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slib_lang_exists_tmp=yes
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slib_lang_exists_tmp=yes
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slib_title=Generation of multinomial random data
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slib_title=Generation of multinomial random data
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slib_out=Random data of <tt>m</tt> integers following a multinomial law of parameters \
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slib_out=Random data of <tt>m</tt> integers following a multinomial law of parameters \
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<tt>n</tt> and p=[p_1,...,p_j] (n is an integer and p_i are positive reals of sum <= 1; \
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<tt>n</tt> and p=[p1,...,pj] (n is an integer and pi are positive reals of sum <= 1; \
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if the sum of the p_i is less than 1, 1-sum(p_i) is add to the list.
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if the sum of the pi is less than 1, 1-sum(pi) is add to the list.
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slib_comment= P(X1=k1,X2=k2,..)=n
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slib_comment= If p1+...+pj=1,\
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 P(X1=k1,X2=k2,..,Xj=kj)=(p1)^k1*...*(pj)^kj*n!/(k1!...kj!)\
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 for all ki so that k1+...+kj=n