Premium
Some computational problems related to multinomial trials
Author(s) -
Neuts Marcel F.,
Carson Charles C.
Publication year - 1975
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315282
Subject(s) - multinomial distribution , selection (genetic algorithm) , mathematics , computer science , statistics , econometrics , mathematical optimization , artificial intelligence
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 i j times is computed. The multinomial trials involve the m alternatives l,…, m, with positive probabilities P l ‐P m of occurrence. In the second part, several aspects of a multinomial subset selection problem, discussed by S. S. Gupta and K. Nagel, are investigated.