Limit theory of bivariate dual generalized order statistics with random index

被引：5
|
作者：
Abd Elgawad, M. A. [1 ,2 ]
Barakat, H. M. [3 ]
Qin, Hong [1 ]
Yan, Ting [1 ]
机构：
[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
[2] Benha Univ, Dept Math, Fac Sci, Banha, Egypt
[3] Zagazig Univ, Dept Math, Fac Sci, Zagazig, Egypt
来源：
STATISTICS | 2017年 / 51卷 / 03期
关键词：
Weak convergence; sample of random size; bivariate dual generalized order statistics; Primary: 62E20; Secondary: 62E15; 62G30; RANDOM-VARIABLES; RANDOM NUMBER; EXTREMES;
D O I：
10.1080/02331888.2016.1265965
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：
The class of limit distribution functions of bivariate extreme, intermediate and central dual generalized order statistics from independent and identically distributed random variables with random sample size is fully characterized. Two cases are considered. The first case is when the random sample size is assumed to be independent of all basic random variables. The second case is when the interrelation of the random size and the basic random variables is not restricted.
引用
收藏
页码：572 / 590
页数：19
相关论文
共 50 条
  • [1] Limit theory for bivariate extreme generalized order statistics and dual generalized order statistics
    Barakat, H. M.
    Nigm, E. M.
    Abd Elgawad, M. A.
    [J]. ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2014, 11 (01): : 331 - 340
  • [2] Limit Theory of Bivariate Generalized Order Statistics with Random Sample Size
    Barakat H.M.
    Abd Elgawad M.A.
    Qin H.
    Yan T.
    [J]. Mathematical Methods of Statistics, 2018, 27 (1) : 47 - 59
  • [3] AI LIMIT THEORY FOR BIVARIATE CENTRAL AND BIVARIATE INTERMEDIATE DUAL GENERALIZED ORDER STATISTICS
    Barakat, H. M.
    Nigm, E. M.
    Abd Elgawad, M. A.
    [J]. PROBABILITY AND MATHEMATICAL STATISTICS-POLAND, 2015, 35 (02): : 267 - 284
  • [4] Limit theory of generalized order statistics
    Barakat, H. M.
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2007, 137 (01) : 1 - 11
  • [5] LIMIT THEORY FOR JOINT GENERALIZED ORDER STATISTICS
    Barakat, H. M.
    Nigm, E. M.
    Abd Elgawad, M. A.
    [J]. REVSTAT-Statistical Journal, 2014, 12 (03) : 199 - 220
  • [6] On Concomitants of Dual Generalized Order Statistics for a Bivariate Inverse Exponential Distribution
    Shahbaz, Saman Hanif
    Shahbaz, Muhammad Qaiser
    [J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, 11 (04): : 929 - 936
  • [7] ON CONCOMITANTS OF DUAL GENERALIZED ORDER STATISTICS FOR A BIVARIATE INVERSE WEIBULL DISTRIBUTION
    Shahbaz, Saman Hanif
    Shahbaz, Muhammad Qaiser
    [J]. ADVANCES AND APPLICATIONS IN STATISTICS, 2019, 55 (01) : 35 - 46
  • [8] Asymptotic theory of extreme dual generalized order statistics
    Barakat, H. M.
    El-Adll, Magdy E.
    [J]. STATISTICS & PROBABILITY LETTERS, 2009, 79 (09) : 1252 - 1259
  • [9] Concomitants of Dual Generalized Order Statistics from Bivariate Burr III Distribution
    Athar, Haseeb
    Nayabuddin
    Akhter, Zuber
    [J]. JOURNAL OF STATISTICAL THEORY AND APPLICATIONS, 2015, 14 (03): : 240 - 256
  • [10] Concomitants of Dual Generalized Order Statistics from Bivariate Burr III Distribution
    Haseeb Athar
    Zuber Nayabuddin
    [J]. Journal of Statistical Theory and Applications, 2015, 14 (3): : 240 - 256
12345