## Copyright (C) 1996, 1997 Kurt Hornik ## ## This program 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 2, or (at your option) ## any later version. ## ## This program 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 this file. If not, write to the Free Software Foundation, ## 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. ## usage: discrete_cdf (X, V, P) ## ## For each element of X, compute the cumulative distribution function ## (CDF) at X of a univariate discrete distribution which assumes the ## values in V with probabilities P. ## Author: KH <Kurt.Hornik@ci.tuwien.ac.at> ## Description: CDF of a discrete distribution function cdf = discrete_cdf (X, V, P) if (nargin != 3) usage ("discrete_cdf (X, V, P)"); endif [r, c] = size (X); if (! is_vector (V)) error ("discrete_cdf: V must be a vector"); elseif (! is_vector (P) || (length (P) != length (V))) error ("discrete_cdf: P must be a vector with length (V) elements"); elseif (! (all (P >= 0) && any (P))) error ("discrete_cdf: P must be a nonzero, nonnegative vector"); endif n = r * c; m = length (V); X = reshape (X, n, 1); V = reshape (V, 1, m); P = reshape (P / sum (P), m, 1); cdf = zeros (n, 1); k = find (isnan (X)); if any (k) cdf (k) = NaN * ones (length (k), 1); endif k = find (!isnan (X)); if any (k) n = length (k); cdf (k) = ((X(k) * ones (1, m)) >= (ones (n, 1) * V)) * P; endif cdf = reshape (cdf, r, c); endfunction

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