annotate scripts/statistics/distributions/geopdf.m @ 20384:d9341b422488 stable

doc: Update more docstrings to have one sentence summary as first line. Reviewed statistics/ and @ftp/ in scripts directory. * scripts/@ftp/ascii.m, scripts/@ftp/binary.m, scripts/@ftp/cd.m, scripts/@ftp/dir.m, scripts/@ftp/ftp.m, scripts/@ftp/mget.m, scripts/@ftp/mput.m, scripts/statistics/base/center.m, scripts/statistics/base/cloglog.m, scripts/statistics/base/cov.m, scripts/statistics/base/gls.m, scripts/statistics/base/histc.m, scripts/statistics/base/iqr.m, scripts/statistics/base/kendall.m, scripts/statistics/base/kurtosis.m, scripts/statistics/base/logit.m, scripts/statistics/base/lscov.m, scripts/statistics/base/mahalanobis.m, scripts/statistics/base/mean.m, scripts/statistics/base/meansq.m, scripts/statistics/base/median.m, scripts/statistics/base/mode.m, scripts/statistics/base/moment.m, scripts/statistics/base/ols.m, scripts/statistics/base/ppplot.m, scripts/statistics/base/prctile.m, scripts/statistics/base/probit.m, scripts/statistics/base/range.m, scripts/statistics/base/ranks.m, scripts/statistics/base/run_count.m, scripts/statistics/base/runlength.m, scripts/statistics/base/skewness.m, scripts/statistics/base/spearman.m, scripts/statistics/base/statistics.m, scripts/statistics/base/std.m, scripts/statistics/base/table.m, scripts/statistics/base/var.m, scripts/statistics/base/zscore.m, scripts/statistics/distributions/betainv.m, scripts/statistics/distributions/binoinv.m, scripts/statistics/distributions/binopdf.m, scripts/statistics/distributions/cauchy_cdf.m, scripts/statistics/distributions/cauchy_inv.m, scripts/statistics/distributions/cauchy_pdf.m, scripts/statistics/distributions/chi2cdf.m, scripts/statistics/distributions/chi2inv.m, scripts/statistics/distributions/chi2pdf.m, scripts/statistics/distributions/discrete_cdf.m, scripts/statistics/distributions/discrete_inv.m, scripts/statistics/distributions/discrete_pdf.m, scripts/statistics/distributions/empirical_cdf.m, scripts/statistics/distributions/empirical_inv.m, scripts/statistics/distributions/empirical_pdf.m, scripts/statistics/distributions/expcdf.m, scripts/statistics/distributions/expinv.m, scripts/statistics/distributions/exppdf.m, scripts/statistics/distributions/finv.m, scripts/statistics/distributions/fpdf.m, scripts/statistics/distributions/gamcdf.m, scripts/statistics/distributions/gaminv.m, scripts/statistics/distributions/gampdf.m, scripts/statistics/distributions/geoinv.m, scripts/statistics/distributions/geopdf.m, scripts/statistics/distributions/hygecdf.m, scripts/statistics/distributions/hygeinv.m, scripts/statistics/distributions/hygepdf.m, scripts/statistics/distributions/kolmogorov_smirnov_cdf.m, scripts/statistics/distributions/laplace_cdf.m, scripts/statistics/distributions/laplace_inv.m, scripts/statistics/distributions/laplace_pdf.m, scripts/statistics/distributions/logistic_inv.m, scripts/statistics/distributions/logncdf.m, scripts/statistics/distributions/logninv.m, scripts/statistics/distributions/lognpdf.m, scripts/statistics/distributions/nbincdf.m, scripts/statistics/distributions/nbininv.m, scripts/statistics/distributions/nbinpdf.m, scripts/statistics/distributions/nbinrnd.m, scripts/statistics/distributions/normcdf.m, scripts/statistics/distributions/norminv.m, scripts/statistics/distributions/normpdf.m, scripts/statistics/distributions/poisscdf.m, scripts/statistics/distributions/poissinv.m, scripts/statistics/distributions/poisspdf.m, scripts/statistics/distributions/stdnormal_cdf.m, scripts/statistics/distributions/stdnormal_pdf.m, scripts/statistics/distributions/tcdf.m, scripts/statistics/distributions/tinv.m, scripts/statistics/distributions/tpdf.m, scripts/statistics/distributions/unidcdf.m, scripts/statistics/distributions/unidinv.m, scripts/statistics/distributions/unidpdf.m, scripts/statistics/distributions/unidrnd.m, scripts/statistics/distributions/unifcdf.m, scripts/statistics/distributions/unifinv.m, scripts/statistics/distributions/wblcdf.m, scripts/statistics/distributions/wblinv.m, scripts/statistics/distributions/wblpdf.m, scripts/statistics/distributions/wienrnd.m, scripts/statistics/models/private/logistic_regression_derivatives.m, scripts/statistics/models/private/logistic_regression_likelihood.m, scripts/statistics/tests/anova.m, scripts/statistics/tests/chisquare_test_homogeneity.m, scripts/statistics/tests/chisquare_test_independence.m, scripts/statistics/tests/cor_test.m, scripts/statistics/tests/f_test_regression.m, scripts/statistics/tests/hotelling_test.m, scripts/statistics/tests/kolmogorov_smirnov_test.m, scripts/statistics/tests/kolmogorov_smirnov_test_2.m, scripts/statistics/tests/kruskal_wallis_test.m, scripts/statistics/tests/manova.m, scripts/statistics/tests/mcnemar_test.m, scripts/statistics/tests/prop_test_2.m, scripts/statistics/tests/run_test.m, scripts/statistics/tests/sign_test.m, scripts/statistics/tests/t_test.m, scripts/statistics/tests/t_test_2.m, scripts/statistics/tests/t_test_regression.m, scripts/statistics/tests/u_test.m, scripts/statistics/tests/var_test.m, scripts/statistics/tests/welch_test.m, scripts/statistics/tests/wilcoxon_test.m, scripts/statistics/tests/z_test.m, scripts/statistics/tests/z_test_2.m: Update more docstrings to have one sentence summary as first line.
author Rik <rik@octave.org>
date Sun, 10 May 2015 16:07:41 -0700
parents 9fc020886ae9
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
14138
72c96de7a403 maint: update copyright notices for 2012
John W. Eaton <jwe@octave.org>
parents: 13171
diff changeset
1 ## Copyright (C) 2012 Rik Wehbring
19898
4197fc428c7d maint: Update copyright notices for 2015.
John W. Eaton <jwe@octave.org>
parents: 17744
diff changeset
2 ## Copyright (C) 1995-2015 Kurt Hornik
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
3 ##
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
4 ## This file is part of Octave.
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
5 ##
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
6 ## Octave is free software; you can redistribute it and/or modify it
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
7 ## under the terms of the GNU General Public License as published by
7016
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 6046
diff changeset
8 ## the Free Software Foundation; either version 3 of the License, or (at
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 6046
diff changeset
9 ## your option) any later version.
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
10 ##
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
11 ## Octave is distributed in the hope that it will be useful, but
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
12 ## WITHOUT ANY WARRANTY; without even the implied warranty of
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
14 ## General Public License for more details.
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
15 ##
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
16 ## You should have received a copy of the GNU General Public License
7016
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 6046
diff changeset
17 ## along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 6046
diff changeset
18 ## <http://www.gnu.org/licenses/>.
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
19
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
20 ## -*- texinfo -*-
5411
bee21f388110 [project @ 2005-07-13 17:53:44 by jwe]
jwe
parents: 5410
diff changeset
21 ## @deftypefn {Function File} {} geopdf (@var{x}, @var{p})
20384
d9341b422488 doc: Update more docstrings to have one sentence summary as first line.
Rik <rik@octave.org>
parents: 20038
diff changeset
22 ## For each element of @var{x}, compute the probability density function (PDF)
d9341b422488 doc: Update more docstrings to have one sentence summary as first line.
Rik <rik@octave.org>
parents: 20038
diff changeset
23 ## at @var{x} of the geometric distribution with parameter @var{p}.
17401
6643f21e27f3 doc: Document the form of the geometric distribution being used (II) in geo* functions.
Rik <rik@octave.org>
parents: 14363
diff changeset
24 ##
6643f21e27f3 doc: Document the form of the geometric distribution being used (II) in geo* functions.
Rik <rik@octave.org>
parents: 14363
diff changeset
25 ## The geometric distribution models the number of failures (@var{x}-1) of a
6643f21e27f3 doc: Document the form of the geometric distribution being used (II) in geo* functions.
Rik <rik@octave.org>
parents: 14363
diff changeset
26 ## Bernoulli trial with probability @var{p} before the first success (@var{x}).
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
27 ## @end deftypefn
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
28
5428
2a16423e4aa0 [project @ 2005-08-23 18:38:27 by jwe]
jwe
parents: 5411
diff changeset
29 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
30 ## Description: PDF of the geometric distribution
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
31
5411
bee21f388110 [project @ 2005-07-13 17:53:44 by jwe]
jwe
parents: 5410
diff changeset
32 function pdf = geopdf (x, p)
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
33
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
34 if (nargin != 2)
6046
34f96dd5441b [project @ 2006-10-10 16:10:25 by jwe]
jwe
parents: 5428
diff changeset
35 print_usage ();
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
36 endif
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
37
20038
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19898
diff changeset
38 if (! isscalar (p))
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
39 [retval, x, p] = common_size (x, p);
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
40 if (retval > 0)
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
41 error ("geopdf: X and P must be of common size or scalars");
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
42 endif
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
43 endif
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
44
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
45 if (iscomplex (x) || iscomplex (p))
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
46 error ("geopdf: X and P must not be complex");
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
47 endif
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
48
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
49 if (isa (x, "single") || isa (p, "single"))
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
50 pdf = zeros (size (x), "single");
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
51 else
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
52 pdf = zeros (size (x));
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
53 endif
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
54
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
55 k = isnan (x) | (x == Inf) | !(p >= 0) | !(p <= 1);
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
56 pdf(k) = NaN;
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
57
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
58 k = (x >= 0) & (x < Inf) & (x == fix (x)) & (p > 0) & (p <= 1);
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
59 if (isscalar (p))
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
60 pdf(k) = p * ((1 - p) .^ x(k));
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
61 else
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
62 pdf(k) = p(k) .* ((1 - p(k)) .^ x(k));
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
63 endif
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
64
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
65 endfunction
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
66
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
67
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
68 %!shared x,y
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
69 %! x = [-1 0 1 Inf];
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
70 %! y = [0, 1/2, 1/4, NaN];
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
71 %!assert (geopdf (x, 0.5*ones (1,4)), y)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
72 %!assert (geopdf (x, 0.5), y)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
73 %!assert (geopdf (x, 0.5*[-1 NaN 4 1]), [NaN NaN NaN y(4)])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
74 %!assert (geopdf ([x, NaN], 0.5), [y, NaN])
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
75
20038
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19898
diff changeset
76 ## Test class of input preserved
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
77 %!assert (geopdf (single ([x, NaN]), 0.5), single ([y, NaN]), 5*eps ("single"))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
78 %!assert (geopdf ([x, NaN], single (0.5)), single ([y, NaN]), 5*eps ("single"))
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
79
20038
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19898
diff changeset
80 ## Test input validation
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
81 %!error geopdf ()
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
82 %!error geopdf (1)
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
83 %!error geopdf (1,2,3)
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
84 %!error geopdf (ones (3), ones (2))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
85 %!error geopdf (ones (2), ones (3))
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
86 %!error geopdf (i, 2)
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
87 %!error geopdf (2, i)
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
88