2017American Journal of Applied SciencesOpen access

On the Mean Estimation using Stratified Double Median Ranked Set Sampling

Muhammed I. Syam, Amer Ibrahim Al‐Omari, Kamarulzaman Ibrahim

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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.

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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.

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Available 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.

Key concepts: Stratified sampling, Simple random sample, Statistics, Mathematics, Estimator, Population mean, Sampling (signal processing), Cluster sampling

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