A new lifetime model with different types of failure rate

Tafakori, L, Pourkhanali, A and Nadarajah, S 2018, 'A new lifetime model with different types of failure rate', Communications in Statistics: Theory and Methods, vol. 47, no. 16, pp. 4006-4020.


Document type: Journal Article
Collection: Journal Articles

Title A new lifetime model with different types of failure rate
Author(s) Tafakori, L
Pourkhanali, A
Nadarajah, S
Year 2018
Journal name Communications in Statistics: Theory and Methods
Volume number 47
Issue number 16
Start page 4006
End page 4020
Total pages 15
Publisher Taylor & Francis
Abstract 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.
Subject Probability Theory
Statistical Theory
Applied Statistics
Keyword(s) Lifetime distribution
Maximum likelihood estimation
Survival function
Weibull distribution
DOI - identifier 10.1080/03610926.2017.1367811
Copyright notice © 2018 Taylor & Francis Group, LLC
ISSN 0361-0926
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