Induced Ranked Set Sampling when Units are Inducted from Several Populations

Abstract

The method of ranked set sampling when units are to be inducted from several bivariate populations is introduced in this work. The best linear unbiased estimation of a common parameter of two bivariate Pareto distributions is discussed based on the n ranked set observations, when a sample of size n1 is drawn from a bivariate Pareto population with shape parameter a1 and a sample of size n2 is drawn from another bivariate Pareto with shape parameter a2 such that n=n1+n2. The application of the results of this paper is illustrated with a real life data.

Keywords

• Best linear unbiased estimator
• Bivariate Pareto distribution
• Concomitants of order statistics
• Ranked set sampling