JOURNAL ARTICLE
Bivariate POISSON Binomial Distributions
Ch. A. CharalambidesH. Papageorgiou
Year: 1981 Journal: Biometrical Journal Vol: 23 (5)Pages: 437-450 Publisher: Wiley
Abstract
Abstract Three bivariate generalizations of the POISSON binomial distribution are introduced. The probabilities, moments, conditional distributions and regression functions for these distributions are obtained in terms of bipartitional polynomials. Recurrences for the probabilities and moments are also given. Parameter estimators are derived using the methods of moments and zero frequencies and the three distributions are fitted to some ecological data.
Keywords:
Mathematics Bivariate analysis Negative binomial distribution Poisson distribution Poisson binomial distribution Zero-inflated model Statistics Estimator Conditional probability distribution Binomial distribution Applied mathematics Compound Poisson distribution Negative multinomial distribution Poisson regression Beta-binomial distribution Population
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2.88
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17
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0.96
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Citation History
Topics
Bayesian Methods and Mixture Models
Physical Sciences → Computer Science → Artificial Intelligence
Statistical Methods and Bayesian Inference
Physical Sciences → Mathematics → Statistics and Probability
Soil Geostatistics and Mapping
Physical Sciences → Environmental Science → Environmental Engineering
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