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1 ## Copyright (C) 1995, 1996, 1997 Kurt Hornik |
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2 ## |
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3 ## This file is part of Octave. |
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4 ## |
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5 ## Octave is free software; you can redistribute it and/or modify it |
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6 ## under the terms of the GNU General Public License as published by |
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7 ## the Free Software Foundation; either version 2, or (at your option) |
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8 ## any later version. |
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9 ## |
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10 ## Octave is distributed in the hope that it will be useful, but |
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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13 ## General Public License for more details. |
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14 ## |
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15 ## You should have received a copy of the GNU General Public License |
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16 ## along with Octave; see the file COPYING. If not, write to the Free |
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17 ## Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA |
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18 ## 02110-1301, USA. |
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19 |
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20 ## -*- texinfo -*- |
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21 ## @deftypefn {Function File} {} exponential_cdf (@var{x}, @var{lambda}) |
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22 ## For each element of @var{x}, compute the cumulative distribution |
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23 ## function (CDF) at @var{x} of the exponential distribution with |
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24 ## parameter @var{lambda}. |
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25 ## |
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26 ## The arguments can be of common size or scalar. |
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27 ## @end deftypefn |
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28 |
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29 ## Author: KH <Kurt.Hornik@ci.tuwien.ac.at> |
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30 ## Description: CDF of the exponential distribution |
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31 |
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32 function cdf = exponential_cdf (x, l) |
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33 |
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34 if (nargin != 2) |
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35 usage ("exponential_cdf (x, lambda)"); |
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36 endif |
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37 |
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38 if (!isscalar (x) && !isscalar(l)) |
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39 [retval, x, l] = common_size (x, l); |
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40 if (retval > 0) |
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41 error ("exponential_cdf: x and lambda must be of common size or scalar"); |
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42 endif |
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43 endif |
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44 |
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45 if (isscalar (x)) |
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46 sz = size (l); |
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47 else |
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48 sz = size (x); |
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49 endif |
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50 |
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51 cdf = zeros (sz); |
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52 |
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53 k = find (isnan (x) | !(l > 0)); |
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54 if (any (k)) |
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55 cdf(k) = NaN; |
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56 endif |
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57 |
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58 k = find ((x == Inf) & (l > 0)); |
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59 if (any (k)) |
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60 cdf(k) = 1; |
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61 endif |
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62 |
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63 k = find ((x > 0) & (x < Inf) & (l > 0)); |
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64 if (any (k)) |
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65 if isscalar (l) |
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66 cdf (k) = 1 - exp (- l .* x(k)); |
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67 elseif isscalar (x) |
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68 cdf (k) = 1 - exp (- l(k) .* x); |
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69 else |
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70 cdf (k) = 1 - exp (- l(k) .* x(k)); |
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71 endif |
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72 endif |
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73 |
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74 endfunction |
