Renewal Theory in Two Dimensions: Asymptotic Results.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1973
- Accession Number
- AD0767967
Entities
People
- Jeffrey J. Hunter
Organizations
- University of North Carolina at Chapel Hill