- Title
- Transmuted new generalized Weibull distribution for lifetime modeling
- Creator
- Khan, Muhammad Shuaib; King, Robert; Hudson, Irene Lena
- Relation
- Communications for Statistical Applications and Methods Vol. 23, Issue 5, p. 363-383
- Publisher Link
- http://dx.doi.org/10.5351/CSAM.2016.23.5.363
- Publisher
- Korean Statistical Society
- Resource Type
- journal article
- Date
- 2016
- Description
- 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
- new generalized Weibull distribution; moment estimation; entropies; order statistics; maximum likelihood estimation
- Identifier
- http://hdl.handle.net/1959.13/1344440
- Identifier
- uon:29421
- Identifier
- ISSN:2287-7843
- Language
- eng
- Reviewed
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