annotate scripts/statistics/distributions/logistic_cdf.m @ 20643:d6d04088ac9e

nbininv.m: Increase speed (85X) and accuracy of function (bug #34363). * nbininv.m: Call new function scalar_nbininv to calculate nbininv for scalar. If there are still uncalculated values then call bin_search_nbininv. Call bin_search_nbininv directly for vectors. Add more BIST tests. * nbininv.m (scalar_binoinv): New subfunction to calculate nbininv for scalar x. Stops when x > 1000. * nbininv.m (bin_search_nbininv): New subfunction to do binary search for nbininv.
author Lachlan Andrew <lachlanbis@gmail.com>
date Sun, 11 Oct 2015 20:33:37 -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} {} logistic_cdf (@var{x})
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22 ## For each element of @var{x}, compute the cumulative distribution function
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23 ## (CDF) at @var{x} of the logistic distribution.
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24 ## @end deftypefn
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26 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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27 ## Description: CDF of the logistic distribution
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29 function cdf = logistic_cdf (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 ("logistic_cdf: X must not be complex");
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37 endif
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38
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39 cdf = 1 ./ (1 + exp (-x));
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40
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41 endfunction
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43
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44 %!shared x,y
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45 %! x = [-Inf -log(3) 0 log(3) Inf];
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46 %! y = [0, 1/4, 1/2, 3/4, 1];
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47 %!assert (logistic_cdf ([x, NaN]), [y, NaN], eps)
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48
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49 ## Test class of input preserved
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50 %!assert (logistic_cdf (single ([x, NaN])), single ([y, NaN]), eps ("single"))
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51
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52 ## Test input validation
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53 %!error logistic_cdf ()
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54 %!error logistic_cdf (1,2)
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55 %!error logistic_cdf (i)
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56