Mercurial > octave-nkf
view scripts/statistics/distributions/empirical_pdf.m @ 20644:4e307c55a2b5
Use isempty () rather than any () for faster code in inverse statistical distributions.
betainv.m, binoinv.m, gaminv.m, poissinv.m: Use '! isempty (k)' rather than
'any (k)' for faster code.
author | Rik <rik@octave.org> |
---|---|
date | Sun, 11 Oct 2015 21:09:41 -0700 |
parents | d9341b422488 |
children |
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## Copyright (C) 2012 Rik Wehbring ## Copyright (C) 1996-2015 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} {} empirical_pdf (@var{x}, @var{data}) ## For each element of @var{x}, compute the probability density function (PDF) ## at @var{x} of the empirical distribution obtained from the ## univariate sample @var{data}. ## @end deftypefn ## Author: KH <Kurt.Hornik@wu-wien.ac.at> ## Description: PDF of the empirical distribution function pdf = empirical_pdf (x, data) if (nargin != 2) print_usage (); endif if (! isvector (data)) error ("empirical_pdf: DATA must be a vector"); endif uniq_vals = unique (data); if (numel (data) != numel (uniq_vals)) ## Handle ties, multiple elements with same value p = histc (data, uniq_vals); data = uniq_vals; else p = ones (size (data)); endif pdf = discrete_pdf (x, data, p); endfunction %!shared x,v,y %! x = [-1 0.1 1.1 1.9 3]; %! v = 0.1:0.2:1.9; %! y = [0 0.1 0.1 0.1 0]; %!assert (empirical_pdf (x, v), y) ## Test class of input preserved %!assert (empirical_pdf (single (x), v), single (y)) %!assert (empirical_pdf (x, single (v)), single (y)) ## Test distribution with ties %!assert (empirical_pdf (2, [1 2 3 2]), 0.5) ## Test input validation %!error empirical_pdf () %!error empirical_pdf (1) %!error empirical_pdf (1,2,3) %!error empirical_inv (1, ones (2))