Sankhya: The Indian Journal of Statistics

1997, Volume 59, Series B, Pt. 3, 261-276

MULTIVARIATE CLUSTER-SUM DISTRIBUTIONS

By

GAVIN G. GREGORY, University of Texas at El Paso, Texas

SUMMARY. A family of discrete multivariate Poisson-stopped-sum distributions is studied. Associations are non-negative and univariate marginal distributions can be any specified collection of univariate Poisson-stopped sum distributions. Theoretical and numerical results are given when marginal distributions are chosen from: the negative binomial, the Neyman Type A, the Polya-Aeppli, the Lagrangian Poisson, and the Poisson.

AMS (1991) subject classification. 62E15, 62C10

Key words and phrases. Poisson-stopped-sum distribution, multivariate Poisson, negative binomial, Neyman type A, Polya-Aeppli, Lagrangian Poisson

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