A NEW WEIGHTED EXPONENTIAL DISTRIBUTION AND ITS APPLICATION TO THE COMPLETE AND CENSORED DATA

Authors : Omid KHARAZMİ, Leila JABBARİ

Pages : 219-236

View : 16 | Download : 11

Publication Date : 2017-06-19

Article Type : Other Papers

Abstract :The class of weighted exponential insert ignore into journalissuearticles values(WE); distribution was introduced in the seminal paper by Gupta and Kundu insert ignore into journalissuearticles values(2009); and have received a great deal of attention in recent years. In the present  paper,  we  define  a  flexible  extension  of  the  weighted  exponential  distribution  called  new weighted exponential insert ignore into journalissuearticles values(NEW); distribution. Various structural properties including statistical and reliability measures of the new distribution are derived. The method of maximum likelihood is  used  to  estimate  the  parameters  of  the  distribution  in  complete  and  censored  setting.  A simulation study is conducted to examine the bias and mean square error of the maximum likelihood estimators. Finally, two real data sets have been analyzed for illustrative purposes and  it is  observed that in both  cases the proposed model  fits better than Weibull,  gamma, weighted  exponential,  two-parameter  weighted  exponential,  log-logistic  ,  generalized exponential and generalized Weibull distributions.   
Keywords : Weighted exponential distribution, Censored data, Simulation, Reliability,