X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fm%2Fstatistics%2Fdistributions%2Fempirical_inv.m;fp=octave_packages%2Fm%2Fstatistics%2Fdistributions%2Fempirical_inv.m;h=a9937fb8b5b13d07bc5d964b63ecdb628ff99684;hp=0000000000000000000000000000000000000000;hb=1c0469ada9531828709108a4882a751d2816994a;hpb=63de9f36673d49121015e3695f2c336ea92bc278 diff --git a/octave_packages/m/statistics/distributions/empirical_inv.m b/octave_packages/m/statistics/distributions/empirical_inv.m new file mode 100644 index 0000000..a9937fb --- /dev/null +++ b/octave_packages/m/statistics/distributions/empirical_inv.m @@ -0,0 +1,61 @@ +## Copyright (C) 2012 Rik Wehbring +## Copyright (C) 1996-2012 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} {} empirical_inv (@var{x}, @var{data}) +## For each element of @var{x}, compute the quantile (the inverse of the +## CDF) at @var{x} of the empirical distribution obtained from the +## univariate sample @var{data}. +## @end deftypefn + +## Author: KH +## Description: Quantile function of the empirical distribution + +function inv = empirical_inv (x, data) + + if (nargin != 2) + print_usage (); + endif + + if (! isvector (data)) + error ("empirical_inv: DATA must be a vector"); + endif + + inv = discrete_inv (x, data, ones (size (data))); + +endfunction + + +%!shared x,v,y +%! x = [-1 0 0.1 0.5 1 2]; +%! v = 0.1:0.2:1.9; +%! y = [NaN v(1) v(1) v(end/2) v(end) NaN]; +%!assert(empirical_inv (x, v), y, eps); + +%% Test class of input preserved +%!assert(empirical_inv ([x, NaN], v), [y, NaN], eps); +%!assert(empirical_inv (single([x, NaN]), v), single([y, NaN]), eps); +%!assert(empirical_inv ([x, NaN], single(v)), single([y, NaN]), eps); + +%% Test input validation +%!error empirical_inv () +%!error empirical_inv (1) +%!error empirical_inv (1,2,3) +%!error empirical_inv (1, ones(2)) +