THE BURR XII UNIFORM DISTRIBUTION: THEORY AND APPLICATIONS

Nasir M. A., Ozel G., Jamal F.

JOURNAL OF RELIABILITY AND STATISTICAL STUDIES, vol.11, no.2, pp.143-158, 2018 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 2
  • Publication Date: 2018
  • Journal Name: JOURNAL OF RELIABILITY AND STATISTICAL STUDIES
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.143-158
  • Keywords: Burr XII Distribution, Quantile Function, Entropy, Estimation, HALF-LOGISTIC FAMILY
  • Hacettepe University Affiliated: Yes

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.