Accession Number : ADA187151

Title :   Characterization of Nonhomogeneous Poisson Processes Via Moment Conditions.

Descriptive Note : Technical rept.,

Corporate Author : PITTSBURGH UNIV PA DEPT OF MATHEMATICS AND STATISTICS

Personal Author(s) : Fang, Zhaoben

PDF Url : ADA187151

Report Date : Aug 1986

Pagination or Media Count : 20

Abstract : Poisson processes play an important role in many fields. The Poisson process is one of the simplest counting processes and is a building block for many other processes, especially for general independent increment processes. Many definitions have been given for a counting process to be a Poisson process and many papers have appeared dealing with characterizations for the Poisson distribution and the Poisson process. Among the qualitative conditions defining a Poisson process, independent increments is one of the most important conditions. In this paper we attempt to use other conditions in place of independent increments. This provides a somewhat different viewpoint for examining Poisson processes. In addition, new characterizations for the nonhomogeneous Poisson process via moment conditions are obtained which might be easier to utilize in practice.

Descriptors :   *COUNTING METHODS, *POISSON DENSITY FUNCTIONS, DISTRIBUTION, INTERVALS, MOMENTS, POISSON EQUATION

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE