annotate scripts/statistics/distributions/laplace_inv.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
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1 ## Copyright (C) 2012 Rik Wehbring
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2 ## Copyright (C) 1995-2015 Kurt Hornik
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3 ##
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4 ## This file is part of Octave.
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5 ##
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6 ## Octave is free software; you can redistribute it and/or modify it
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7 ## under the terms of the GNU General Public License as published by
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8 ## the Free Software Foundation; either version 3 of the License, or (at
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9 ## your option) any later version.
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10 ##
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11 ## Octave is distributed in the hope that it will be useful, but
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12 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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14 ## General Public License for more details.
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15 ##
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16 ## You should have received a copy of the GNU General Public License
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17 ## along with Octave; see the file COPYING. If not, see
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18 ## <http://www.gnu.org/licenses/>.
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19
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20 ## -*- texinfo -*-
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21 ## @deftypefn {Function File} {} laplace_inv (@var{x})
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22 ## For each element of @var{x}, compute the quantile (the inverse of the CDF)
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23 ## at @var{x} of the Laplace distribution.
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24 ## @end deftypefn
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25
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26 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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27 ## Description: Quantile function of the Laplace distribution
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28
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29 function inv = laplace_inv (x)
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30
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31 if (nargin != 1)
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32 print_usage ();
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33 endif
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34
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35 if (iscomplex (x))
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36 error ("laplace_inv: X must not be complex");
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37 endif
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38
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39 if (isa (x, "single"))
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40 inv = NaN (size (x), "single");
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41 else
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42 inv = NaN (size (x));
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43 endif
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44
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45 k = (x >= 0) & (x <= 1);
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46 inv(k) = ((x(k) < 1/2) .* log (2 * x(k))
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47 - (x(k) > 1/2) .* log (2 * (1 - x(k))));
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48
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49 endfunction
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50
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51
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52 %!shared x
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53 %! x = [-1 0 0.5 1 2];
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54 %!assert (laplace_inv (x), [NaN -Inf 0 Inf NaN])
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55
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56 ## Test class of input preserved
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57 %!assert (laplace_inv ([x, NaN]), [NaN -Inf 0 Inf NaN NaN])
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58 %!assert (laplace_inv (single ([x, NaN])), single ([NaN -Inf 0 Inf NaN NaN]))
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59
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60 ## Test input validation
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61 %!error laplace_inv ()
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62 %!error laplace_inv (1,2)
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63 %!error laplace_inv (i)
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64