THE BURR XII UNIFORM DISTRIBUTION: THEORY AND APPLICATIONS

  • M. Arslan Nasir Govt. Degree College Lodhran, Punjab, Pakistan
  • Gamze Özel Department of Statistics, Hacettepe University, 06800, Ankara, Turkey
  • Farrukh Jamal Department of Statistics, Govt. S. A. Postgraduate College, Pakistan
Keywords: Burr XII Distribution, Quantile Function, Entropy, Estimation

Abstract

In this study, we obtain a new flexible distribution named Burr XII Uniform distribution with several hazard rate shapes including decreasing, increasing and bathtub. Most mathematical properties of the Burr XII Uniform distribution are studied including infinite mixture representation, moments, moment generating function, quantile function, stochastic ordering, order statistics and entropy. Parameter estimations are given using the maximum likelihood approach. Applications are given to present the usage of the maximum likelihood estimates and proposed model.

 

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Published
2018-12-12
Section
Articles