Estimation of the Correlation Coefficient Using Bivariate Ranked Set Sampling with Application to the Bivariate Normal Distribution

Mohammad Fraiwan Al-Saleh; Hani Samawi

doi:10.1081/STA-200054382

Estimation of the Correlation Coefficient Using Bivariate Ranked Set Sampling with Application to the Bivariate Normal Distribution

Mohammad Fraiwan Al-Saleh, Hani Samawi

Biostatistics, Epidemiology & Environmental Health Sciences

Yarmouk University

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

Bivariate ranked set sampling BVRSS was introduced by Al-Saleh and Zheng (2002) as a bivariate version of the ordinary ranked set sampling (RSS). The procedure can be used when we deal with two characteristics simultaneously. In this article, the BVRSS procedure is used to estimate the correlation coefficient between two variables. The proposed estimators are compared to other existing estimators based on bivariate simple random sample BVSRS. The case of bivariate normal distribution is considered in details.

Original language	American English
Journal	Communications in Statistics - Theory and Methods
Volume	34
DOIs	https://doi.org/10.1081/STA-200054382
State	Published - 2005

Disciplines

Biostatistics

Keywords

Bivariate normal distribution
Bivariate ranked set sampling
Modified maximum likelihood estimator
Ranked set sampling

Access to Document

10.1081/STA-200054382License: Unspecified

Cite this

@article{a7096b24f9e248058cd916cfb64f7b6e,

title = "Estimation of the Correlation Coefficient Using Bivariate Ranked Set Sampling with Application to the Bivariate Normal Distribution",

abstract = " Bivariate ranked set sampling BVRSS was introduced by Al-Saleh and Zheng (2002) as a bivariate version of the ordinary ranked set sampling (RSS). The procedure can be used when we deal with two characteristics simultaneously. In this article, the BVRSS procedure is used to estimate the correlation coefficient between two variables. The proposed estimators are compared to other existing estimators based on bivariate simple random sample BVSRS. The case of bivariate normal distribution is considered in details.",

keywords = "Bivariate normal distribution, Bivariate ranked set sampling, Modified maximum likelihood estimator, Ranked set sampling",

author = "Al-Saleh, {Mohammad Fraiwan} and Hani Samawi",

year = "2005",

doi = "10.1081/STA-200054382",

language = "American English",

volume = "34",

journal = "Communications in Statistics - Theory and Methods",

issn = "0361-0926",

publisher = "Taylor and Francis Ltd.",

}

TY - JOUR

T1 - Estimation of the Correlation Coefficient Using Bivariate Ranked Set Sampling with Application to the Bivariate Normal Distribution

AU - Al-Saleh, Mohammad Fraiwan

AU - Samawi, Hani

PY - 2005

Y1 - 2005

N2 - Bivariate ranked set sampling BVRSS was introduced by Al-Saleh and Zheng (2002) as a bivariate version of the ordinary ranked set sampling (RSS). The procedure can be used when we deal with two characteristics simultaneously. In this article, the BVRSS procedure is used to estimate the correlation coefficient between two variables. The proposed estimators are compared to other existing estimators based on bivariate simple random sample BVSRS. The case of bivariate normal distribution is considered in details.

AB - Bivariate ranked set sampling BVRSS was introduced by Al-Saleh and Zheng (2002) as a bivariate version of the ordinary ranked set sampling (RSS). The procedure can be used when we deal with two characteristics simultaneously. In this article, the BVRSS procedure is used to estimate the correlation coefficient between two variables. The proposed estimators are compared to other existing estimators based on bivariate simple random sample BVSRS. The case of bivariate normal distribution is considered in details.

KW - Bivariate normal distribution

KW - Bivariate ranked set sampling

KW - Modified maximum likelihood estimator

KW - Ranked set sampling

UR - https://doi.org/10.1081/STA-200054382

U2 - 10.1081/STA-200054382

DO - 10.1081/STA-200054382

M3 - Article

SN - 0361-0926

VL - 34

JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

ER -

Estimation of the Correlation Coefficient Using Bivariate Ranked Set Sampling with Application to the Bivariate Normal Distribution

Abstract

Disciplines

Keywords

Access to Document

Other files and links

Fingerprint

Cite this