The Pólya sum process: Limit theorems for conditioned random fields

Mathematics – Probability

Scientific paper

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Scientific paper

10.1007/s10959-012-0404-9

In \cite{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 \cite{hZ76}.

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