Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Transmuted new generalized Weibull distribution for lifetime modeling

  • Khan, Muhammad Shuaib (School of Mathematical and Physical Sciences, The University of Newcastle) ;
  • King, Robert (School of Mathematical and Physical Sciences, The University of Newcastle) ;
  • Hudson, Irene Lena (School of Mathematical and Physical Sciences, The University of Newcastle)
  • Received : 2016.04.10
  • Accepted : 2016.09.09
  • Published : 2016.09.30
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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.

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