + cdf(k) = 1 - ((1 - p) .^ (x(k) + 1)); + else + cdf(k) = 1 - ((1 - p(k)) .^ (x(k) + 1)); + endif + +endfunction + + +%!shared x,y +%! x = [-1 0 1 Inf]; +%! y = [0 0.5 0.75 1]; +%!assert(geocdf (x, 0.5*ones(1,4)), y); +%!assert(geocdf (x, 0.5), y); +%!assert(geocdf (x, 0.5*[-1 NaN 4 1]), [NaN NaN NaN y(4)]); +%!assert(geocdf ([x(1:2) NaN x(4)], 0.5), [y(1:2) NaN y(4)]); + +%% Test class of input preserved +%!assert(geocdf ([x, NaN], 0.5), [y, NaN]); +%!assert(geocdf (single([x, NaN]), 0.5), single([y, NaN])); +%!assert(geocdf ([x, NaN], single(0.5)), single([y, NaN])); + +%% Test input validation +%!error geocdf () +%!error geocdf (1) +%!error geocdf (1,2,3) +%!error geocdf (ones(3),ones(2)) +%!error geocdf (ones(2),ones(3)) +%!error geocdf (i, 2) +%!error geocdf (2, i) +