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A record-values property of a renewal process with random inspection time

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  • Kamps, Udo
  • Rauwolf, Diana

Abstract

Within renewal processes, Liberman (1985) characterized a homogeneous Poisson process via the so-called order-statistics property. This result is generalized and, for renewal processes with a random inspection time, a related characterization is shown by means of a record-values property. The structure of the conditional joint distribution of the first n occurrence times of a renewal process given n occurrences up to a random time is studied, and several examples along with respective cross-references are given.

Suggested Citation

  • Kamps, Udo & Rauwolf, Diana, 2023. "A record-values property of a renewal process with random inspection time," Statistics & Probability Letters, Elsevier, vol. 195(C).
    • Handle: RePEc:eee:stapro:v:195:y:2023:i:c:s0167715223000093
    DOI: 10.1016/j.spl.2023.109785
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    References listed on IDEAS

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