annotate scripts/statistics/distributions/wblcdf.m @ 10793:be55736a0783

Grammarcheck the documentation from m-files.
author Rik <octave@nomad.inbox5.com>
date Sun, 18 Jul 2010 20:35:16 -0700
parents 3306cfcb856e
children 693e22af08ae
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16f53d29049f update copyright notices
John W. Eaton <jwe@octave.org>
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1 ## Copyright (C) 1995, 1996, 1997, 2006, 2007, 2009 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} {} wblcdf (@var{x}, @var{scale}, @var{shape})
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21 ## Compute the cumulative distribution function (CDF) at @var{x} of the
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22 ## Weibull distribution with shape parameter @var{scale} and scale
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23 ## parameter @var{shape}, which is
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24 ##
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25 ## @tex
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26 ## $$ 1 - \exp(-(x/shape)^{scale}) $$
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27 ## for $x\geq 0$.
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28 ## @end tex
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29 ## @ifnottex
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30 ## @example
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31 ## 1 - exp(-(x/shape)^scale)
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32 ## @end example
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Rik <octave@nomad.inbox5.com>
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33 ## for @var{x} @geq{} 0.
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34 ## @end ifnottex
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35 ## @end deftypefn
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36
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37 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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38 ## Description: CDF of the Weibull distribution
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39
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40 function cdf = wblcdf (x, scale, shape)
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41
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42 if (nargin < 1 || nargin > 3)
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43 print_usage ();
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44 endif
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45
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46 if (nargin < 3)
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47 shape = 1;
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48 endif
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49
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50 if (nargin < 2)
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51 scale = 1;
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52 endif
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53
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54 if (!isscalar (shape) || !isscalar (scale))
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55 [retval, x, shape, scale] = common_size (x, shape, scale);
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56 if (retval > 0)
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57 error ("wblcdf: x, scale and shape must be of common size or scalar");
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58 endif
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59 endif
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60
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61 cdf = NaN (size (x));
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62
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63 ok = ((shape > 0) & (shape < Inf) & (scale > 0) & (scale < Inf));
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64
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65 k = find ((x <= 0) & ok);
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66 if (any (k))
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67 cdf(k) = 0;
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68 endif
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69
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70 k = find ((x > 0) & (x < Inf) & ok);
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71 if (any (k))
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72 if (isscalar (shape) && isscalar (scale))
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73 cdf(k) = 1 - exp (- (x(k) / scale) .^ shape);
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74 else
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75 cdf(k) = 1 - exp (- (x(k) ./ scale(k)) .^ shape(k));
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76 endif
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77 endif
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78
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79 k = find ((x == Inf) & ok);
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80 if (any (k))
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81 cdf(k) = 1;
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82 endif
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83
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84 endfunction