Mercurial > octave-nkf
view scripts/statistics/distributions/betacdf.m @ 14138:72c96de7a403 stable
maint: update copyright notices for 2012
author | John W. Eaton <jwe@octave.org> |
---|---|
date | Mon, 02 Jan 2012 14:25:41 -0500 |
parents | 19b9f17d22af |
children | f3d52523cde1 |
line wrap: on
line source
## 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 ## <http://www.gnu.org/licenses/>. ## -*- texinfo -*- ## @deftypefn {Function File} {} betacdf (@var{x}, @var{a}, @var{b}) ## For each element of @var{x}, compute the cumulative distribution function ## (CDF) at @var{x} of the Beta distribution with parameters @var{a} and ## @var{b}. ## @end deftypefn ## Author: KH <Kurt.Hornik@wu-wien.ac.at> ## Description: CDF of the Beta distribution function cdf = betacdf (x, a, b) if (nargin != 3) print_usage (); endif if (!isscalar (a) || !isscalar (b)) [retval, x, a, b] = common_size (x, a, b); if (retval > 0) error ("betacdf: X, A, and B must be of common size or scalars"); endif endif if (iscomplex (x) || iscomplex (a) || iscomplex (b)) error ("betacdf: X, A, and B must not be complex"); endif if (isa (x, "single") || isa (a, "single") || isa (b, "single")) cdf = zeros (size (x), "single"); else cdf = zeros (size (x)); endif k = isnan (x) | !(a > 0) | !(b > 0); cdf(k) = NaN; k = (x >= 1) & (a > 0) & (b > 0); cdf(k) = 1; k = (x > 0) & (x < 1) & (a > 0) & (b > 0); if (isscalar (a) && isscalar (b)) cdf(k) = betainc (x(k), a, b); else cdf(k) = betainc (x(k), a(k), b(k)); endif endfunction %!shared x,y %! x = [-1 0 0.5 1 2]; %! y = [0 0 0.75 1 1]; %!assert(betacdf (x, ones(1,5), 2*ones(1,5)), y); %!assert(betacdf (x, 1, 2*ones(1,5)), y); %!assert(betacdf (x, ones(1,5), 2), y); %!assert(betacdf (x, [0 1 NaN 1 1], 2), [NaN 0 NaN 1 1]); %!assert(betacdf (x, 1, 2*[0 1 NaN 1 1]), [NaN 0 NaN 1 1]); %!assert(betacdf ([x(1:2) NaN x(4:5)], 1, 2), [y(1:2) NaN y(4:5)]); %% Test class of input preserved %!assert(betacdf ([x, NaN], 1, 2), [y, NaN]); %!assert(betacdf (single([x, NaN]), 1, 2), single([y, NaN])); %!assert(betacdf ([x, NaN], single(1), 2), single([y, NaN])); %!assert(betacdf ([x, NaN], 1, single(2)), single([y, NaN])); %% Test input validation %!error betacdf () %!error betacdf (1) %!error betacdf (1,2) %!error betacdf (1,2,3,4) %!error betacdf (ones(3),ones(2),ones(2)) %!error betacdf (ones(2),ones(3),ones(2)) %!error betacdf (ones(2),ones(2),ones(3))