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annotate scripts/statistics/distributions/poisson_cdf.m @ 5307:4c8a2e4e0717

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[project @ 2005-04-26 19:24:27 by jwe]
author jwe
date Tue, 26 Apr 2005 19:24:47 +0000
parents 265d566cc770
children
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1 ## Copyright (C) 1995, 1996, 1997 Kurt Hornik
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation; either version 2, or (at your option)
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8 ## any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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13 ## General Public License for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, write to the Free
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17 ## Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
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18 ## 02110-1301, USA.
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19
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20 ## -*- texinfo -*-
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21 ## @deftypefn {Function File} {} poisson_cdf (@var{x}, @var{lambda})
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22 ## For each element of @var{x}, compute the cumulative distribution
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23 ## function (CDF) at @var{x} of the Poisson distribution with parameter
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24 ## lambda.
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25 ## @end deftypefn
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26
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27 ## Author: KH <Kurt.Hornik@ci.tuwien.ac.at>
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28 ## Description: CDF of the Poisson distribution
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29
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30 function cdf = poisson_cdf (x, l)
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31
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32 if (nargin != 2)
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33 usage ("poisson_cdf (x, lambda)");
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34 endif
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35
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36 if (!isscalar (l))
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37 [retval, x, l] = common_size (x, l);
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38 if (retval > 0)
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39 error ("poisson_cdf: x and lambda must be of common size or scalar");
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40 endif
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41 endif
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42
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43 cdf = zeros (size (x));
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44
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45 k = find (isnan (x) | !(l > 0));
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46 if (any (k))
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47 cdf(k) = NaN;
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48 endif
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49
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50 k = find ((x == Inf) & (l > 0));
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51 if (any (k))
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52 cdf(k) = 1;
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53 endif
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54
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55 k = find ((x >= 0) & (x < Inf) & (l > 0));
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56 if (any (k))
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57 if (isscalar (l))
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58 cdf(k) = 1 - gammainc (l, floor (x(k)) + 1);
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59 else
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60 cdf(k) = 1 - gammainc (l(k), floor (x(k)) + 1);
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61 endif
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62 endif
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63
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64 endfunction