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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_inv (x, lambda)
- ##
- ## For each element of x, compute the quantile (the inverse of the CDF)
- ## at x of the exponential distribution with parameter lambda.
-
- ## Author: KH <Kurt.Hornik@ci.tuwien.ac.at>
- ## Description: Quantile function of the exponential distribution
-
- function inv = exponential_inv (x, l)
-
- if (nargin != 2)
- usage ("exponential_inv (x, lambda)");
- endif
-
- [retval, x, l] = common_size (x, l);
- if (retval > 0)
- error (["exponential_inv: ", ...
- "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);
- inv = zeros (1, s);
-
- k = find (!(l > 0) | (x < 0) | (x > 1) | isnan (x));
- if any (k)
- inv(k) = NaN * ones (1, length (k));
- endif
-
- k = find ((x == 1) & (l > 0));
- if any (k)
- inv(k) = Inf * ones (1, length (k));
- endif
-
- k = find ((x > 0) & (x < 1) & (l > 0));
- if any (k)
- inv(k) = - log (1 - x(k)) ./ l(k);
- endif
-
- inv = reshape (inv, r, c);
-
- endfunction
-