Characterizations of the Beta Kumaraswamy Exponential Distribution

被引：4
|
作者：
Al-saiary, Zakeia A. [1 ]
Bakoban, Rana A. [1 ]
Al-zahrani, Areej A. [1 ]
机构：
[1] Univ Jeddah, Coll Sci, Dept Stat, Jeddah, Saudi Arabia
来源：
MATHEMATICS | 2020年 / 8卷 / 01期
关键词：
beta Kumaraswamy exponential distribution; skewness; kurtosis; moments; Renyi entropy; order statistics;
D O I：
10.3390/math8010023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, the five-parameter beta Kumaraswamy exponential distribution (BKw-E) is introduced, and some characterizations of this distribution are obtained. The shape of the hazard function and some other important properties-such as median, mode, quantile function, and mean-are studied. In addition, the moments, skewness, and kurtosis are found. Furthermore, important measures such as Renyi entropy and order statistics are obtained; these have applications in many fields. An example of a real data set is discussed.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] On a bivariate Kumaraswamy type exponential distribution
    Mirhosseini, S. M.
    Dolati, A.
    Amini, M.
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (18) : 5461 - 5477
  • [2] A BIVARIATE KUMARASWAMY-EXPONENTIAL DISTRIBUTION WITH APPLICATION
    Bakouch, Hassan S.
    Moala, Fernando A.
    Saboor, Abdus
    Samad, Haniya
    [J]. MATHEMATICA SLOVACA, 2019, 69 (05) : 1185 - 1212
  • [3] Kumaraswamy Marshall-Olkin Exponential distribution
    George, Roshini
    Thobias, S.
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (08) : 1920 - 1937
  • [4] Maximum Likelihood Estimation of the Kumaraswamy Exponential Distribution with Applications
    Adepoju, K. A.
    Chukwu, O. I.
    [J]. JOURNAL OF MODERN APPLIED STATISTICAL METHODS, 2015, 14 (01) : 208 - 214
  • [5] A Discrete Kumaraswamy Marshall-Olkin Exponential Distribution
    Gillariose, Jiju
    Tomy, Lishamol
    Jamal, Farrukh
    Chesneau, Christophe
    [J]. JIRSS-JOURNAL OF THE IRANIAN STATISTICAL SOCIETY, 2021, 20 (02): : 129 - 152
  • [6] The Kumaraswamy exponential-Weibull distribution: theory and applications
    Cordeiro, Gauss M.
    Saboor, Abdus
    Khan, Muhammad Nauman
    Ozel, Gamze
    Pascoa, Marcelino A. R.
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2016, 45 (04): : 1203 - 1229
  • [7] A Note on Characterizations of the Exponential Distribution*
    Ushakov N.G.
    Ushakov V.G.
    [J]. Journal of Mathematical Sciences, 2016, 214 (1) : 132 - 138
  • [8] Characterizations of the beta distribution
    Nadarajah, S
    Gupta, AK
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2004, 33 (11-12) : 2941 - 2957
  • [9] CHARACTERIZATIONS OF EXPONENTIAL DISTRIBUTION BY ORDER STATISTICS
    HUANG, JS
    [J]. JOURNAL OF APPLIED PROBABILITY, 1974, 11 (03) : 605 - 608
  • [10] ON THE STABILITY OF CHARACTERIZATIONS OF THE EXPONENTIAL-DISTRIBUTION
    SHIMIZU, R
    [J]. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1981, 33 (03) : 339 - 346
12345