The P\'olya sum process: Limit theorems for conditioned random fields

Abstract

In hZ09, Zessin constructed the so-called P\'olya sum process via partial integration technique. This process shares some important properties with the Poisson process such as complete randomness and infinite divisibility. This work discusses H-sufficient statistics for the P\'olya sum process as it was done for the Poisson process in hZ76.

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