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Characterizations of Continuous Binomial and Negative Binomial Mixtures
Author(s) -
Papageorgiou H.
Publication year - 1984
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710260720
Subject(s) - negative binomial distribution , mathematics , mixing (physics) , beta negative binomial distribution , binomial distribution , binomial regression , statistics , binomial (polynomial) , negative multinomial distribution , continuity correction , beta binomial distribution , regression analysis , physics , poisson distribution , quantum mechanics
Characterizations are given for binomial ( n , ϑ) and negative binomial ( k , ϑ) mixtures in terms of the regression function of the mixing random variable Y on the mixture variable X. In both cases Y is the parameter ϑ and the mixing distribution is a continuous distribution on (0, 1) and on (0, ∞) respectively. Biological applications are indicated.