RANKED SET SAMPLING WITH RESPECT TO CONCOMITANT VARIABLES AND WITH SIZE BIASED PROBABILITY OF SELECTION

Ranked set sampling is developed for the case when units are selected with size biased probability with respect to a concomitant variable and when we are interested in a second variable which is difficult to order and measure. An estimator of the population total is developed for the variable of interest and shown to be an unbiased estimator of the population total. Also, the efficiency of the estimator of the population total is improved relative to the usual estimator for standard size biased probability of selection. © 1990, Taylor & Francis Group, LLC. All rights reserved.