Limit Theory of Bivariate Generalized Order Statistics with Random Sample Size

被引:0
|
作者
Barakat H.M. [1 ]
Abd Elgawad M.A. [2 ,3 ]
Qin H. [2 ]
Yan T. [2 ]
机构
[1] Dept.Math., Faculty Sci., Zagazig University, Zagazig
[2] School Math. and Statist., Central China Normal Univ., Wuhan
[3] Dept. Math. Faculty Sci., Benha Univ., Benha
关键词
generalized order statistics; random sample size; weak convergence;
D O I
10.3103/S1066530718010039
中图分类号
学科分类号
摘要
The class of limit distribution functions (df’s) of the random bivariate extreme, central and intermediate generalized order statistics (gos) from independent and identically distributed random variables (rv’s) is fully characterized. The cases, when the random sample size is independent of the basic variables and when the interrelation between the random sample size and the basic variables is not restricted, are considered. © 2018, Allerton Press, Inc.
引用
收藏
页码:47 / 59
页数:12
相关论文
共 50 条
  • [1] Limit theory of bivariate dual generalized order statistics with random index
    Abd Elgawad, M. A.
    Barakat, H. M.
    Qin, Hong
    Yan, Ting
    [J]. STATISTICS, 2017, 51 (03) : 572 - 590
  • [2] 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
  • [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] Prediction intervals for generalized-order statistics with random sample size
    Basiri, Elham
    Ahmadi, Jafar
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2015, 85 (09) : 1725 - 1741
  • [5] ORDER STATISTICS FOR RANDOM SAMPLE SIZE
    PATIL, SA
    RAGHUNAN.K
    KOVNER, JL
    [J]. ANNALS OF MATHEMATICAL STATISTICS, 1970, 41 (05): : 1800 - &
  • [6] Limit theory of generalized order statistics
    Barakat, H. M.
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2007, 137 (01) : 1 - 11
  • [7] Bayes two-sample prediction of generalized order statistics with fixed and random sample size
    AL-Hussaini, Essam K.
    Al-Awadhi, Fahimah
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2010, 80 (1-2) : 13 - 28
  • [8] 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
  • [9] Prediction of future generalized order statistics based on exponential distribution with random sample size
    Barakat, H. M.
    Nigm, E. M.
    El-Adll, Magdy E.
    Yusuf, M.
    [J]. STATISTICAL PAPERS, 2018, 59 (02) : 605 - 631
  • [10] Prediction of future generalized order statistics based on exponential distribution with random sample size
    H. M. Barakat
    E. M. Nigm
    Magdy E. El-Adll
    M. Yusuf
    [J]. Statistical Papers, 2018, 59 : 605 - 631