Variance and distribution of the Graybill-Deal estimator of the common mean of two normal populations

DOI10.1214/aos/1176344904zbMath0422.62015OpenAlexW1972687186MaRDI QIDQ1133841

K. Aiyappan Nair

Publication date: 1980

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176344904

zbMATH Keywords

varianceGraybill-Deal estimator of common mean of normal populations

Mathematics Subject Classification ID

Point estimation (62F10) Exact distribution theory in statistics (62E15)

Related Items (13)

Unbiased estimation of the variance of the graybill-deal estimator of the common mean of several normal populations ⋮ Comparison of Local Powers of Some Exact Tests for a Common Normal Mean with Unequal Variances ⋮ A note on second-order admissibility of the Graybill-Deal estimator of a common mean of several normal populations. ⋮ Combining independent normal Sample means by weighting With their standard errors ⋮ An estimator of the common mean of two normal populations ⋮ Shrinkage estimation for the mean of the inverse Gaussian population ⋮ On estimating the common mean in two normal distributions after a preliminary test for equality of variances ⋮ Estimation of a common mean of several univariate inverse Gaussian populations ⋮ Estimation of the common mean of two univariate normal populations ⋮ Finite-sample properties of the Graybill-Deal estimator ⋮ Jackknife variance estimation for general two-sample statistics and applications to common mean estimators under ordered variances ⋮ A note on the recovery of inter-block information in balanced incomplete block designs ⋮ Asymptotic improvement of the graybill-deal estimator

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