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2011•Advances and Applications in StatisticsRequires access

The poisson-weibull distribution

Estela Maris Pereira Bereta, Franscisco Louzada, Maria Aparecida de Paiva Franco

Open publisher page 16 citations

Abstract

This work proposes a new three parameters lifetime distribution with which can accommodate data in a context of competing risks. Its hazard function may assume several forms such as increasing, decreasing, bathtub upside-down, among others. Expressions are derived in closed form for the survival, probability density and hazard functions, for the moments, order statistics and quantiles. Estimation is based on maximum likelihood. The methodology is illustrated on a real data set.

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What this paper is about

This work proposes a new three parameters lifetime distribution with which can accommodate data in a context of competing risks. Its hazard function may assume several forms such as increasing, decreasing, bathtub upside-down, among others. Expressions are derived in closed form for the survival, probability density and hazard functions, for the moments, order statistics and quantiles. Estimation is based on maximum likelihood. The methodology is illustrated on a real data set.

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OpenAlex reports 16 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This work proposes a new three parameters lifetime distribution with which can accommodate data in a context of competing risks. Its hazard function may assume several forms such as increasing, decreasing, bathtub upside-down, among others. Expressions are derived in closed form for the survival, probability density and hazard functions, for the moments, order statistics and quantiles. Estimation is based on maximum likelihood. The methodology is illustrated on a real data set.

Key concepts: Weibull distribution, Bathtub, Order statistic, Quantile, Poisson distribution, Hazard, Context (archaeology), Statistics

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