Abstract
Stratified Double Median Ranked Set Sampling (SDMRSS) method is suggested for estimating the population mean. The SDMRSS is compared with the Simple Random Sampling (SRS), Stratified Simple Random Sampling (SSRS) and Stratified Ranked Set Sampling (SRSS) methods. It is shown that SDMRSS estimator is an unbiased of the population mean and is more efficient than the SRS, SSRS and SRSS counterparts. Also, SDMRSS increase the efficiency of mean estimation for specific value of the sample size. The SDMRSS is applied on real data set.
Highlights
In this study, stratified double median ranked set sampling method is suggested for estimating the population mean of symmetric and asymmetric distributions
The relative efficiency of Stratified Double Median Ranked Set Sampling (SDMRSS) estimator with respect to those estimators based on Simple Random Sampling (SRS), Stratified Simple Random Sampling (SSRS) and Stratified Ranked Set Sampling (SRSS) are increasing as the sample size increases
The performance of the estimators based on SDMRSS are compared with those using SRSS, SSRS and SRS for the same number of measured units
Summary
The Ranked Set Sampling method which was proposed by McIntyre (1952) for estimating the population mean of pasture yields was developed and modified by many authors. Dell and Clutter (1972) showed that the mean of the RSS is an unbiased estimator of the population mean even if there are errors in ranking. Muttlak (1997) suggested using Median Ranked Set Sampling (MRSS) to estimate the population mean. Al-Saleh and Al-Kadiri (2000) introduced Double Ranked Set Sampling for estimating the population mean. Al-Saleh and Al-Omari (2002) suggested Multistage Ranked Set Sampling that increases the efficiency of estimating the population mean for specific value of the sample size. Jemain and Al-Omari (2006) suggested Multistage Median Ranked Set Sampling (MMRSS) to estimate a population mean. Syam et al (2013) considered the problem of estimating the population mean using stratified Double Percentile Ranked Set Sample. Muttlak (1997) suggested using Median Ranked Set Sampling (MRSS) to estimate the population mean. Al-Saleh and Al-Kadiri (2000) introduced Double Ranked Set Sampling for estimating the population mean. Al-Saleh and Al-Omari (2002) suggested Multistage Ranked Set Sampling that increases the efficiency of estimating the population mean for specific value of the sample size. Jemain and Al-Omari (2006) suggested Multistage Median Ranked Set Sampling (MMRSS) to estimate a population mean. Syam et al (2013) considered the problem of estimating the population mean using stratified Double Percentile Ranked Set Sample. In this study, stratified double median ranked set sampling method is suggested for estimating the population mean of symmetric and asymmetric distributions.
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