Characterizations of the Weibull-X and Burr XII Negative Binomial Families of Distributions


  •  M. Ahsanullah    
  •  A. Alzaatreh    
  •  I. Ghosh    
  •  G. Hamedani    

Abstract

In this paper, we establish certain characterizations of theWeibull-X family of distributions proposed by Alzaatrehet al. (2013) as well as of the Burr XII Negative Binomial distribution, introduced by Ramos et al. (2015).These characterizations are based on two truncated moments, hazard rate function and conditional expectation offunctions of random variables.


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