MVLUE of population parameters based on ranked set sampling

The minimum variance linear unbiased estimators (MVLUEs) of population parameters based on ranked set sampling are discussed for some distributions. Also values of the coefficients required for obtaining MVLUEs of the location and scale parameters are presented. For the same distributions, MVLUEs of the population mean are also obtained and the required coefficients are supplied. The MVLUEs of the population mean are compared with the other popular simple random sample (SRS) and ranked set sample (RSS) estimators of the population mean. The MVLUEs of the population mean are found to be more precise than the usual SRS or RSS estimators of the population mean for all cases considered.