Accession Number : AD0676880

Title :   ON THE DISTRIBUTION OF THE LAST OCCURRENCE TIME IN AN INTERVAL FOR A REGENERATIVE PHENOMENON.

Descriptive Note : Technical rept.,

Corporate Author : NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

Personal Author(s) : Heyde,C. C.

Report Date : OCT 1968

Pagination or Media Count : 19

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)

Descriptors :   (*STOCHASTIC PROCESSES, STATISTICAL DISTRIBUTIONS), STATISTICAL PROCESSES, THEOREMS, SEQUENCES(MATHEMATICS), TIME

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE