A New Generalized Weighted Exponential Distribution: Properties and Applications


  • Salman Abbas Department of Statistics, COMSATS University Islamabad, Lahore Capmus, Pakistan
  • Saira Zaniab chool of Electrical Engineering and Computer Science, National University of Science and Technology, Islamabad, Pakistan
  • Obaidullah Mehmood Department of Mathematics, COMSATS University Islamabad, Wah Capmus, Pakistan
  • Gamze Ozal Department of Statistics, Hacettepe University, Ankara, Turkey
  • Gamze Ozal Department of Statistics, Hacettepe University, Ankara, Turkey
  • Muhammad Qaiser Shahbaz Department of Statistics,King Abdulaziz University, Jeddah, Kingdom of Saudi Arabia


Maximum likelihood, moment, order statistics, quantile function, reliability analysis


This paper presents a new generalization of the weighted Exponential distribution using exponentiated generalized class of distributions. The proposed model has the influence as special cases the exponential, exponentiated exponential, exponentiated generalized exponential, and among other distributions. An account of statistical characteristics for the generalized weighted exponential distribution including; quantile function, moments, moment generating function, order statistics and entropy is presented. The model parameters are estimated through method of maximum likelihood and simulation study is performed to assess the stability of maximum likelihood estimates. Two data sets from the field of reliability and medical sciences are considered to analyze the impact of generalized weighted exponential distribution in real life phenomena and results of selected criterion are compared with some existing models which indicate the efficiency of generalized weighted exponential distribution.


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