Characterizations of multiparameter Cox and Poisson processes by the renewal property

Ely Merzbach and Yair Y. Shaki

Statistics & Probability Letters, 2008, vol. 78, issue 6, 637-642

Abstract: In the first part of this paper, we give two characterizations of the multiparameter Poisson process: one characterization of the Poisson process uses the renewal property in the space , and the other characterization uses the exponential distributions of random areas of rectangles. Finally, we obtain a partial generalization of a characterization of the random measure associated with a renewal Cox process from R+ to .

Keywords: Multi-parameter; renewal; process; Poisson; process; Cox; process (search for similar items in EconPapers)
Date: 2008
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