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Intuitive approximations in discrete renewal theory, Part 1: Regularly varying case

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  • Omey, Edward
  • Van Gulck, Stefan

Abstract

It is usually impossible to find explicit expressions for the renewal sequence. This paper presents a simple method to approximate the renewal sequence, which covers many of the known approximations. The paper uses the ideas of Mitov and Omey (2014).

Suggested Citation

  • Omey, Edward & Van Gulck, Stefan, 2015. "Intuitive approximations in discrete renewal theory, Part 1: Regularly varying case," Statistics & Probability Letters, Elsevier, vol. 104(C), pages 68-74.
    • Handle: RePEc:eee:stapro:v:104:y:2015:i:c:p:68-74
    DOI: 10.1016/j.spl.2015.05.002
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    References listed on IDEAS

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    1. Ney, Peter, 1981. "A refinement of the coupling method in renewal theory," Stochastic Processes and their Applications, Elsevier, vol. 11(1), pages 11-26, March.
    2. de Haan, L. & Resnick, S., 1987. "On regular variation of probability densities," Stochastic Processes and their Applications, Elsevier, vol. 25, pages 83-93.
    3. Mitov, Kosto V. & Omey, Edward, 2014. "Intuitive approximations for the renewal function," Statistics & Probability Letters, Elsevier, vol. 84(C), pages 72-80.
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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.

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