annotate scripts/statistics/distributions/poissinv.m @ 11523:fd0a3ac60b0e

update copyright notices
author John W. Eaton <jwe@octave.org>
date Fri, 14 Jan 2011 05:47:45 -0500
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11523
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John W. Eaton <jwe@octave.org>
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1 ## Copyright (C) 1995-2011 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 3 of the License, or (at
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8 ## your option) 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, see
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {} poissinv (@var{x}, @var{lambda})
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21 ## For each component of @var{x}, compute the quantile (the inverse of
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22 ## the CDF) at @var{x} of the Poisson distribution with parameter
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23 ## @var{lambda}.
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24 ## @end deftypefn
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25
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26 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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27 ## Description: Quantile function of the Poisson distribution
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28
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29 function inv = poissinv (x, lambda)
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30
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31 if (nargin != 2)
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32 print_usage ();
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33 endif
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34
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35 if (!isscalar (lambda))
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36 [retval, x, lambda] = common_size (x, lambda);
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37 if (retval > 0)
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38 error ("poissinv: X and LAMBDA must be of common size or scalar");
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39 endif
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40 endif
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41
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42 inv = zeros (size (x));
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43
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44 k = find ((x < 0) | (x > 1) | isnan (x) | !(lambda > 0));
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45 if (any (k))
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46 inv(k) = NaN;
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47 endif
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48
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49 k = find ((x == 1) & (lambda > 0));
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50 if (any (k))
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51 inv(k) = Inf;
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52 endif
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53
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54 k = find ((x > 0) & (x < 1) & (lambda > 0));
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55 if (any (k))
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56 if (isscalar (lambda))
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57 cdf = exp (-lambda) * ones (size (k));
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58 else
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59 cdf = exp (-lambda(k));
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60 endif
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61 while (1)
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62 m = find (cdf < x(k));
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63 if (any (m))
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64 inv(k(m)) = inv(k(m)) + 1;
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65 if (isscalar (lambda))
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66 cdf(m) = cdf(m) + poisspdf (inv(k(m)), lambda);
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67 else
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68 cdf(m) = cdf(m) + poisspdf (inv(k(m)), lambda(k(m)));
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69 endif
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70 else
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71 break;
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72 endif
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73 endwhile
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74 endif
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75
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76 endfunction