The Pólya sum process: Limit theorems for conditioned random fields
arXiv:1201.4410 · doi:10.1007/s10959-012-0404-9
Abstract
In \cite{hZ09}, Zessin constructed the so-called Pólya 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 Pólya sum process as it was done for the Poisson process in \cite{hZ76}.