Estimation of a common mean and recovery of interblock information

DOI10.1214/aos/1176344903zbMath0422.62025OpenAlexW2046996198MaRDI QIDQ1133847

C. G. Bhattacharya

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/1176344903

zbMATH Keywords

recovery of interblock informationcombining unbiased estimatorsestimating common mean of normal distributions

Mathematics Subject Classification ID

Point estimation (62F10) Statistical block designs (62K10) Factorial statistical designs (62K15)

Related Items (27)

Shrinkage domination of some usual estimators of the common mean of several multivariate normal populations ⋮ Unbiased estimation of the variance of the graybill-deal estimator of the common mean of several normal populations ⋮ A generalized \(p\)-value approach to inference on common mean ⋮ A note on second-order admissibility of the Graybill-Deal estimator of a common mean of several normal populations. ⋮ Inadmissibility of the uncombined two-stage estimator when additional samples are available ⋮ Estimating common parameters of growth curve models ⋮ On exact confidence intervals for the common mean of several normal populations ⋮ Bounded length confidence interval for a common mean ⋮ On some aspects of estimation of a common mean of two independent normal populations ⋮ A bayes method for estimating the common mean of two normal populations ⋮ Recovery of inter-block information: extensions in a two variance component model ⋮ Improved estimators for the common means of two normal distributions with ordered variances ⋮ Closer estimators of a common mean in the sense of Pitman ⋮ Improving estimates in B.I.B. designs ⋮ Improving estimates in P.B.I.B. designs ⋮ Estimation of two ordered normal means under modified Pitman nearness criterion ⋮ Recovery of information in BIBDs with interaction ⋮ 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 ⋮ Double shrinkage estimation of common coefficients in two regression equations with hetersocedasticity ⋮ Combined estimate of a location parameter ⋮ Jackknife variance estimation for general two-sample statistics and applications to common mean estimators under ordered variances ⋮ Testing hypotheses about the common mean of normal distributions ⋮ On estimating the common mean of several normal populations under the pitman closeness criterion ⋮ The robustness of anova with respect to interactions in some orthogonal block designs ⋮ A note on the recovery of inter-block information in balanced incomplete block designs

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