A Reliability Distribution With Increasing, Decreasing, Constant and Bathtub-Shaped Failure Rates
作者:
Urban Hjorth,
期刊:
Technometrics
(Taylor Available online 1980)
卷期:
Volume 22,
issue 1
页码: 99-107
ISSN:0040-1706
年代: 1980
DOI:10.1080/00401706.1980.10486106
出版商: Taylor & Francis Group
关键词: Reliability distribution;Failure rate;Bathtub curve;Mixed distribution;Mixtures;Competing risks;Fisher's information matrix;Maximum likelihood estimation;Classified failures
数据来源: Taylor
摘要:
A distribution with one scale and two shape parameters is studied. The distribution can describe increasing (I), decreasing (D), constant and bathtub-shaped (B) failure rates. This motivates the working name, IDB distribution. The IDB distribution is motivated by mixtures of a set of IFR distributions but can also be given a competing risk interpretation. For mixed distributions a more general result on the initial slope of the failure rate is given. Asymptotic results for the ML estimation of survival probabilities are given, and when possible compared with ML estimation based on the Weibull, Rayleigh and exponential distributions. Also, the asymptotic gain from classifying failures into two categories is illustrated. One application to real data is given.
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