Accession Number : AD0652492

Title :   ON THE RATE OF CONVERGENCE IN RENEWAL AND MARKOV RENEWAL PROCESSES,

Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s) : Teugels,Jozef L.

Report Date : JUN 1967

Pagination or Media Count : 97

Abstract : For the special case of a distribution function that tends to one exponentially fast, the three basic renewal theorems are proved by the same method. Moreover an estimate of the remainder term is obtained. This extends results of M. R. Leadbetter. Series expansions are obtained for the renewal function by using matrix methods. Similar methods apply equally well to the Psi-renewal moments. (Author)

Descriptors :   (*STATISTICAL PROCESSES, CONVERGENCE), (*PROBABILITY, *RANDOM VARIABLES), DISTRIBUTION FUNCTIONS, THEOREMS, FUNCTIONAL ANALYSIS, SERIES(MATHEMATICS), ALGEBRA, VECTOR ANALYSIS, REAL NUMBERS, QUEUEING THEORY

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE