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Local behaviour of the remainder in Renewal theory

Probability 2023-01-24 v1

Abstract

Several terms in an asynptotic estimate for the renewal mass function ina discrete random walk which has positive mean and regularly varying right-hand tail are given. Similar results are given for the renewal density function in the absolutely continuous case.

Keywords

Cite

@article{arxiv.2301.09593,
  title  = {Local behaviour of the remainder in Renewal theory},
  author = {Ron Doney},
  journal= {arXiv preprint arXiv:2301.09593},
  year   = {2023}
}

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16 pages