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Diffstat (limited to 'modules/statistics/macros/binomial.sci')
-rwxr-xr-x | modules/statistics/macros/binomial.sci | 59 |
1 files changed, 59 insertions, 0 deletions
diff --git a/modules/statistics/macros/binomial.sci b/modules/statistics/macros/binomial.sci new file mode 100755 index 000000000..e311dd211 --- /dev/null +++ b/modules/statistics/macros/binomial.sci @@ -0,0 +1,59 @@ +// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +// Copyright (C) INRIA +// Copyright (C) DIGITEO - 2011 - Allan CORNET +// +// This file must be used under the terms of the CeCILL. +// This source file is licensed as described in the file COPYING, which +// you should have received as part of this distribution. The terms +// are also available at +// http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.txt + +function [P] = binomial(p,N) + // + // PURPOSE + // Compute probabilities of the binomial law B(N,p) + // + // PARAMETERS + // p : a real in [0,1] + // N : an integer >= 0 + // P : a row vector with N+1 components and : + // + // P(k+1) = P(X=k) = C(k,N) (1-p)^k p^(N-k) + // + // Rewritten by Bruno for a gain in speed (by using + // cdfbin which computes the cumulative probability) + // + + rhs = argn(2); + if rhs <> 2 then + error(msprintf(gettext("%s: Wrong number of input argument(s): %d expected.\n"),"binomial", 2)); + end + + if type(p) ~= 1 then + error(msprintf(gettext("%s: Wrong type for input argument #%d: A real expected.\n"),"binomial",1)); + end + + if type(N) ~= 1 then + error(msprintf(gettext("%s: Wrong type for input argument #%d: An integer expected.\n"),"binomial",2)); + end + + if length(p) ~= 1 then + error(msprintf(gettext("%s: Wrong size for input argument #%d: A real expected.\n"),"binomial",1)); + end + + if length(N) ~= 1 then + error(msprintf(gettext("%s: Wrong size for input argument #%d: An integer expected.\n"),"binomial",2)); + end + + if p < 0 | p > 1 then + error(msprintf(gettext("%s: Wrong value for input argument #%d: Must be between %d and %d.\n"),"binomial",1,0,1)); + end + + if N < 1 | floor(N)-N ~= 0 then + error(msprintf(gettext("%s: Wrong value for input argument #%d: Integer >= %d expected.\n"),"binomial",2,1)); + end + + un = ones(1,N+1); + P = cdfbin("PQ", 0:N, N*un, p*un, (1-p)*un) + P(2:N+1) = P(2:N+1) - P(1:N) +endfunction |