THE BURR XII UNIFORM DISTRIBUTION: THEORY AND APPLICATIONS

被引:0
|
作者
Nasir, M. Arslan [1 ]
Ozel, Gamze [2 ]
Jamal, Farrukh [3 ]
机构
[1] Govt Degree Coll Lodhran, Punjab, Pakistan
[2] Hacettepe Univ, Dept Stat, TR-06800 Ankara, Turkey
[3] Govt SA Postgrad Coll, Dept Stat, Punjab, Pakistan
来源
关键词
Burr XII Distribution; Quantile Function; Entropy; Estimation;
D O I
暂无
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
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.
引用
收藏
页码:143 / 158
页数:16
相关论文
共 50 条
  • [31] Finite mixture of Burr type XII distribution and its reciprocal: properties and applications
    Ahmad, Khalaf E.
    Jaheen, Zeinhum F.
    Mohammed, Heba S.
    STATISTICAL PAPERS, 2011, 52 (04) : 835 - 845
  • [32] Finite mixture of Burr type XII distribution and its reciprocal: properties and applications
    Khalaf E. Ahmad
    Zeinhum F. Jaheen
    Heba S. Mohammed
    Statistical Papers, 2011, 52 : 835 - 845
  • [33] The four-parameter Burr XII distribution: Properties, regression model, and applications
    Afify, Ahmed Z.
    Cordeiro, Gauss M.
    Ortega, Edwin M. M.
    Yousof, Haitham M.
    Butt, Nadeem Shafique
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2018, 47 (11) : 2605 - 2624
  • [34] THE BURR TYPE-XII DISTRIBUTION AS A GENERAL PARAMETRIC MODEL IN SURVIVORSHIP APPLICATIONS
    LEWIS, AW
    SYMONS, MJ
    BIOMETRICS, 1981, 37 (01) : 186 - 187
  • [35] The Flexible Weibull Extension-Burr XII Distribution: Model, Properties and Applications
    Kamal, Rania M.
    Ismail, Moshira A.
    PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2020, 16 (03) : 447 - 460
  • [36] Bayesian analysis of censored Burr XII distribution
    Danish, Muhammad Yameen
    Aslam, Muhammad
    ELECTRONIC JOURNAL OF APPLIED STATISTICAL ANALYSIS, 2014, 7 (02) : 326 - 342
  • [37] On the Burr XII-moment exponential distribution
    Bhatti, Fiaz Ahmad
    Hamedani, G. G.
    Korkmaz, Mustafa C.
    Sheng, Wenhui
    Ali, Azeem
    PLOS ONE, 2021, 16 (02):
  • [38] ON THE NEW FAMILY OF KIES BURR XII DISTRIBUTION
    Bhatti, Fiaz Ahmad
    Hamedani, G. G.
    Ali, Azeem
    Ahmad, Munir
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2022, 54 (08): : 543 - 563
  • [39] A CHARACTERIZATION OF THE BURR TYPE-XII DISTRIBUTION
    ALHUSSAINI, EK
    APPLIED MATHEMATICS LETTERS, 1991, 4 (01) : 59 - 61
  • [40] Bayesian Shrinkage Estimator of Burr XII Distribution
    Hassan, N. J.
    Hadad, J. Mahdi
    Nasar, A. Hawad
    INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2020, 2020