Accession Number : AD0636744

Title :   INFINITELY DIVISIBLE POINT PROCESSES IN RN.

Descriptive Note : Technical rept.

Corporate Author : HARVARD UNIV CAMBRIDGE MASS DEPT OF STATISTICS

Personal Author(s) : Goldman, JAY R.

Report Date : 04 MAY 1966

Pagination or Media Count : 24

Abstract : Recent work on infinitely divisible point processes on the line is generalized to Rn. Two special classes of infinitely divisible point processes, regular and singular processes, are singled out by dependency relations among disjoint sets of Rn. Every stationary infinitely divisible point process is the superposition of a regular and a singular process and all regular processes can be realized as Poisson cluster processes. (Author)

Descriptors :   (*STOCHASTIC PROCESSES, *DISTRIBUTION THEORY), MEASURE THEORY

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE