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- ## Copyright (C) 1995, 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: exponential_cdf (x, lambda)
- ##
- ## For each element of x, compute the cumulative distribution function
- ## (CDF) at x of the exponential distribution with parameter lambda.
- ##
- ## The arguments can be of common size or scalar.
-
- ## Author: KH <Kurt.Hornik@ci.tuwien.ac.at>
- ## Description: CDF of the exponential distribution
-
- function cdf = exponential_cdf (x, l)
-
- if (nargin != 2)
- usage ("exponential_cdf (x, lambda)");
- endif
-
- [retval, x, l] = common_size (x, l);
- if (retval > 0)
- error (["exponential_cdf: ",
- "x and lambda must be of common size or scalar"]);
- endif
-
- [r, c] = size (x);
- s = r * c;
- x = reshape (x, 1, s);
- l = reshape (l, 1, s);
- cdf = zeros (1, s);
-
- k = find (isnan (x) | !(l > 0));
- if any (k)
- cdf(k) = NaN * ones (1, length (k));
- endif
-
- k = find ((x == Inf) & (l > 0));
- if any (k)
- cdf(k) = ones (1, length (k));
- endif
-
- k = find ((x > 0) & (x < Inf) & (l > 0));
- if any (k)
- cdf (k) = 1 - exp (- l(k) .* x(k));
- endif
-
- cdf = reshape (cdf, r, c);
-
- endfunction
-