Accession Number : ADA186017

Title :   Point Processes in the Plane.

Descriptive Note : Technical rept. Oct 86-Sep 87,

Corporate Author : NORTH CAROLINA UNIV AT CHAPEL HILL CENTER FOR STOCHASTIC PROCESSES

Personal Author(s) : Merzbach, Ely

PDF Url : ADA186017

Report Date : Feb 1987

Pagination or Media Count : 40

Abstract : Two-parameter point processes are studied in connection with martingale theory and with respect to the partial-order induced by the Cartesian coordinates of the plane. Point processes are characterized by jump stopping times and by their two-parameter compensators. Properties of the doubly stochastic Poisson process, as predictability, are discussed. A definition for the Palm measure of a two-parameter stationary point process is proposed.

Descriptors :   *POINTS(MATHEMATICS), *STOCHASTIC PROCESSES, CARTESIAN COORDINATES, COMPENSATORS, PARAMETERS, POISSON EQUATION, STATIONARY, STOPPING

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE