On the population median estimation using quartile double ranked set sampling

In this article, quartile double ranked set sampling (QDRSS) method is considered for estimating the population median. The sample median based on QDRSS is suggested as an estimator of the population median. The QDRSS is compared with the simple random sampling (SRS), ranked set sampling (RSS) and quartile ranked set sampling (QRSS) methods for estimating the population median. To verify this method a real data example is applied. It turns out that for the symmetric distributions considered in this study, the QDRSS estimators are unbiased estimators of the population median and are larger than their counterparts using SRS, RSS and QRSS based on the same sample size of measured units. For asymmetric distributions, QDRSS is biased. It is more efficient than the SRS and the QRSS for all samples of size m while it is more efficient than RSS if m > 4.