REMARKS ON THE STRUCTURE OF STATIONARY POINT PROCESSES,

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)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1967
Accession Number
AD0813017

Entities

People

  • M. Ross Leadbetter

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Stationary

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.