Accession Number : AD0693627

Title :   ON CERTAIN RESULTS FOR STATIONARY POINT PROCESSES AND THEIR APPLICATION,

Corporate Author : NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

Personal Author(s) : Leadbetter,Malcolm R.

Report Date : MAY 1969

Pagination or Media Count : 24

Abstract : The purpose of this report is to describe some viewpoints and certain recent results of point process theory, and their application. Section 2 contains series expressions for the distribution of the times between events both when measurement is made from a fixed time, and from an 'arbitrary event' of the process. Relations between these series are also discussed. (These results were obtained in collaboration with R. J. Serfling.) Section 3 concerns applications, particularly to zero-crossings problems. In Section 4, the method of defining a stationary point process by means of a stationary sequence of non negative random variables (due to Kaplan) is discussed and related to the previously described framework. Section 5 deals with the approximation of stationary point processes consisting of rare events by Poisson processes. (Author)

Descriptors :   (*STATISTICAL PROCESSES, PROBLEM SOLVING), STOCHASTIC PROCESSES, STATISTICAL DISTRIBUTIONS, DISTRIBUTION FUNCTIONS, APPROXIMATION(MATHEMATICS), SERIES(MATHEMATICS)

Subject Categories : Statistics and Probability
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE