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Regular variation in renewal and Markov renewal theory

Published online by Cambridge University Press:  01 July 2016

Jozef L. Teugels
Jozef L. Teugels*
Affiliation:
Catholic University of Louvain
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Abstract

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Type
Second conference on stochastic processes and applications
Information
Advances in Applied Probability , Volume 5 , Issue 1 , April 1973 , pp. 30 - 31
Copyright
Copyright © Applied Probability Trust 1973 

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References

[1] Callaert, H. and Cohen, J. W. (1972) A lemma on regular variation of a transient renewal function. Z. Warscheinlichkeitsth. 24, 275–278.Google Scholar
[2] Erickson, K. B. (1970) Strong renewal theorems with infinite mean. Trans. Amer. Math. Soc. 151, 263–291.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, 22–27.Google Scholar
[4] Teugels, J. L. (1970) Regular variation of Markov renewal functions. J. London Math. Soc. 2, 179–190.Google Scholar
[5] Yackel, J. (1956) Limit theorems for semi-Markov processes. Trans. Amer. Math. Soc. 123, 402–424.Google Scholar