Mercurial > octave-nkf
view scripts/statistics/distributions/gaminv.m @ 20209: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 | c3c052b9192a |
line wrap: on
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## Copyright (C) 2012 Rik Wehbring ## Copyright (C) 1995-2015 Kurt Hornik ## ## This file is part of Octave. ## ## Octave is free software; you can redistribute it and/or modify it ## under the terms of the GNU General Public License as published by ## the Free Software Foundation; either version 3 of the License, or (at ## your option) any later version. ## ## Octave is distributed in the hope that it will be useful, but ## WITHOUT ANY WARRANTY; without even the implied warranty of ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU ## General Public License for more details. ## ## You should have received a copy of the GNU General Public License ## along with Octave; see the file COPYING. If not, see ## <http://www.gnu.org/licenses/>. ## -*- texinfo -*- ## @deftypefn {Function File} {} gaminv (@var{x}, @var{a}, @var{b}) ## For each element of @var{x}, compute the quantile (the inverse of the CDF) ## at @var{x} of the Gamma distribution with shape parameter @var{a} and ## scale @var{b}. ## @end deftypefn ## Author: KH <Kurt.Hornik@wu-wien.ac.at> ## Description: Quantile function of the Gamma distribution function inv = gaminv (x, a, b) if (nargin != 3) print_usage (); endif if (! isscalar (a) || ! isscalar (b)) [retval, x, a, b] = common_size (x, a, b); if (retval > 0) error ("gaminv: X, A, and B must be of common size or scalars"); endif endif if (iscomplex (x) || iscomplex (a) || iscomplex (b)) error ("gaminv: X, A, and B must not be complex"); endif if (isa (x, "single") || isa (a, "single") || isa (b, "single")) inv = zeros (size (x), "single"); else inv = zeros (size (x)); endif k = ((x < 0) | (x > 1) | isnan (x) | !(a > 0) | !(a < Inf) | !(b > 0) | !(b < Inf)); inv(k) = NaN; k = (x == 1) & (a > 0) & (a < Inf) & (b > 0) & (b < Inf); inv(k) = Inf; k = find ((x > 0) & (x < 1) & (a > 0) & (a < Inf) & (b > 0) & (b < Inf)); if (any (k)) if (! isscalar (a) || ! isscalar (b)) a = a(k); b = b(k); y = a .* b; else y = a * b * ones (size (k)); endif x = x(k); if (isa (x, "single")) myeps = eps ("single"); else myeps = eps; endif l = find (x < myeps); if (any (l)) y(l) = sqrt (myeps) * ones (length (l), 1); endif y_old = y; for i = 1 : 100 h = (gamcdf (y_old, a, b) - x) ./ gampdf (y_old, a, b); y_new = y_old - h; ind = find (y_new <= myeps); if (any (ind)) y_new(ind) = y_old(ind) / 10; h = y_old - y_new; endif if (max (abs (h)) < sqrt (myeps)) break; endif y_old = y_new; endfor inv(k) = y_new; endif endfunction %!shared x %! x = [-1 0 0.63212055882855778 1 2]; %!assert (gaminv (x, ones (1,5), ones (1,5)), [NaN 0 1 Inf NaN], eps) %!assert (gaminv (x, 1, ones (1,5)), [NaN 0 1 Inf NaN], eps) %!assert (gaminv (x, ones (1,5), 1), [NaN 0 1 Inf NaN], eps) %!assert (gaminv (x, [1 -Inf NaN Inf 1], 1), [NaN NaN NaN NaN NaN]) %!assert (gaminv (x, 1, [1 -Inf NaN Inf 1]), [NaN NaN NaN NaN NaN]) %!assert (gaminv ([x(1:2) NaN x(4:5)], 1, 1), [NaN 0 NaN Inf NaN]) ## Test class of input preserved %!assert (gaminv ([x, NaN], 1, 1), [NaN 0 1 Inf NaN NaN], eps) %!assert (gaminv (single ([x, NaN]), 1, 1), single ([NaN 0 1 Inf NaN NaN]), eps ("single")) %!assert (gaminv ([x, NaN], single (1), 1), single ([NaN 0 1 Inf NaN NaN]), eps ("single")) %!assert (gaminv ([x, NaN], 1, single (1)), single ([NaN 0 1 Inf NaN NaN]), eps ("single")) ## Test input validation %!error gaminv () %!error gaminv (1) %!error gaminv (1,2) %!error gaminv (1,2,3,4) %!error gaminv (ones (3), ones (2), ones (2)) %!error gaminv (ones (2), ones (3), ones (2)) %!error gaminv (ones (2), ones (2), ones (3)) %!error gaminv (i, 2, 2) %!error gaminv (2, i, 2) %!error gaminv (2, 2, i)