Characterizations of the Generalized Beta-generated family of distributions

被引:0
|
作者
G. G. Hamedani
V. Mameli
机构
[1] Marquette University,Department of Mathematics, Statistics and Computer Science
[2] Cá Foscari University of Venice,Department of Environmental Sciences, Informatics and Statistics
来源
Journal of Statistical Theory and Applications | 2017年 / 16卷 / 1期
关键词
Generalized Beta-generated family; Beta skew-normal; Kumaraswamy skew-normal;
D O I
10.2991/jsta.2017.16.1.2
中图分类号
学科分类号
摘要
Several characterizations of Generalized Beta-generated family of distributions, introduced by Alexander et al. (2012), are presented, giving special emphasis to the Kumaraswamy skew-normal distribution and the Beta skew-normal distribution, special cases of this family.!!!!These characterizations are based on: (i) a simple relationship between two truncated moments; (ii) the hazard function; (iii) a single function of the random variable; (iv) truncated moments of a single function of the n—th order statistic.
引用
收藏
页码:18 / 25
页数:7
相关论文
共 50 条
  • [1] Generalized beta-generated distributions
    Alexander, Carol
    Cordeiro, Gauss M.
    Ortega, Edwin M. M.
    Maria Sarabia, Jose
    COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2012, 56 (06) : 1880 - 1897
  • [2] Contributions to the class of beta-generated distributions
    Visagie, I. J. H.
    de Waal, D. J.
    Makgai, S. L.
    Bekker, A.
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52 (04) : 1101 - 1117
  • [3] Discrimination among bivariate beta-generated distributions
    Ristic, Miroslav M.
    Popovic, Bozidar V.
    Zografos, Konstantinos
    Balakrishnan, Narayanaswamy
    STATISTICS, 2018, 52 (02) : 303 - 320
  • [4] Asymptotic distributions of order statistics and record values arising from the class of beta-generated distributions
    Barakat, H. M.
    Nigm, E. M.
    STATISTICS, 2014, 48 (05) : 1005 - 1012
  • [5] An Estimator of Shannon Entropy of Beta-Generated Distributions and a Goodness-of-Fit Test
    Chaji, Alireza
    Zografos, Konstantinos
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2019, 48 (02) : 396 - 415
  • [6] A new model for describing remission times: the generalized beta-generated Lindley distribution
    Lima, Maria Do Carmo S.
    Cordeiro, Gauss M.
    Nascimento, Abraao D. C.
    Silva, Kassio F.
    ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 2017, 89 (03): : 1343 - 1367
  • [7] Rethinking Generalized Beta family of distributions
    Liu, Jiong
    Serota, R. A.
    EUROPEAN PHYSICAL JOURNAL B, 2023, 96 (02):
  • [8] A FAMILY OF GENERALIZED BETA DISTRIBUTIONS FOR INCOME
    Sepanski, J. H.
    Kong, Lingji
    ADVANCES AND APPLICATIONS IN STATISTICS, 2008, 10 (01) : 75 - 84
  • [9] Rethinking Generalized Beta family of distributions
    Jiong Liu
    R. A. Serota
    The European Physical Journal B, 2023, 96
  • [10] THE GUDERMANNIAN GENERATED FAMILY OF DISTRIBUTIONS WITH CHARACTERIZATIONS, REGRESSION MODELS AND APPLICATIONS
    Altun, Emrah
    Alizadeh, Morad
    Yousof, Haitham M.
    Hamedani, G. G.
    STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2022, 59 (02) : 93 - 115