Mercurial > octave-nkf
annotate scripts/statistics/distributions/hygepdf.m @ 11523:fd0a3ac60b0e
update copyright notices
| author | John W. Eaton <jwe@octave.org> |
|---|---|
| date | Fri, 14 Jan 2011 05:47:45 -0500 |
| parents | 1740012184f9 |
| children | 19b9f17d22af |
| rev | line source |
|---|---|
| 11523 | 1 ## Copyright (C) 1996-2011 Kurt Hornik |
| 5410 | 2 ## |
| 3 ## This file is part of Octave. | |
| 4 ## | |
| 5 ## Octave is free software; you can redistribute it and/or modify it | |
| 6 ## under the terms of the GNU General Public License as published by | |
| 7016 | 7 ## the Free Software Foundation; either version 3 of the License, or (at |
| 8 ## your option) any later version. | |
| 5410 | 9 ## |
| 10 ## Octave is distributed in the hope that it will be useful, but | |
| 11 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
| 12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
| 13 ## General Public License for more details. | |
| 14 ## | |
| 15 ## You should have received a copy of the GNU General Public License | |
| 7016 | 16 ## along with Octave; see the file COPYING. If not, see |
| 17 ## <http://www.gnu.org/licenses/>. | |
| 5410 | 18 |
| 19 ## -*- texinfo -*- | |
| 7002 | 20 ## @deftypefn {Function File} {} hygepdf (@var{x}, @var{t}, @var{m}, @var{n}) |
| 5410 | 21 ## Compute the probability density function (PDF) at @var{x} of the |
| 7002 | 22 ## hypergeometric distribution with parameters @var{t}, @var{m}, and |
|
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23 ## @var{n}. This is the probability of obtaining @var{x} marked items |
| 5410 | 24 ## when randomly drawing a sample of size @var{n} without replacement |
| 25 ## from a population of total size @var{t} containing @var{m} marked items. | |
| 26 ## | |
| 27 ## The arguments must be of common size or scalar. | |
| 28 ## @end deftypefn | |
| 29 | |
| 5428 | 30 ## Author: KH <Kurt.Hornik@wu-wien.ac.at> |
| 5410 | 31 ## Description: PDF of the hypergeometric distribution |
| 32 | |
| 7002 | 33 function pdf = hygepdf (x, t, m, n) |
| 5410 | 34 |
| 35 if (nargin != 4) | |
| 6046 | 36 print_usage (); |
| 5410 | 37 endif |
| 38 | |
| 7002 | 39 if (!isscalar (t) || !isscalar (m) || !isscalar (n)) |
| 40 [retval, x, t, m, n] = common_size (x, t, m, n); | |
| 5410 | 41 if (retval > 0) |
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42 error ("hygepdf: X, T, M, and N must be of common size or scalar"); |
| 5410 | 43 endif |
| 44 endif | |
| 45 | |
| 46 pdf = zeros (size (x)); | |
| 47 | |
| 48 ## everything in i1 gives NaN | |
| 7002 | 49 i1 = ((t < 0) | (m < 0) | (n <= 0) | (t != round (t)) | |
| 50 (m != round (m)) | (n != round (n)) | (m > t) | (n > t)); | |
| 5410 | 51 ## everything in i2 gives 0 unless in i1 |
| 52 i2 = ((x != round (x)) | (x < 0) | (x > m) | (n < x) | (n-x > t-m)); | |
| 53 k = find (i1); | |
| 54 if (any (k)) | |
| 7002 | 55 if (isscalar (t) && isscalar (m) && isscalar (n)) |
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56 pdf = NaN (size (x)); |
| 5410 | 57 else |
| 58 pdf (k) = NaN; | |
| 59 endif | |
| 60 endif | |
| 61 k = find (!i1 & !i2); | |
| 62 if (any (k)) | |
| 7002 | 63 if (isscalar (t) && isscalar (m) && isscalar (n)) |
| 5410 | 64 pdf (k) = (bincoeff (m, x(k)) .* bincoeff (t-m, n-x(k)) |
| 10549 | 65 / bincoeff (t, n)); |
| 5410 | 66 else |
| 67 pdf (k) = (bincoeff (m(k), x(k)) .* bincoeff (t(k)-m(k), n(k)-x(k)) | |
| 10549 | 68 ./ bincoeff (t(k), n(k))); |
| 5410 | 69 endif |
| 70 endif | |
| 71 | |
| 72 endfunction |