THE BURR XII UNIFORM DISTRIBUTION: THEORY AND APPLICATIONS

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

JOURNAL OF RELIABILITY AND STATISTICAL STUDIES, cilt.11, sa.2, ss.143-158, 2018 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 2
  • Basım Tarihi: 2018
  • Dergi Adı: JOURNAL OF RELIABILITY AND STATISTICAL STUDIES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.143-158
  • Anahtar Kelimeler: Burr XII Distribution, Quantile Function, Entropy, Estimation, HALF-LOGISTIC FAMILY
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.