A new lifetime model with different types of failure rate

A new class of lifetime distributions, which can exhibit with upside-down bathtub-shaped, bathtub-shaped, decreasing, and increasing failure rates, is introduced. The new distribution is constructed by compounding generalized Weibull and logarithmic distributions, leading to improvement on the lifet...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2018-08, Vol.47 (16), p.4006-4020
Main Authors: Tafakori, Laleh, Pourkhanali, Armin, Nadarajah, Saralees
Format: Article
Language:English
Subjects:
Failure rates
Fisher information
Maximum likelihood estimation
Maximum likelihood method
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Summary:A new class of lifetime distributions, which can exhibit with upside-down bathtub-shaped, bathtub-shaped, decreasing, and increasing failure rates, is introduced. The new distribution is constructed by compounding generalized Weibull and logarithmic distributions, leading to improvement on the lifetime distribution considered in Dimitrakopoulou et al. (2007) by having no restriction on the shape parameter and extending the result studied by Tahmasbi and Rezaei (2008) in the general form. The proposed model includes the exponential-logarithmic and Weibull-logarithmic distributions as special cases. Various statistical properties of the proposed class are discussed. Furthermore, estimation via the maximum likelihood method and the Fisher information matrix are discussed. Applications to real data demonstrate that the new class of distributions is more flexible than other recently proposed classes.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2017.1367811