On Bivariate Ranked Set Sampling for Ratio and Regression Estimators

Document Type

Article

Publication Date

2007

Publication Title

International Journal of Modelling and Simulation

DOI

10.2316/Journal.205.2007.4.205-4215

Abstract

Relative performance of bivariate ranked set sampling (BVRSS), with respect to ranked set sampling (RSS) and simple random sampling (SRS), for estimating the population mean using ratio and regression methods is investigated. Properties of the proposed estimators are derived. Simulation study is conducted to gain insight in the behaviour of the relative efficiency of BVRSS relative to other sampling scheme. Also, real data that consist of heights and diameters of 399 trees are used to illustrate the procedure. The result of the simulation study and the real data illustration indicate that using BVRSS for ratio and regression estimation is more efficient than using a SRS and an RSS in most of the cases.

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