A new family of point processes which are characterized by their second moment properties

1 August 1970

journal article
Published by Cambridge University Press (CUP) in Journal of Applied Probability

Vol. 7 (2) , 338-358
https://doi.org/10.2307/3211969

Abstract

The most widely used probabilistic model of a series of “events” occurring randomly in a time or space continuum is the Poisson process. It is the proper basis for statistical analysis when general information about the rate of occurrence of events is the primary purpose of an investigation, or when the assumption of independent occurrences is reasonable and valid. A unified treatment of the statistical methods for estimating parameters in stationary and non-stationary Poisson models, and tests of the Poisson assumption against various alternatives, is contained in the lucid monograph by Cox and Lewis [6].

Keywords

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