Abstract
Bayes estimation of the intraciass correlation coefficient, ρ, based on improper prior distribution of the eigen values of the covariance matrix is studied. Asymptotic expansion of the Bayes estimator of in relation to the maximum likelihood estimator of is given. Exact expression of and asymptotic distribution of are also dervied. Bayesian percentile estimator form the poterior density of ρ and Bayesian interval estimator of ρ are also provided.
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