Renewal Processes Generated by Distributions with Periodic Failure Rates

Authors
Chukova, Stefanka Dimitrov, Boyan Garrido, José
Citation
Chukova, Stefanka et al., Renewal Processes Generated by Distributions with Periodic Failure Rates, Actuarial research clearing house ARCH;A.R.C.H. , 1(1), 1993, pp. 83-96
Journal title
Actuarial research clearing house ARCH;A.R.C.H. → ACNP
ISSN journal
07325428
Volume
1
Issue
1
Year of publication
1993
Pages
83 - 96
Database
ACNP
SICI code
Abstract
Two renewal processes, known in reliability maintenance as minimal repair and replacement policy, are introduced. Their properties are studied in tyhe 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 faqilure rate. Applications in risk theory are shown