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Some computational problems related to multinomial trials
Authors:Marcel F Neuts  Charles C Carson
Abstract:Efficient numerical algorithms are developed to evaluate several probabilities related to multinomial trials.In the first part of the paper, the probability distribution of the number of trials until the alternatives j, j = 1,… m, have occurred at least ij times is computed. The multinomial trials involve the m alternatives l,…, m, with positive probabilities Pl-Pm of occurrence. In the second part, several aspects of a multinomial subset selection problem, discussed by S. S. Gupta and K. Nagel, are investigated.
Keywords:Multinomial trials  computational problems  several alternatives  positive probabilities  
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