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

Disclosure statement

No potential conflict of interest was reported by the authors.