ML Estimation Of The Common Mean Of A Bivariate Normal Population

In this paper we discuss the problem of the estimation of the common mean of a bivariate normal population based on paired data as well as data on one of the marginals. Three double sampling schemes with the first stage sampling being either a simple random sampling or a ranked set sampling and the second stage sampling being either a simple random sampling or a ranked set sampling are considered. Four common mean estimators are proposed. It is found that under normality, the proposed RSS common mean estimator is always superior to the proposed SRS common mean estimator .The problem of estimating the mean Reid Vapor Pressure of regular gasoline based on field and laboratory data is considered.