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1 ## Copyright (C) 1995, 1996, 1997, 2005, 2006, 2007 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 3 of the License, or (at |
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8 ## your option) 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, see |
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17 ## <http://www.gnu.org/licenses/>. |
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18 |
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19 ## -*- texinfo -*- |
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20 ## @deftypefn {Function File} {} poisspdf (@var{x}, @var{lambda}) |
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21 ## For each element of @var{x}, compute the probability density function |
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22 ## (PDF) at @var{x} of the poisson distribution with parameter @var{lambda}. |
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23 ## @end deftypefn |
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24 |
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25 ## Author: KH <Kurt.Hornik@wu-wien.ac.at> |
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26 ## Description: PDF of the Poisson distribution |
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27 |
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28 function pdf = poisspdf (x, l) |
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29 |
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30 if (nargin != 2) |
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31 print_usage (); |
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32 endif |
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33 |
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34 if (!isscalar (l)) |
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35 [retval, x, l] = common_size (x, l); |
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36 if (retval > 0) |
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37 error ("poisspdf: x and lambda must be of common size or scalar"); |
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38 endif |
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39 endif |
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40 |
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41 pdf = zeros (size (x)); |
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42 |
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43 k = find (!(l > 0) | isnan (x)); |
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44 if (any (k)) |
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45 pdf(k) = NaN; |
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46 endif |
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47 |
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48 k = find ((x >= 0) & (x < Inf) & (x == round (x)) & (l > 0)); |
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49 if (any (k)) |
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50 if (isscalar (l)) |
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51 pdf(k) = exp (x(k) .* log (l) - l - gammaln (x(k) + 1)); |
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52 else |
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53 pdf(k) = exp (x(k) .* log (l(k)) - l(k) - gammaln (x(k) + 1)); |
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54 endif |
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55 endif |
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56 |
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57 endfunction |
