Mercurial > octave-nkf
annotate scripts/statistics/distributions/discrete_pdf.m @ 20641:c3c052b9192a
Improve performance and error reporting of betainv, gaminv (bug #34363).
* betainv.m: Replace for loop with do-until loop. Shorten max loop cycles to
40, rather than 10,000. Issue warning if algorithm fails.
* gaminv.m: Replace for loop with do-until loop. Shorten max loop cycles to
40, rather than 100. Issue warning if algorithm fails.
author | Rik <rik@octave.org> |
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date | Sun, 11 Oct 2015 16:55:17 -0700 |
parents | d9341b422488 |
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1 ## Copyright (C) 2012 Rik Wehbring |
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2 ## Copyright (C) 1996-2015 Kurt Hornik |
3426 | 3 ## |
3922 | 4 ## This file is part of Octave. |
5 ## | |
6 ## Octave is free software; you can redistribute it and/or modify it | |
7 ## under the terms of the GNU General Public License as published by | |
7016 | 8 ## the Free Software Foundation; either version 3 of the License, or (at |
9 ## your option) any later version. | |
3426 | 10 ## |
3922 | 11 ## Octave is distributed in the hope that it will be useful, but |
3191 | 12 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
3426 | 14 ## General Public License for more details. |
15 ## | |
3191 | 16 ## You should have received a copy of the GNU General Public License |
7016 | 17 ## along with Octave; see the file COPYING. If not, see |
18 ## <http://www.gnu.org/licenses/>. | |
3191 | 19 |
3456 | 20 ## -*- texinfo -*- |
21 ## @deftypefn {Function File} {} discrete_pdf (@var{x}, @var{v}, @var{p}) | |
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22 ## For each element of @var{x}, compute the probability density function (PDF) |
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23 ## at @var{x} of a univariate discrete distribution which assumes the values |
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24 ## in @var{v} with probabilities @var{p}. |
3456 | 25 ## @end deftypefn |
3191 | 26 |
5428 | 27 ## Author: KH <Kurt.Hornik@wu-wien.ac.at> |
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28 ## Description: PDF of a discrete distribution |
3191 | 29 |
3456 | 30 function pdf = discrete_pdf (x, v, p) |
3426 | 31 |
3191 | 32 if (nargin != 3) |
6046 | 33 print_usage (); |
3191 | 34 endif |
35 | |
4030 | 36 if (! isvector (v)) |
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37 error ("discrete_pdf: V must be a vector"); |
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38 elseif (any (isnan (v))) |
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39 error ("discrete_pdf: V must not have any NaN elements"); |
4030 | 40 elseif (! isvector (p) || (length (p) != length (v))) |
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41 error ("discrete_pdf: P must be a vector with length (V) elements"); |
3456 | 42 elseif (! (all (p >= 0) && any (p))) |
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43 error ("discrete_pdf: P must be a nonzero, non-negative vector"); |
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44 endif |
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45 |
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46 ## Reshape and normalize probability vector. Values not in table get 0 prob. |
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47 p = [0 ; p(:)/sum(p)]; |
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48 |
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49 if (isa (x, "single") || isa (v, "single") || isa (p, "single")) |
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50 pdf = NaN (size (x), "single"); |
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51 else |
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52 pdf = NaN (size (x)); |
3191 | 53 endif |
54 | |
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55 k = ! isnan (x); |
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56 [vs, vi] = sort (v(:)); |
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57 pdf(k) = p([0 ; vi](lookup (vs, x(k), 'm') + 1) + 1); |
3191 | 58 |
59 endfunction | |
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60 |
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61 |
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62 %!shared x,v,p,y |
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63 %! x = [-1 0.1 1.1 1.9 3]; |
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64 %! v = 0.1:0.2:1.9; |
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65 %! p = 1/length (v) * ones (1, length (v)); |
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66 %! y = [0 0.1 0.1 0.1 0]; |
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67 %!assert (discrete_pdf ([x, NaN], v, p), [y, NaN], 5*eps) |
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68 |
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69 ## Test class of input preserved |
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70 %!assert (discrete_pdf (single ([x, NaN]), v, p), single ([y, NaN]), 5*eps ("single")) |
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71 %!assert (discrete_pdf ([x, NaN], single (v), p), single ([y, NaN]), 5*eps ("single")) |
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72 %!assert (discrete_pdf ([x, NaN], v, single (p)), single ([y, NaN]), 5*eps ("single")) |
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73 |
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74 ## Test input validation |
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75 %!error discrete_pdf () |
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76 %!error discrete_pdf (1) |
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77 %!error discrete_pdf (1,2) |
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78 %!error discrete_pdf (1,2,3,4) |
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79 %!error discrete_pdf (1, ones (2), ones (2,1)) |
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80 %!error discrete_pdf (1, [1 ; NaN], ones (2,1)) |
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81 %!error discrete_pdf (1, ones (2,1), ones (1,1)) |
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82 %!error discrete_pdf (1, ones (2,1), [1 -1]) |
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83 %!error discrete_pdf (1, ones (2,1), [1 NaN]) |
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84 %!error discrete_pdf (1, ones (2,1), [0 0]) |
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85 |