Estimation Using Bivariate Extreme Ranked Set Sampling With Application To The Bivariate Normal Distribution

Mohammad Fraiwan Al-Saleh; Hani M. Samawi

doi:10.22237/jmasm/1083370380

Estimation Using Bivariate Extreme Ranked Set Sampling With Application To The Bivariate Normal Distribution

Mohammad Fraiwan Al-Saleh, Hani M. Samawi

Biostatistics, Epidemiology & Environmental Health Sciences

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

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Abstract

In this article, the procedure of bivariate extreme ranked set sampling (BVERSS) is introduced and investigated as a procedure of obtaining more accurate samples for estimating the parameters of bivariate populations. This procedure takes its strength from the advantages of bivariate ranked set sampling (BVRSS) over the usual ranked set sampling in dealing with two characteristics simultaneously, and the advantages of extreme ranked set sampling (ERSS) over usual RSS in reducing the ranking errors and hence in being more applicable. The BVERSS procedure will be applied to the case of the parameters of the bivariate normal distributions. Illustration using real data is also provided.

Original language	American English
Journal	Journal of Modern Applied Statistical Methods
DOIs	https://doi.org/10.22237/jmasm/1083370380
State	Published - May 1 2004

Disciplines

Applied Statistics
Statistical Theory
Social and Behavioral Sciences

Keywords

Bivariate extreme ranked set sampling
Bivariate ranked set sampling
Efficiency
Extreme ranked set sampling
Ranked set sampling

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title = "Estimation Using Bivariate Extreme Ranked Set Sampling With Application To The Bivariate Normal Distribution",

abstract = "In this article, the procedure of bivariate extreme ranked set sampling (BVERSS) is introduced and investigated as a procedure of obtaining more accurate samples for estimating the parameters of bivariate populations. This procedure takes its strength from the advantages of bivariate ranked set sampling (BVRSS) over the usual ranked set sampling in dealing with two characteristics simultaneously, and the advantages of extreme ranked set sampling (ERSS) over usual RSS in reducing the ranking errors and hence in being more applicable. The BVERSS procedure will be applied to the case of the parameters of the bivariate normal distributions. Illustration using real data is also provided.",

keywords = "Bivariate extreme ranked set sampling, Bivariate ranked set sampling, Efficiency, Extreme ranked set sampling, Ranked set sampling",

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language = "American English",

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AU - Samawi, Hani M.

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Y1 - 2004/5/1

N2 - In this article, the procedure of bivariate extreme ranked set sampling (BVERSS) is introduced and investigated as a procedure of obtaining more accurate samples for estimating the parameters of bivariate populations. This procedure takes its strength from the advantages of bivariate ranked set sampling (BVRSS) over the usual ranked set sampling in dealing with two characteristics simultaneously, and the advantages of extreme ranked set sampling (ERSS) over usual RSS in reducing the ranking errors and hence in being more applicable. The BVERSS procedure will be applied to the case of the parameters of the bivariate normal distributions. Illustration using real data is also provided.

AB - In this article, the procedure of bivariate extreme ranked set sampling (BVERSS) is introduced and investigated as a procedure of obtaining more accurate samples for estimating the parameters of bivariate populations. This procedure takes its strength from the advantages of bivariate ranked set sampling (BVRSS) over the usual ranked set sampling in dealing with two characteristics simultaneously, and the advantages of extreme ranked set sampling (ERSS) over usual RSS in reducing the ranking errors and hence in being more applicable. The BVERSS procedure will be applied to the case of the parameters of the bivariate normal distributions. Illustration using real data is also provided.

KW - Bivariate extreme ranked set sampling

KW - Bivariate ranked set sampling

KW - Efficiency

KW - Extreme ranked set sampling

KW - Ranked set sampling

UR - https://digitalcommons.wayne.edu/jmasm/vol3/iss1/13

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DO - 10.22237/jmasm/1083370380

M3 - Article

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JO - Journal of Modern Applied Statistical Methods

JF - Journal of Modern Applied Statistical Methods

ER -

Estimation Using Bivariate Extreme Ranked Set Sampling With Application To The Bivariate Normal Distribution

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Keywords

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