DOUBLE PERCENTILE RANKED SET SAMPLES FOR ESTIMATING THE POPULATION MEAN

被引：0

作者：

Jemain, Abdul Aziz ^{[1
]}

Al-Omari, Amer Ibrahim ^{[1
]}

机构：

[1] UKM Bangi, Fac Sci & Technol, Sch Math Sci, Bangi 43600, Selangor, Malaysia

来源：

ADVANCES AND APPLICATIONS IN STATISTICS | 2006年 / 6卷 / 03期

关键词：

ranked set sampling; median ranked set sampling; extreme ranked set sampling; percentile ranked set sampling; double percentile ranked set sampling;

D O I：

暂无

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：

Double percentile ranked set sampling procedure (DPRSS) is introduced as a modification of ranked set sampling (RSS) for estimating the mean of the population of interest. The efficiency of the DPRSS estimator of the mean relative to the simple random sampling (SRS), ranked set sampling (RSS), median ranked set sampling (MRSS), extreme ranked set sampling (ERSS) and percentile ranked set sampling (PRSS) methods is obtained. It turns out that DPRSS is an unbiased and more efficient than its counterpart SRS, RSS, MRSS, ERSS, and PRSS for the symmetric distributions. For non-symmetric distributions considered in this study, the DPRSS estimator has a smaller bias and it is more efficient than the SRS, ERSS and PRSS methods.

引用

页码：261 / 276

页数：16

共 50 条

[31] Unbiased and almost unbiased ratio estimators of the population mean in ranked set sampling [J].

Jozani, Mohammad Jafari ;

Majidi, Saeed ;

Perron, Francois .

STATISTICAL PAPERS, 2012, 53 (03) :719-737

[32] Resampling methods for ranked set samples [J].

Modarres, Reza ;

Hui, Terrence P. ;

Zheng, Gang .

COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2006, 51 (02) :1039-1050

[33] On the population median estimation using quartile double ranked set sampling [J].

Al-Omari, Amer Ibrahim ;

Al-Zubi, Loai M. ;

Khazaleh, Ahmad .

PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2015, 11 (04) :513-524

[34] Ranked set sampling with unequal samples [J].

Bhoj, DS .

BIOMETRICS, 2001, 57 (03) :957-962

[35] On the use of ranked set sampling for estimating super-population total: Gamma population model [J].

Ahmed, S. ;

Shabbir, J. .

SCIENTIA IRANICA, 2021, 28 (01) :465-476

[36] A family of ratio estimators for population mean in extreme ranked set sampling using two auxiliary variables [J].

Haq, Abdul ;

Shabbir, Javid .

SORT-STATISTICS AND OPERATIONS RESEARCH TRANSACTIONS, 2010, 34 (01) :45-64

[37] Unbiased variance estimation in a simple exponential population using ranked set samples [J].

Sengupta, S ;

Mukhuti, S .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2006, 136 (04) :1526-1553

[38] Rescaling bootstrap technique for variance estimation for ranked set samples in finite population [J].

Biswas, Ankur ;

Rai, Anil ;

Ahmad, Tauqueer .

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2020, 49 (10) :2704-2718

[39] Mean Estimation Using Even Order Ranked Set Sampling [J].

Noor-ul-Amin, Muhammad ;

Tayyab, Muhammad ;

Hanif, Muhammad .

PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2019, 51 (01) :91-99

[40] On the use of antithetic variables to improve over the ranked set sampling estimator of the population mean [J].

Jozani M.J. ;

Perron F. .

Sankhya A, 2011, 73 (1) :142-161

← 1 2 3 4 5 →