Mercurial > hg > octave-nkf
annotate scripts/statistics/base/logit.m @ 20818:9d2023d1a63c
binoinv.m: Implement binary search algorithm for 28X performance increase (bug #34363).
* binoinv.m: Call new functions scalar_binoinv or vector_binoinv to calculate
binoinv. If there are still uncalculated values then call bin_search_binoinv
to perform binary search for remaining values. Add more BIST tests.
* binoinv.m (scalar_binoinv): New subfunction to calculate binoinv for scalar x.
Stops when x > 1000.
* binoinv.m (vector_binoinv): New subfunction to calculate binoinv for scalar x.
Stops when x > 1000.
author | Lachlan Andrew <lachlanbis@gmail.com> |
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date | Sun, 11 Oct 2015 19:49:40 -0700 |
parents | d9341b422488 |
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rev | line source |
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1 ## Copyright (C) 1995-2015 Kurt Hornik |
3426 | 2 ## |
3922 | 3 ## This file is part of Octave. |
4 ## | |
5 ## Octave is free software; you can redistribute it and/or modify it | |
6 ## under the terms of the GNU General Public License as published by | |
7016 | 7 ## the Free Software Foundation; either version 3 of the License, or (at |
8 ## your option) any later version. | |
3426 | 9 ## |
3922 | 10 ## Octave is distributed in the hope that it will be useful, but |
3200 | 11 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
3426 | 13 ## General Public License for more details. |
14 ## | |
3200 | 15 ## You should have received a copy of the GNU General Public License |
7016 | 16 ## along with Octave; see the file COPYING. If not, see |
17 ## <http://www.gnu.org/licenses/>. | |
3200 | 18 |
3453 | 19 ## -*- texinfo -*- |
20 ## @deftypefn {Function File} {} logit (@var{p}) | |
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21 ## Compute the logit for each value of @var{p} |
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22 ## |
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23 ## The logit is defined as |
6754 | 24 ## @tex |
25 ## $$ | |
26 ## {\rm logit}(p) = \log\Big({p \over 1-p}\Big) | |
27 ## $$ | |
28 ## @end tex | |
29 ## @ifnottex | |
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30 ## |
6754 | 31 ## @example |
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32 ## logit (@var{p}) = log (@var{p} / (1-@var{p})) |
6754 | 33 ## @end example |
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34 ## |
6754 | 35 ## @end ifnottex |
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36 ## @seealso{probit, logistic_cdf} |
3453 | 37 ## @end deftypefn |
3426 | 38 |
5428 | 39 ## Author: KH <Kurt.Hornik@wu-wien.ac.at> |
3456 | 40 ## Description: Logit transformation |
3200 | 41 |
42 function y = logit (p) | |
3426 | 43 |
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44 if (nargin != 1) |
6046 | 45 print_usage (); |
3200 | 46 endif |
47 | |
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48 y = logistic_inv (p); |
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49 |
6754 | 50 endfunction |
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51 |
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52 |
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53 %!test |
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54 %! p = [0.01:0.01:0.99]; |
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55 %! assert (logit (p), log (p ./ (1-p)), 25*eps); |
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56 |
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57 %!assert (logit ([-1, 0, 0.5, 1, 2]), [NaN, -Inf, 0, +Inf, NaN]) |
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58 |
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59 ## Test input validation |
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60 %!error logit () |
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61 %!error logit (1, 2) |
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62 |