On Some Exact Distributions in Ranked Set Sampling

被引：0
|
作者：
Sheikhi, Ayyub [1 ]
机构：
[1] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Stat, Kerman, Iran
来源：
FILOMAT | 2017年 / 31卷 / 15期
关键词：
keywords; Unified skew normal; skew-t; singular skew normal; ranked set sampling; order statistic; MULTIVARIATE NORMAL-DISTRIBUTION; ORDER-STATISTICS;
D O I：
10.2298/FIL1715857S
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we obtain the exact joint distribution of a ranked set sample. We show that this distribution belongs to the family of unified multivariate skew normal distributions. We also investigate a multivariate skew-t distribution 62J12 using ranked set samples as an application of our results. A numerical example is also provided to illustrate our results.
引用
收藏
页码：4857 / 4864
页数：8
相关论文
共 50 条
  • [1] Weighted Ranked Set Sampling for Skewed Distributions
    Bhoj, Dinesh S.
    Chandra, Girish
    MATHEMATICS, 2024, 12 (13)
  • [2] SOME VARIATIONS OF RANKED SET SAMPLING
    Jemain, Abdul Aziz
    Al-Omari, Amer
    Ibrahim, Kamarulzaman
    ELECTRONIC JOURNAL OF APPLIED STATISTICAL ANALYSIS, 2008, 1 (01) : 1 - 15
  • [3] STRATIFIED FOLDED RANKED SET SAMPLING FOR ASYMMETRIC DISTRIBUTIONS
    Peanpailoon, Chainarong
    Thongmual, Noppakun
    Nasinprom, Nipa
    SURANAREE JOURNAL OF SCIENCE AND TECHNOLOGY, 2024, 31 (04):
  • [4] Optimal allocation for symmetric distributions in ranked set sampling
    Kaur, A
    Patil, GP
    Taillie, C
    ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 2000, 52 (02) : 239 - 254
  • [5] Ranked set sampling with unequal samples for skew distributions
    Bhoj, Dinesh S.
    Kushary, Debashis
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2016, 86 (04) : 676 - 681
  • [6] Optimal Allocation for Symmetric Distributions in Ranked Set Sampling
    Amarjot Kaur
    G. P. Patil
    C. Taillie
    Annals of the Institute of Statistical Mathematics, 2000, 52 : 239 - 254
  • [7] THEORY AND SOME APPLICATIONS OF RANKED SET SAMPLING
    DELL, TR
    BIOMETRICS, 1970, 26 (03) : 599 - &
  • [8] On Comparison of Some Variation of Ranked Set Sampling
    Ibrahim, Kamarulzaman
    SAINS MALAYSIANA, 2011, 40 (04): : 397 - 401
  • [9] Unequal allocation models for ranked set sampling with skew distributions
    Kaur, A
    Patil, GP
    Taillie, C
    BIOMETRICS, 1997, 53 (01) : 123 - 130
  • [10] Ranked set sampling
    Wolfe, Douglas A.
    WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL STATISTICS, 2010, 2 (04) : 460 - 466
12345