
Accession Number : AD0683322
Title : ON DISTRIBUTION FUNCTION  MOMENT RELATIONSHIPS IN A STATIONARY POINT PROCESS,
Corporate Author : NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS
Personal Author(s) : Leadbetter,Malcolm R. ; Serfling,Robert J.
Report Date : FEB 1969
Pagination or Media Count : 21
Abstract : Let G sub n (t) denote the distribution function for the time to the nth event in a stationary regular point process, and F sub n (t) the corresponding distribution function, conditional on an event having occurred 'at' t = 0. (i.e., F sub n (t) represents the distribution of the time from an 'arbitrary event' to the nth subsequent event). Let N(o, t) denote the number of events in (o, t). Relationships between the distribution functions G sub n, F sub n, and the moments (unconditional and conditional) of N(o, t) are obtained. Specifically, series are given for G sub n (t) in terms of factorial moments of N(o, t), and for F sub n (t) in terms of such moments, conditional on the occurrence of an event 'at' t = 0. (Author)
Descriptors : (*DISTRIBUTION FUNCTIONS, STOCHASTIC PROCESSES), DISTRIBUTION THEORY, COMBINATORIAL ANALYSIS, SERIES(MATHEMATICS), THEOREMS
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE