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