The Lindley Weibull Distribution: properties and applications


Cordeiro G. M. , Afify A. Z. , Yousof H. M. , ÇAKMAKYAPAN ERGÜLER S. , ÖZEL KADILAR G.

ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, cilt.90, ss.2579-2598, 2018

  • Cilt numarası: 90 Konu: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1590/0001-3765201820170635
  • Dergi Adı: ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS
  • Sayfa Sayısı: ss.2579-2598

Özet

We introduce a new three-parameter lifetime model called the Lindley Weibull distribution, which accommodates unimodal and bathtub, and a broad variety of monotone failure rates. We provide a comprehensive account of some of its mathematical properties including ordinary and incomplete moments, quantile and generating functions and order statistics. The new density function can be expressed as a linear combination of exponentiated Weibull densities. The maximum likelihood method is used to estimate the model parameters. We present simulation results to assess the performance of the maximum likelihood estimation. We prove empirically the importance and flexibility of the new distribution in modeling two data sets.