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Ranked set sampling with unequal samples for skew distributions
Abstract:A ranked set sampling procedure with unequal samples for positively skew distributions (RSSUS) is proposed and used to estimate the population mean. The estimators based on RSSUS are compared with the estimators based on ranked set sampling (RSS) and median ranked set sampling (MRSS) procedures. It is observed that the relative precisions of the estimators based on RSSUS are higher than those of the estimators based on RSS and MRSS procedures.
Keywords:heavy right tail distributions  log-normal distribution  mean square error  median rankedset sampling  Pareto distribution  positively skew distribution  relative precision  unbiased estimator  Weibull distribution
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