2020•Burapha Science Journal (วารสารวิทยาศาสตร์บูรพา )Requires access

Stratified Unified Ranked Set Sampling with Perfect Ranking

Chainarong Peanpailoon, Chanankarn Saengprasan, Suwiwat Witchakool

Abstract

In this paper, a new modified ranked set sampling method is suggested, which is called stratified unified ranked set sampling (SURSS), for estimating the population mean. Then, we compare the efficiency of the empirical mean estimator based on the proposed sampling method with simple random sampling (SRS), stratified simple random sampling (SSRS) and stratified ranked set sampling (SRSS) via a simulation under three symmetric distributions: standard normal, uniform, and Student’s t. The simulation results indicate that the estimator based on SURSS with perfect ranking is unbiased and more efficient than competitors based on SRS, SSRS, and SRSS for symmetric distributions. Keywords : simple random sampling ; ranked set sampling ; unified ranked set sampling ; stratified unified ranked set sampling

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Key concepts: Stratified sampling, Simple random sample, Sampling (signal processing), Ranking (information retrieval), Sampling design, Statistics, Mathematics, Estimator