Integrated beta model for bathtub-shaped hazard rate data

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)229-240
Journal / PublicationQuality Technology and Quantitative Management
Volume13
Issue number3
Publication statusPublished - 2 Jul 2016

Link(s)

DOI

DOI
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Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-84978524994&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(f95cb24c-0607-4aba-a772-8dcfdf66595f).html

Abstract

In this paper, we introduce a new parametric distribution for modelling lifetime data with bathtub-shaped hazard rate, derived by representing the cumulative hazard as proportional to a generalized beta density. The distribution has a finite range, useful when there is a maximum possible lifetime, a common scenario when there are additional failure modes leading to failure after a certain time. Reliability and other distributional properties of the distribution are discussed. Parameter issues are also studied. The application of the model is illustrated by fitting the model to several data sets from the literature.

Research Area(s)

  • Generalized beta, lifetime data, probability distribution, reliability

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Publication fingerprints text

100
Hazard Rate Mathematics
50
Parametric Mathematics
50
Beta Density Mathematics
50
Failure Mode Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
Integrated beta model for bathtub-shaped hazard rate data. / Lai, Chin-Diew; Jones, Geoff; Xie, Min.
In: Quality Technology and Quantitative Management, Vol. 13, No. 3, 02.07.2016, p. 229-240.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review