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comparison scripts/statistics/distributions/uniform_cdf.m @ 3426:f8dde1807dee

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[project @ 2000-01-13 08:40:00 by jwe]
author jwe
date Thu, 13 Jan 2000 08:40:53 +0000
parents e4f4b2d26ee9
children 434790acb067
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3425:8625164a0a39 3426:f8dde1807dee
1 ## Copyright (C) 1995, 1996, 1997 Kurt Hornik 1 ## Copyright (C) 1995, 1996, 1997 Kurt Hornik
2 ## 2 ##
3 ## This program is free software; you can redistribute it and/or modify 3 ## This program is free software; you can redistribute it and/or modify
4 ## it under the terms of the GNU General Public License as published by 4 ## it under the terms of the GNU General Public License as published by
5 ## the Free Software Foundation; either version 2, or (at your option) 5 ## the Free Software Foundation; either version 2, or (at your option)
6 ## any later version. 6 ## any later version.
7 ## 7 ##
8 ## This program is distributed in the hope that it will be useful, but 8 ## This program is distributed in the hope that it will be useful, but
9 ## WITHOUT ANY WARRANTY; without even the implied warranty of 9 ## WITHOUT ANY WARRANTY; without even the implied warranty of
10 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 10 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
11 ## General Public License for more details. 11 ## General Public License for more details.
12 ## 12 ##
13 ## You should have received a copy of the GNU General Public License 13 ## You should have received a copy of the GNU General Public License
14 ## along with this file. If not, write to the Free Software Foundation, 14 ## along with this file. If not, write to the Free Software Foundation,
15 ## 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. 15 ## 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
16 16
17 ## usage: uniform_cdf (x [, a, b]) 17 ## usage: uniform_cdf (x [, a, b])
18 ## 18 ##
19 ## Returns the CDF at x of the uniform distribution on [a, b], i.e., 19 ## Returns the CDF at x of the uniform distribution on [a, b], i.e.,
20 ## PROB( uniform(a,b) <= x ). 20 ## PROB( uniform(a,b) <= x ).
21 ## 21 ##
22 ## Default values are a = 0, b = 1. 22 ## Default values are a = 0, b = 1.
23 23
24 ## Author: KH <Kurt.Hornik@ci.tuwien.ac.at> 24 ## Author: KH <Kurt.Hornik@ci.tuwien.ac.at>
25 ## Description: CDF of the uniform distribution 25 ## Description: CDF of the uniform distribution
26 26
27 function cdf = uniform_cdf (x, a, b) 27 function cdf = uniform_cdf (x, a, b)
28 28
29 if !(nargin == 1 || nargin == 3) 29 if !(nargin == 1 || nargin == 3)
30 usage ("uniform_cdf (x [, a, b])"); 30 usage ("uniform_cdf (x [, a, b])");
31 endif 31 endif
32 32
33 if (nargin == 1) 33 if (nargin == 1)
36 endif 36 endif
37 37
38 [retval, x, a, b] = common_size (x, a, b); 38 [retval, x, a, b] = common_size (x, a, b);
39 if (retval > 0) 39 if (retval > 0)
40 error (["uniform_cdf: ", ... 40 error (["uniform_cdf: ", ...
41 "x, a and b must be of common size or scalar"]); 41 "x, a and b must be of common size or scalar"]);
42 endif 42 endif
43 43
44 [r, c] = size (x); 44 [r, c] = size (x);
45 s = r * c; 45 s = r * c;
46 x = reshape (x, 1, s); 46 x = reshape (x, 1, s);
47 a = reshape (a, 1, s); 47 a = reshape (a, 1, s);
48 b = reshape (b, 1, s); 48 b = reshape (b, 1, s);
49 cdf = zeros (1, s); 49 cdf = zeros (1, s);
50 50
51 k = find (isnan (x) | !(a < b)); 51 k = find (isnan (x) | !(a < b));
52 if any (k) 52 if any (k)
53 cdf(k) = NaN * ones (1, length (k)); 53 cdf(k) = NaN * ones (1, length (k));
54 endif 54 endif
55 55
56 k = find ((x >= b) & (a < b)); 56 k = find ((x >= b) & (a < b));
57 if any (k) 57 if any (k)
58 cdf(k) = ones (1, length (k)); 58 cdf(k) = ones (1, length (k));
59 endif 59 endif
60 60
61 k = find ((x > a) & (x < b)); 61 k = find ((x > a) & (x < b));
62 if any (k) 62 if any (k)
63 cdf(k) = (x(k) < b(k)) .* (x(k) - a(k)) ./ (b(k) - a(k)); 63 cdf(k) = (x(k) < b(k)) .* (x(k) - a(k)) ./ (b(k) - a(k));
64 endif 64 endif
65 65
66 cdf = reshape (cdf, r, c); 66 cdf = reshape (cdf, r, c);
67 67
68 endfunction 68 endfunction