Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-09T15:09:34.699Z Has data issue: false hasContentIssue false

Regular variation in renewal and Markov renewal theory

Published online by Cambridge University Press:  01 July 2016

Jozef L. Teugels*
Affiliation:
Catholic University of Louvain

Abstract

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Second conference on stochastic processes and applications
Copyright
Copyright © Applied Probability Trust 1973 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Callaert, H. and Cohen, J. W. (1972) A lemma on regular variation of a transient renewal function. Z. Warscheinlichkeitsth. 24, 275278.Google Scholar
[2] Erickson, K. B. (1970) Strong renewal theorems with infinite mean. Trans. Amer. Math. Soc. 151, 263291.Google Scholar
[3] Prizva, G. I. (1972) A limit theorem for semi-Markov processes. Dopovidi. Akad. Nauk. Ukrain. RSR Ser. A. (1968), 820–824. Selected Transl. Math. Statist. Prob. 10, 2227.Google Scholar
[4] Teugels, J. L. (1970) Regular variation of Markov renewal functions. J. London Math. Soc. 2, 179190.Google Scholar
[5] Yackel, J. (1956) Limit theorems for semi-Markov processes. Trans. Amer. Math. Soc. 123, 402424.Google Scholar