Open AccessTransmuted new generalized Weibull distribution for lifetime modeling
Author(s) -
Muhammad Shuaib Khan,
Robert King,
Irene L. Hudson
Publication year - 2016
Publication title -
communications for statistical applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.326
H-Index - 6
eISSN - 2383-4757
pISSN - 2287-7843
DOI - 10.5351/csam.2016.23.5.363
Subject(s) - weibull distribution , mathematics , exponentiated weibull distribution , order statistic , quantile , statistics , quantile function , lorenz curve , log logistic distribution , probability density function , moment generating function , cumulative distribution function , mathematical analysis , gini coefficient , economic inequality , inequality
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
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