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Is the dying individual the oldest?

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  • Rolski, Tomasz
  • Ryll-Nardzewski, Czeslaw

Abstract

Consider a population in which the birth times are a Poisson process with rate [gamma] lifetimes are independent and identically distributed and lifetimes are independent of the birth process. In the paper we provide methods for calculation of several quantities involving the oldest member (senior) of the population. In particular we study the senior's age process and the point process of seniors' deaths obtained by dependent thinning of a Poisson process.

Suggested Citation

  • Rolski, Tomasz & Ryll-Nardzewski, Czeslaw, 1987. "Is the dying individual the oldest?," Stochastic Processes and their Applications, Elsevier, vol. 24(1), pages 133-142, February.
    • Handle: RePEc:eee:spapps:v:24:y:1987:i:1:p:133-142
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