New ranked set sampling for one-parameter family of distributions

BHOJ (1997c) proposed a new ranked set sampling (NRSS) procedure for a specific two-parameter family of distributions when the sample size is even. This NRSS procedure can be applied to one-parameter family of distributions when the sample size is even. However, this procedure cannot be used if the sample size is odd. Therefore, in this paper, we propose a modified version of the NRSS procedure which can be used for one-parameter distributions when the sample size is odd. Simple estimator for the parameter based on proposed NRSS is derived. The relative precisions of this estimator are higher than those of other estimators which are based on other ranked set sampling procedures and the best linear unbiased estimator using all order statistics.