A New Two-Parameter Lifetime Model

  • Haitham M.  Yousof
  • Mustafa Ç. KorkmazEmail author
  • Subhradev Sen


A new two parameter life time model, which accommodates increasing, decreasing, bathtub, and a broad variety of monotone failure rates, has been introduced in this article. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, moment of residual and reversed residual lives have been derived. The maximum likelihood has been proposed for estimating the model parameters. The importance and flexibility of the new distribution has been illustrated by means of an applications to real data set supported by a Monte-Carlo simulation study.


Weibull distribution xgamma distribution Maximum likelihood Lifetime data 



The authors would like to thank the editor and the anonymous referees for their careful reading of the article and for their valuable suggestions that have improved the paper.


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© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Statistics, Mathematics and InsuranceBenha UniversityBenhaEgypt
  2. 2.Department of Measurement and EvaluationArtvin Çoruh UniversityArtvinTurkey
  3. 3.Alliance School of BusinessAlliance UniversityBengaluruIndia

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