Renewal and nonhomogeneous Poisson processes generated by distributions with periodic failure rate

Stefanka Chukova, Boyan Dimitrov and José Garrido

Statistics & Probability Letters, 1993, vol. 17, issue 1, 19-25

Abstract: Two renewal processes, known in reliability maintenance as minimal repair and replacement policy, are considered. Their properties are studied in the case where the generating random sequence has a distribution with periodic failure rate. A characterization theorem establishes necessary and sufficient conditions for a non-stationary Poisson process to have a periodic failure rate. Applications in risk theory are shown.

Keywords: Non-stationary; Poisson; process; characterization; theorem; failure; rate; function; risk; theory (search for similar items in EconPapers)
Date: 1993
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