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Weibull renewal processes

  • Nikos Yannaros
Process

Abstract

We study the class of renewal processes with Weibull lifetime distribution from the point of view of the general theory of point processes. We investigate whether a Weibull renewal process can be expressed as a Cox process. It is shown that a Weibull renewal process is a Cox process if and only if 0<α≤1, where α denotes the shape parameter of the Weibull distribution. The Cox character of the process is analyzed. It is shown that the directing measure of the process is continuous and singular.

Key words and phrases

Weibull renewal process point process Cox process 

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Copyright information

© The Institute of Statistical Mathematics 1994

Authors and Affiliations

  • Nikos Yannaros
    • 1
  1. 1.Department of StatisticsUniversity of StockholmStockholmSweden

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