ON THE DISTRIBUTION OF THE LAST OCCURRENCE TIME IN AN INTERVAL FOR A REGENERATIVE PHENOMENON.
Abstract
Let (E(t), t>0) be a family of regenerative events, as originally introduced by Kingman, and let Z(t, omega) = 1 if omega is a member of E(t) and be zero otherwise. Define T sub t = sup(u : o < or = u < or = t; Z(u, omega = 1). This paper obtains various theorems about T sub t and studies its limiting behavior as t approaches infinity. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1968
- Accession Number
- AD0676880
Entities
People
- C. C. Heyde
Organizations
- University of North Carolina at Chapel Hill