Transmuted new generalized Weibull distribution for lifetime modeling

Khan, M, King, R and Hudson, I 2016, 'Transmuted new generalized Weibull distribution for lifetime modeling', Communications for Statistical Applications and Methods, vol. 23, no. 5, pp. 363-383.

Document type: Journal Article
Collection: Journal Articles

Title Transmuted new generalized Weibull distribution for lifetime modeling
Author(s) Khan, M
King, R
Hudson, I
Year 2016
Journal name Communications for Statistical Applications and Methods
Volume number 23
Issue number 5
Start page 363
End page 383
Total pages 21
Publisher Korean Statistical Society
Abstract The Weibull family of lifetime distributions play a fundamental role in reliability engineering and life testing problems. This paper investigates the potential usefulness of transmuted new generalized Weibull (TNGW) distribution for modeling lifetime data. This distribution is an important competitive model that contains twenty-three lifetime distributions as special cases. We can obtain the TNGW distribution using the quadratic rank transmutation map (QRTM) technique. We derive the analytical shapes of the density and hazard functions for graphical illustrations. In addition, we explore some mathematical properties of the TNGW model including expressions for the quantile function, moments, entropies, mean deviation, Bonferroni and Lorenz curves and the moments of order statistics. The method of maximum likelihood is used to estimate the model parameters. Finally the applicability of the TNGW model is presented using nicotine in cigarettes data for illustration.
Subject Stochastic Analysis and Modelling
Statistical Theory
Keyword(s) new generalised Weibull distribution
moment estimation
order statistics
maximum likelihood estimation
DOI - identifier 10.5351/CSAM.2016.23.5.363
Copyright notice © 2016 Korean Statistical Society, and Korean International Statistical Society. All rights reserved.
ISSN 2383-4757
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