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

Probability 2012-02-27 v1

Abstract

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}.

Keywords

Cite

@article{arxiv.1201.4410,
  title  = {The P\'olya sum process: Limit theorems for conditioned random fields},
  author = {Mathias Rafler},
  journal= {arXiv preprint arXiv:1201.4410},
  year   = {2012}
}
R2 v1 2026-06-21T20:07:47.615Z