The behavior of the renewal sequence in case the tail of the waiting-time distribution is regularly varying with index −1
- 1 December 1982
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 14 (4) , 870-884
- https://doi.org/10.2307/1427028
Abstract
A second-order asymptotic result for the probability of occurrence of a persistent and aperiodic recurrent event is given if the tail of the distribution of the waiting time for this event is regularly varying with index −1.Keywords
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