Improved estimation from ranked set sampling
Ranked set sampling is used when the measurement or quantification
of units of the variable under study is difficult but the ranking of units
of sets of small sizes can be done easily by an inexpensive method. Dell
and Clutter (1972) showed that the sample mean based on ranked set
sample is more efficient than the sample mean based on simple random sample with replacement sampling procedure for estimation of the
population mean. In this paper Dell and Clutter estimator has been improved further by using the ranking variable x as an auxiliary variable
when μx, the population mean of x is unknown. An empirical investigation based on life data shows all proposed estimators are approximately
unbiased and bring gain in efficiency of up to 50 percent.