Abstract
In this study we deal with the estimation of the population ratio, when a Randomized Response (RR) procedure is used for collecting responses and Ranked Set Sampling (RSS) is the selection method. The variances of the suggested estimators are calculated. Comparisons between different estimators are presented.
Highlights
The common model considers that we are interested in the study of Y, a sensitive variable evaluated in a finite population U = {u1, u2,...,uN}, ui, is an identifiable unit
Some interesting recently published results are: Al-Saleh and Al-Omari (2002), who suggested multistage ranked set sampling for estimating the population mean; Bouza (2010) who considered the estimation of the mean of a sensitive quantitative character in Ranked Set Sampling (RSS) using auxiliary variables for Random Response (RR) procedures; Chen and Lim (2011) who considered the estimation of variances of strata in RSS
We considered a series of data bases designed Monte Carlo experiments
Summary
The common model considers that we are interested in the study of Y, a sensitive variable evaluated in a finite population U = {u1, u2,...,uN}, ui, is an identifiable unit. Some interesting recently published results are: Al-Saleh and Al-Omari (2002), who suggested multistage ranked set sampling for estimating the population mean; Bouza (2010) who considered the estimation of the mean of a sensitive quantitative character in RSS using auxiliary variables for RR procedures; Chen and Lim (2011) who considered the estimation of variances of strata in RSS. Let X be a known variable highly correlated with Y which is used both for selecting the ranked sample and for computing estimation of the ratio, ζ.
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