Accession Number : AD0767967

Title :   Renewal Theory in Two Dimensions: Asymptotic Results.

Descriptive Note : Technical rept.,

Corporate Author : NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

Personal Author(s) : Hunter,Jeffrey J.

Report Date : MAY 1973

Pagination or Media Count : 33

Abstract : In an earlier paper (Renewal theory in two dimensions: Basic results) the author developed a unified theory for the study of bivariate renewal processes. In contrast to this aforementioned work where explicit expressions were obtained; the author develops some asymptotic results concerning the joint distribution of the bivariate renewal counting process ((N sub x)1, (N sub y)2); the distribution of the two dimensional renewal counting process N sub x,y and the two dimensional renewal function (N sub x,y). A by-product of the investigation is the study of the distribution and moments of the minimum of two correlated normal random variables. A comprehensive bibliography of multidimensional renewal theory is also appended. (Author)

Descriptors :   (*STATISTICAL PROCESSES, RANDOM VARIABLES), DISTRIBUTION FUNCTIONS, ASYMPTOTIC SERIES, CORRELATION TECHNIQUES, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE