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
[21]   On general weighted extropy of ranked set sampling [J].
Gupta, Nitin ;
Chaudhary, Santosh Kumar .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024, 53 (12) :4428-4441
[22]   Reliability estimation based on ranked set sampling [J].
El-Neweihi, E ;
Sinha, BK .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2000, 29 (07) :1583-1595
[23]   Paired double-ranked set sampling [J].
Haq, Abdul ;
Brown, Jennifer ;
Moltchanova, Elena ;
Al-Omari, Amer Ibrahim .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (10) :2873-2889
[24]   Ranked set sampling from location-scale families of symmetric distributions [J].
Tiwari, RC ;
Kvam, PH .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2001, 30 (8-9) :1641-1659
[25]   Improved estimation from ranked set sampling [J].
Arnab, Raghunath ;
Olaomi, J. O. .
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (06) :1513-1525
[26]   Median ranked set sampling with concomitant variables and a comparison with ranked set sampling and regression estimators [J].
Muttlak, HA .
ENVIRONMETRICS, 1998, 9 (03) :255-267
[27]   Estimation of Reliability for Exponential Distributions Using Ranked Set Sampling with Unequal Samples [J].
Dong, Xiaofang ;
Zhang, Liangyong ;
Li, Fengqin .
QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2013, 10 (03) :319-328
[28]   Performances of some goodness-of-fit tests for sampling designs in ranked set sampling [J].
Yildiz, Tugba Ozkal ;
Sevil, Yusuf Can .
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2018, 88 (09) :1702-1716
[29]   Ranked set sampling for replicated sampling designs [J].
Barabesi, L ;
Pisani, C .
BIOMETRICS, 2002, 58 (03) :586-592
[30]   Inferences for stress-strength reliability of Burr Type X distributions based on ranked set sampling [J].
Akgul, Fatma Gul ;
Senoglu, Birdal .
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2022, 51 (06) :3324-3340
12345