Accession Number : AD0813017

Title :   REMARKS ON THE STRUCTURE OF STATIONARY POINT PROCESSES,

Corporate Author : NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS

Personal Author(s) : Leadbetter, Malcolm R.

Report Date : MAR 1967

Pagination or Media Count : 12

Abstract : In the report the analytical approach of Khintchine is used in defining a basic structure for stationary point processes. The main section consists of a simple unified treatment of three important theorems - Khintchine's existence theorem for the intensity of the process, Korolyuk's Theorem, and a fundamental lemma of Dobrushin. It is also shown how the proof of the existence of certain other limits of basic importance, may be deduced by means of Khintchine's Theorem. (Author)

Descriptors :   (*STATISTICAL PROCESSES, THEOREMS), RANDOM VARIABLES, PROBABILITY, STOCHASTIC PROCESSES, DISTRIBUTION FUNCTIONS.

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE