Investigating the Use of Stratified Percentile Ranked Set Sampling Method for Estimating the Population Mean
Amer Ibrahim Al‐Omari, Ibrahim Kamarulzaman, Muhammed I. Syam
Abstract
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Amer Ibrahim Al‐Omari, Ibrahim Kamarulzaman, Muhammed I. Syam
Abstract
Open-access reader
Stratified percentile ranked set sampling (SPRSS) method is suggested for estimating the population mean. The SPRSS is compared with the simple random sampling (SRS), stratified simple random sampling (SSRS) and stratified ranked set sampling (SRSS). It is shown that SPRSS estimator is an unbiased estimator of the population mean of symmetric distributions and is more efficient than its counterparts using SRS, SSRS and SRSS based on the same number of measured units.
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Stratified percentile ranked set sampling (SPRSS) method is suggested for estimating the population mean. The SPRSS is compared with the simple random sampling (SRS), stratified simple random sampling (SSRS) and stratified ranked set sampling (SRSS). It is shown that SPRSS estimator is an unbiased estimator of the population mean of symmetric distributions and is more efficient than its counterparts using SRS, SSRS and SRSS based on the same number of measured units.
Key concepts: Stratified sampling, Simple random sample, Percentile, Statistics, Mathematics, Estimator, Sampling (signal processing), Population mean