Accession Number:

AD0813017

Title:

REMARKS ON THE STRUCTURE OF STATIONARY POINT PROCESSES,

Descriptive Note:

Corporate Author:

NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS

Personal Author(s):

• Leadbetter, Malcolm R.

Report Date:

1967-03-01

Pagination or Media Count:

12.0

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 - Khintchines existence theorem for the intensity of the process, Korolyuks 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 Khintchines Theorem. Author

Descriptors:

• (*STATISTICAL PROCESSES
• THEOREMS)
• RANDOM VARIABLES
• PROBABILITY
• STOCHASTIC PROCESSES
• DISTRIBUTION FUNCTIONS

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE