Estimation of parameters of bivariate normal distribution using concomitants of record values

Abstract

In this paper, we discuss the concomitants of record values arising from the well-known bivariate normal distribution BVND(µ1, µ2,σ1,σ2, ρ). We have obtained the best linear unbiased estimators of µ2 and σ2 when ρ is known and derived some unbiased linear estimators of ρ when µ2 and σ2 are known, based on the concomitants of first n record values. The variances of these estimators have been obtained.