annotate scripts/statistics/distributions/chi2rnd.m @ 7016:93c65f2a5668

[project @ 2007-10-12 06:40:56 by jwe]
author jwe
date Fri, 12 Oct 2007 06:41:26 +0000
parents 6304d9ea0a30
children a1dbe9d80eee
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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 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} {} chi2rnd (@var{n}, @var{r}, @var{c})
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21 ## @deftypefnx {Function File} {} chi2rnd (@var{n}, @var{sz})
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22 ## Return an @var{r} by @var{c} or a @code{size (@var{sz})} matrix of
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23 ## random samples from the chisquare distribution with @var{n} degrees
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24 ## of freedom. @var{n} must be a scalar or of size @var{r} by @var{c}.
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25 ##
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26 ## If @var{r} and @var{c} are omitted, the size of the result matrix is
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27 ## the size of @var{n}.
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28 ## @end deftypefn
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29
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30 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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31 ## Description: Random deviates from the chi-square distribution
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32
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33 function rnd = chi2rnd (n, r, c)
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34
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35 if (nargin == 3)
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36 if (! (isscalar (r) && (r > 0) && (r == round (r))))
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37 error ("chi2rnd: r must be a positive integer");
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38 endif
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39 if (! (isscalar (c) && (c > 0) && (c == round (c))))
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40 error ("chi2rnd: c must be a positive integer");
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41 endif
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42 sz = [r, c];
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43
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44 if (any (size (n) != 1)
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45 && (length (size (n)) != length (sz) || any (size (n) != sz)))
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46 error ("chi2rnd: n must be scalar or of size [r, c]");
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47 endif
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48 elseif (nargin == 2)
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49 if (isscalar (r) && (r > 0))
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50 sz = [r, r];
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51 elseif (isvector(r) && all (r > 0))
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52 sz = r(:)';
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53 else
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54 error ("chi2rnd: r must be a positive integer or vector");
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55 endif
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56
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57 if (any (size (n) != 1)
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58 && (length (size (n)) != length (sz) || any (size (n) != sz)))
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59 error ("chi2rnd: n must be scalar or of size sz");
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60 endif
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61 elseif (nargin == 1)
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62 sz = size(n);
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63 else
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64 print_usage ();
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65 endif
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66
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67 if (isscalar (n))
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68 if (find (!(n > 0) | !(n < Inf)))
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69 rnd = NaN * ones (sz);
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70 else
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71 rnd = 2 * randg(n/2, sz)
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72 endif
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73 else
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74 [retval, n, dummy] = common_size (n, ones (sz));
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75 if (retval > 0)
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76 error ("chi2rnd: a and b must be of common size or scalar");
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77 endif
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78
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79 rnd = zeros (sz);
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80 k = find (!(n > 0) | !(n < Inf));
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81 if (any (k))
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82 rnd(k) = NaN;
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83 endif
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84
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85 k = find ((n > 0) & (n < Inf));
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86 if (any (k))
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87 rnd(k) = 2 * randg(n(k)/2, size(k))
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88 endif
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89 endif
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90
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91 endfunction