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Superposition and decomposition of stationary point processes

Published online by Cambridge University Press:  14 July 2016

Yoshifusa Ito
Yoshifusa Ito*
Affiliation:
Nagoya University
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Abstract

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.

Keywords

STATIONARY POINT PROCESSRENEWAL PROCESSSUPERPOSITION OF POINT PROCESSESDECOMPOSITION OF POINT PROCESSJOINT DISTRIBUTION OF INTEREVENT INTERVALSSURVIVOR FUNCTIONBI-DIRECTIONAL SURVIVOR FUNCTION
Type
Research Papers
Information
Journal of Applied Probability , Volume 15 , Issue 3 , September 1978 , pp. 481 - 493
Copyright
Copyright © Applied Probability Trust 1978 

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References

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