Accession Number : AD0711345

Title :   ON BASIC RESULTS OF POINT PROCESS THEORY,

Corporate Author : NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

Personal Author(s) : Leadbetter,Malcolm R.

Report Date : JUN 1970

Pagination or Media Count : 31

Abstract : Basic results of point process theory (such as Khintchine's theorem, Korolyuk's theorem, Dobrushin's lemma) are discussed in a general setting. The treatment is based on an approach of Belayev, with emphasis on simplicity of proof. Palm distributions for stationary point processes on the real line are discussed (in essence along lines developed by Matthes) with particular reference to their expression as limits of conditional probabilities. A simple technique is used to prove known and obtain further results. (Author)

Descriptors :   (*STOCHASTIC PROCESSES, THEORY), MEASURE THEORY, PROBABILITY, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE