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

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.

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Year of publication:	1993
Authors:	Chukova, Stefanka ; Dimitrov, Boyan ; Garrido, José
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 17.1993, 1, p. 19-25
Publisher:	Elsevier
Keywords:	Non-stationary Poisson process characterization theorem failure rate function risk theory

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005223358