A Key Renewal Theorem for Heavy Tail Distributions with ${\beta\in(0,0.5]}

An asymptotic behavior of increments of the renewal functions generated by the distributions with tails varying at $\pm\infty$ regularly with index $\beta \in (0,0.5]$ is investigated. [PUBLICATION ABSTRACT]

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Bibliographic Details
Published in:Theory of probability and its applications 2014-04, Vol.58 (2), p.333-342
Main Authors: Vatutin, V., Topchii, V.
Format: Article
Language:English
Subjects:
Applied mathematics
Control theory
Investigations
Random variables
Validity
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Description
Summary:An asymptotic behavior of increments of the renewal functions generated by the distributions with tails varying at $\pm\infty$ regularly with index $\beta \in (0,0.5]$ is investigated. [PUBLICATION ABSTRACT]
ISSN:0040-585X
1095-7219
DOI:10.1137/S0040585X97986564