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- W2076221422 abstract "Failure data are often modeled using continuous distributions. However, a discrete distribution can be appropriate for modeling interval or grouped data. When failure data come from a complex system, a simple discrete model can be inappropriate for modeling such data. This paper presents two types of discrete distributions. One is formed by exponentiating an underlying distribution, and the other is a two-fold competing risk model. The paper focuses on two special distributions: (a) exponentiated Poisson distribution and (b) competing risk model involving a geometric distribution and an exponentiated Poisson distribution. The competing risk model has a decreasing-followed-by-unimodal mass function and a bathtub-shaped failure rate. Five classical data sets on bus-motor failures can be simultaneously and appropriately fitted by a general 5-parameter competing risk model with the parameters being functions of the number of successive failures. The lifetime and aging characteristics of the fitted distribution are analyzed." @default.
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- W2076221422 date "2010-09-01" @default.
- W2076221422 modified "2023-09-26" @default.
- W2076221422 title "Discrete competing risk model with application to modeling bus-motor failure data" @default.
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- W2076221422 doi "https://doi.org/10.1016/j.ress.2010.04.009" @default.
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