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

Stefanka Chukova; Boyan N. Dimitrov; José Garrido

doi:10.1016/0167-7152(93)90189-P

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

Stefanka Chukova, Boyan N. Dimitrov, José Garrido

Kettering University

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Statistics and Probability Letters
Volume	17
DOIs	https://doi.org/10.1016/0167-7152(93)90189-P
State	Published - May 3 1993

Disciplines

Mathematics

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title = "Renewal and nonhomogeneous Poisson processes generated by distributions with periodic failure rate",

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. ",

author = "Stefanka Chukova and Dimitrov, \{Boyan N.\} and Jos{\'e} Garrido",

year = "1993",

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AU - Chukova, Stefanka

AU - Dimitrov, Boyan N.

AU - Garrido, José

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Y1 - 1993/5/3

N2 - 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.

AB - 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.

UR - https://doi.org/10.1016/0167-7152(93)90189-P

U2 - 10.1016/0167-7152(93)90189-P

DO - 10.1016/0167-7152(93)90189-P

M3 - Article

VL - 17

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

ER -

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

Abstract

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