Characterizations of Continuous Binomial and Negative Binomial Mixtures | Zendy

Papageorgiou H. | Zendy

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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.

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