Asymptotic properties of absolutely continuous functions and strong laws of large numbers for renewal processes

Buldygin, V.; Klesov, O.; Steinebach, J.

doi:10.1090/S0094-9000-2014-00900-X

Asymptotic properties of absolutely continuous functions and strong laws of large numbers for renewal processes

Authors: V. V. Buldygin, O. I. Klesov and J. G. Steinebach
Translated by: The authors
Journal: Theor. Probability and Math. Statist. 87 (2013), 1-12
MSC (2010): Primary 26A12; Secondary 26A48
DOI: https://doi.org/10.1090/S0094-9000-2014-00900-X
Published electronically: March 21, 2014
MathSciNet review: 3241442
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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, strong laws of large numbers for renewal processes constructed from compound counting processes are studied. In particular, a strong law of large numbers is proved for renewal processes constructed from compound Poisson processes with absolutely continuous rate functions.

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