Superposition and decomposition of stationary point processes

A recursion formula is obtained by rearranging Lawrance's (1973) result concerning the superposition of independent stationary point processes for which there exist joint probability density functions for the intervals between successive points. When these component point processes are identica...

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Bibliographic Details
Published in:Journal of applied probability 1978-09, Vol.15 (3), p.481-493
Main Author: Ito, Yoshifusa
Format: Article
Language:English
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Summary:A recursion formula is obtained by rearranging Lawrance's (1973) result concerning the superposition of independent stationary point processes for which there exist joint probability density functions for the intervals between successive points. When these component point processes are identically distributed, the formula can in principle be inverted to describe their probability structure given that of the superposition process.
ISSN:0021-9002
1475-6072
DOI:10.1017/S002190020004585X