Mercurial > octave-nkf
annotate scripts/statistics/distributions/binopdf.m @ 13171:19b9f17d22af
Overhaul of statistical distribution functions
Support class "single"
75% reduction in memory usage
More Matlab compatibility for corner cases
* betacdf.m, betainv.m, betapdf.m, betarnd.m, binocdf.m, binoinv.m, binopdf.m,
binornd.m, cauchy_cdf.m, cauchy_inv.m, cauchy_pdf.m, cauchy_rnd.m, chi2cdf.m,
chi2inv.m, chi2pdf.m, chi2rnd.m, discrete_cdf.m, discrete_inv.m,
discrete_pdf.m, discrete_rnd.m, empirical_cdf.m, empirical_inv.m,
empirical_pdf.m, empirical_rnd.m, expcdf.m, expinv.m, exppdf.m, exprnd.m,
fcdf.m, finv.m, fpdf.m, frnd.m, gamcdf.m, gaminv.m, gampdf.m, gamrnd.m,
geocdf.m, geoinv.m, geopdf.m, geornd.m, hygecdf.m, hygeinv.m, hygepdf.m,
hygernd.m, kolmogorov_smirnov_cdf.m, laplace_cdf.m, laplace_inv.m,
laplace_pdf.m, laplace_rnd.m, logistic_cdf.m, logistic_inv.m, logistic_pdf.m,
logistic_rnd.m, logncdf.m, logninv.m, lognpdf.m, lognrnd.m, nbincdf.m,
nbininv.m, nbinpdf.m, nbinrnd.m, normcdf.m, norminv.m, normpdf.m, normrnd.m,
poisscdf.m, poissinv.m, poisspdf.m, poissrnd.m, stdnormal_cdf.m,
stdnormal_inv.m, stdnormal_pdf.m, stdnormal_rnd.m, tcdf.m, tinv.m, tpdf.m,
trnd.m, unidcdf.m, unidinv.m, unidpdf.m, unidrnd.m, unifcdf.m, unifinv.m,
unifpdf.m, unifrnd.m, wblcdf.m, wblinv.m, wblpdf.m, wblrnd.m:
Return "single" outputs for "single" inputs,
Use logical indexing rather than find() for 75% memory savings,
Add tests for all functions,
Use consistent documentation across all functions,
More Matlab compatibilitcy for corner cases.
author | Rik <octave@nomad.inbox5.com> |
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date | Tue, 20 Sep 2011 12:13:13 -0700 |
parents | fd0a3ac60b0e |
children | e0a3cca6e677 |
rev | line source |
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13171
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1 ## Copyright (C) 2011 Rik Wehbring |
11523 | 2 ## Copyright (C) 1995-2011 Kurt Hornik |
5410 | 3 ## |
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. | |
5410 | 10 ## |
11 ## Octave is distributed in the hope that it will be useful, but | |
12 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
14 ## General Public License for more details. | |
15 ## | |
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/>. | |
5410 | 19 |
20 ## -*- texinfo -*- | |
5411 | 21 ## @deftypefn {Function File} {} binopdf (@var{x}, @var{n}, @var{p}) |
5410 | 22 ## For each element of @var{x}, compute the probability density function |
23 ## (PDF) at @var{x} of the binomial distribution with parameters @var{n} | |
24 ## and @var{p}. | |
25 ## @end deftypefn | |
26 | |
5428 | 27 ## Author: KH <Kurt.Hornik@wu-wien.ac.at> |
5410 | 28 ## Description: PDF of the binomial distribution |
29 | |
5411 | 30 function pdf = binopdf (x, n, p) |
5410 | 31 |
32 if (nargin != 3) | |
6046 | 33 print_usage (); |
5410 | 34 endif |
35 | |
36 if (! isscalar (n) || ! isscalar (p)) | |
37 [retval, x, n, p] = common_size (x, n, p); | |
38 if (retval > 0) | |
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39 error ("binopdf: X, N, and P must be of common size or scalars"); |
5410 | 40 endif |
41 endif | |
42 | |
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43 if (iscomplex (x) || iscomplex (n) || iscomplex (p)) |
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44 error ("binopdf: X, N, and P must not be complex"); |
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45 endif |
5410 | 46 |
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47 if (isa (x, "single") || isa (n, "single") || isa (p, "single")); |
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48 pdf = zeros (size (x), "single"); |
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49 else |
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50 pdf = zeros (size (x)); |
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51 endif |
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52 |
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53 k = (x == fix (x)) & (n == fix (n)) & (n >= 0) & (p >= 0) & (p <= 1); |
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54 |
5410 | 55 pdf(! k) = NaN; |
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56 |
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57 k &= ((x >= 0) & (x <= n)); |
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58 if (isscalar (n) && isscalar (p)) |
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59 pdf(k) = exp (gammaln (n+1) - gammaln (x(k)+1) - gammaln (n-x(k)+1) |
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60 + x(k)*log (p) + (n-x(k))*log (1-p)); |
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61 else |
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62 pdf(k) = exp (gammaln (n(k)+1) - gammaln (x(k)+1) - gammaln (n(k)-x(k)+1) |
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63 + x(k).*log (p(k)) + (n(k)-x(k)).*log (1-p(k))); |
5410 | 64 endif |
65 | |
66 endfunction | |
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67 |
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68 |
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69 %!shared x,y |
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70 %! x = [-1 0 1 2 3]; |
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71 %! y = [0 1/4 1/2 1/4 0]; |
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72 %!assert(binopdf (x, 2*ones(1,5), 0.5*ones(1,5)), y); |
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73 %!assert(binopdf (x, 2, 0.5*ones(1,5)), y); |
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74 %!assert(binopdf (x, 2*ones(1,5), 0.5), y); |
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75 %!assert(binopdf (x, 2*[0 -1 NaN 1.1 1], 0.5), [0 NaN NaN NaN 0]); |
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76 %!assert(binopdf (x, 2, 0.5*[0 -1 NaN 3 1]), [0 NaN NaN NaN 0]); |
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77 %!assert(binopdf ([x, NaN], 2, 0.5), [y, NaN]); |
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78 |
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79 %% Test class of input preserved |
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80 %!assert(binopdf (single([x, NaN]), 2, 0.5), single([y, NaN])); |
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81 %!assert(binopdf ([x, NaN], single(2), 0.5), single([y, NaN])); |
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82 %!assert(binopdf ([x, NaN], 2, single(0.5)), single([y, NaN])); |
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83 |
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84 %% Test input validation |
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85 %!error binopdf () |
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86 %!error binopdf (1) |
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87 %!error binopdf (1,2) |
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88 %!error binopdf (1,2,3,4) |
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89 %!error binopdf (ones(3),ones(2),ones(2)) |
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90 %!error binopdf (ones(2),ones(3),ones(2)) |
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91 %!error binopdf (ones(2),ones(2),ones(3)) |
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92 %!error binopdf (i, 2, 2) |
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93 %!error binopdf (2, i, 2) |
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94 %!error binopdf (2, 2, i) |
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95 |