A new three parameter transmuted Chen lifetime distribution with application

Khan, M, King, R and Hudson, I 2013, 'A new three parameter transmuted Chen lifetime distribution with application', Journal of Applied Statistical Science, vol. 21, no. 3, pp. 239-259.

Document type: Journal Article
Collection: Journal Articles

Title A new three parameter transmuted Chen lifetime distribution with application
Author(s) Khan, M
King, R
Hudson, I
Year 2013
Journal name Journal of Applied Statistical Science
Volume number 21
Issue number 3
Start page 239
End page 259
Total pages 21
Publisher Nova Science Publishers
Abstract This article deals with a new generalization of the Chen distribution called the transmuted Chen lifetime distribution. This distribution is capable of modelling bathtub-shaped instantaneous failure rate functions. The new transmuted lifetime distribution is developed using the quadratic rank transmutation map technique studied by Shaw et al. [23]. Various structural properties of the proposed model are derived including the explicit expressions for the moments, incomplete moments, moment generating function, Rényi entropy, mean deviation, Bonferroni and Lorenz curves and the moments of order statistics. We discuss the estimation of the parameters using maximum likelihood and obtain the expected information matrix. The potentiality of new model is illustrated based on the strengths glass of fibres data.
Subject Statistical Theory
Stochastic Analysis and Modelling
Keyword(s) Maximum likelihood Estimation
Moment estimation
Order statistics
Reliability functions
Copyright notice © Nova Science Publishers, Inc.
ISSN 1067-5817
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