Mercurial > octave-nkf
annotate scripts/statistics/distributions/expinv.m @ 14138:72c96de7a403 stable
maint: update copyright notices for 2012
author | John W. Eaton <jwe@octave.org> |
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date | Mon, 02 Jan 2012 14:25:41 -0500 |
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1 ## Copyright (C) 2012 Rik Wehbring |
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2 ## Copyright (C) 1995-2012 Kurt Hornik |
5410 | 3 ## |
4 ## This file is part of Octave. | |
5 ## | |
6 ## Octave is free software; you can redistribute it and/or modify it | |
7 ## under the terms of the GNU General Public License as published by | |
7016 | 8 ## the Free Software Foundation; either version 3 of the License, or (at |
9 ## your option) any later version. | |
5410 | 10 ## |
11 ## Octave is distributed in the hope that it will be useful, but | |
12 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
14 ## General Public License for more details. | |
15 ## | |
16 ## You should have received a copy of the GNU General Public License | |
7016 | 17 ## along with Octave; see the file COPYING. If not, see |
18 ## <http://www.gnu.org/licenses/>. | |
5410 | 19 |
20 ## -*- texinfo -*- | |
5411 | 21 ## @deftypefn {Function File} {} expinv (@var{x}, @var{lambda}) |
5410 | 22 ## For each element of @var{x}, compute the quantile (the inverse of the |
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23 ## CDF) at @var{x} of the exponential distribution with mean @var{lambda}. |
5410 | 24 ## @end deftypefn |
25 | |
5428 | 26 ## Author: KH <Kurt.Hornik@wu-wien.ac.at> |
5410 | 27 ## Description: Quantile function of the exponential distribution |
28 | |
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29 function inv = expinv (x, lambda) |
5410 | 30 |
31 if (nargin != 2) | |
6046 | 32 print_usage (); |
5410 | 33 endif |
34 | |
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35 if (!isscalar (lambda)) |
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36 [retval, x, lambda] = common_size (x, lambda); |
5410 | 37 if (retval > 0) |
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38 error ("expinv: X and LAMBDA must be of common size or scalars"); |
5410 | 39 endif |
40 endif | |
41 | |
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42 if (iscomplex (x) || iscomplex (lambda)) |
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43 error ("expinv: X and LAMBDA must not be complex"); |
5410 | 44 endif |
45 | |
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46 if (!isscalar (x)) |
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47 sz = size (x); |
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48 else |
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49 sz = size (lambda); |
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50 endif |
5410 | 51 |
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52 if (iscomplex (x) || iscomplex (lambda)) |
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53 error ("expinv: X and LAMBDA must not be complex"); |
5410 | 54 endif |
55 | |
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56 if (isa (x, "single") || isa (lambda, "single")) |
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57 inv = NaN (size (x), "single"); |
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58 else |
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59 inv = NaN (size (x)); |
5410 | 60 endif |
61 | |
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62 k = (x == 1) & (lambda > 0); |
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63 inv(k) = Inf; |
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64 |
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65 k = (x >= 0) & (x < 1) & (lambda > 0); |
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66 if isscalar (lambda) |
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67 inv(k) = - lambda * log (1 - x(k)); |
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68 else |
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69 inv(k) = - lambda(k) .* log (1 - x(k)); |
5410 | 70 endif |
71 | |
72 endfunction | |
5411 | 73 |
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74 |
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75 %!shared x |
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76 %! x = [-1 0 0.3934693402873666 1 2]; |
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77 %!assert(expinv (x, 2*ones(1,5)), [NaN 0 1 Inf NaN], eps); |
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78 %!assert(expinv (x, 2), [NaN 0 1 Inf NaN], eps); |
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79 %!assert(expinv (x, 2*[1 0 NaN 1 1]), [NaN NaN NaN Inf NaN], eps); |
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80 %!assert(expinv ([x(1:2) NaN x(4:5)], 2), [NaN 0 NaN Inf NaN], eps); |
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81 |
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82 %% Test class of input preserved |
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83 %!assert(expinv ([x, NaN], 2), [NaN 0 1 Inf NaN NaN], eps); |
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84 %!assert(expinv (single([x, NaN]), 2), single([NaN 0 1 Inf NaN NaN]), eps); |
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85 %!assert(expinv ([x, NaN], single(2)), single([NaN 0 1 Inf NaN NaN]), eps); |
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86 |
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87 %% Test input validation |
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88 %!error expinv () |
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89 %!error expinv (1) |
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90 %!error expinv (1,2,3) |
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91 %!error expinv (ones(3),ones(2)) |
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92 %!error expinv (ones(2),ones(3)) |
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93 %!error expinv (i, 2) |
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94 %!error expinv (2, i) |
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95 |