
AbstractThree 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.
conditional distributions, bipartitional polynomials, method of moments, recurrences, ecological data, Point estimation, regression functions, moments, Exact distribution theory in statistics, method of zero frequencies, Multivariate distribution of statistics, generalizations
conditional distributions, bipartitional polynomials, method of moments, recurrences, ecological data, Point estimation, regression functions, moments, Exact distribution theory in statistics, method of zero frequencies, Multivariate distribution of statistics, generalizations
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