ON CERTAIN RESULTS FOR STATIONARY POINT PROCESSES AND THEIR APPLICATION,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1969
- Accession Number
- AD0693627
Entities
People
- M. Ross Leadbetter
Organizations
- University of North Carolina at Chapel Hill