ON BASIC RESULTS OF POINT PROCESS THEORY,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1970
- Accession Number
- AD0711345
Entities
People
- M. Ross Leadbetter
Organizations
- University of North Carolina at Chapel Hill