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Simple and elegant derivations for some asymptotic results in the discrete-time renewal process

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  • Chaudhry, Mohan
  • Fisher, Brent

Abstract

A simple and elegant solution to determine the asymptotic results for the renewal density as well as for the first and second moments of the number of renewals for the discrete-time renewal process is presented. Using generating functions, the difficult-to-determine constant term in the second moment is also addressed.

Suggested Citation

  • Chaudhry, Mohan & Fisher, Brent, 2013. "Simple and elegant derivations for some asymptotic results in the discrete-time renewal process," Statistics & Probability Letters, Elsevier, vol. 83(1), pages 315-319.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:1:p:315-319
    DOI: 10.1016/j.spl.2012.09.021
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    Cited by:

    1. Hadjicostas, Petros, 2019. "Generalizations of the arithmetic case of Blackwell’s renewal theorem," Statistics & Probability Letters, Elsevier, vol. 149(C), pages 124-131.
    2. Mohamed Larbi Rebaiaia & Daoud Ait-kadi & Afshin Jamshidi, 2017. "Periodic replacement strategies: optimality conditions and numerical performance comparisons," International Journal of Production Research, Taylor & Francis Journals, vol. 55(23), pages 7135-7152, December.

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