The present paper provides new characterizations of homogeneous Poisson processes and of mixed Poisson processes. These characterizations are given interms of the multinomial property. This property is of interest since the finite–dimensional distributions of a claim number process having the multinomial property are completely determined by its one–dimensional distributions, and it is also convenient for statistical purposes since it does not involve any parameters.
Dieser Datensatz wurde nicht während einer Tätigkeit an der Universität Mannheim veröffentlicht, dies ist eine Externe Publikation.
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