Zero Truncated Poisson Harris Weibull Distribution: Properties and Applications to Lifetime Datas


  •  Okechukwu Bridget Nwanyibuife    
  •  Okechukwu Angela Unna    
  •  Amahia Godwin Nwanzu    

Abstract

In this study, we proposed and developed a more flexible distribution with wider applications called Zero Truncated Poisson Harris Weibull (ZTPHW) distribution. Some well-known mathematical properties such as ordinary moments and incomplete moment, moment generating function, quantile function, Renyi and Tsallis entropy of ZTPHW distribution are investigated. The expressions of order statistics are derived. Parameters of the derived distribution are obtained using the maximum likelihood method and simulation studied is carried out to examine the validity of the method of estimation. The flexibility of the proposed distribution in modeling real life data is demonstrated using two lifetime data set.



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