On some aspects of estimation of a common mean of two independent normal populations

DOI10.1016/J.JSPI.2005.08.049zbMath1098.62026OpenAlexW1983400307MaRDI QIDQ2433826

Pranab K. Mitra, Bimal Kumar Sinha

Publication date: 30 October 2006

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2005.08.049

zbMATH Keywords

importance samplingFisher informationcommon meanJeffreys priordominated convergence theoremsecond order efficientfirst order efficientRao-Cramer lower bound

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Bayesian inference (62F15)

Related Items (6)

A generalized \(p\)-value approach to inference on common mean ⋮ Point and interval estimation of powers of scale parameters for two normal populations with a common mean ⋮ Finite-sample properties of the Graybill-Deal estimator ⋮ Inferences on the common mean of several normal populations under heteroscedasticity ⋮ Noninformative priors for the common mean in the bivariate normal distribution ⋮ Equivariant estimation of common mean of several normal populations

Uses Software

• BayesDA

Cites Work

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• Estimation of a common mean and recovery of interblock information
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• A note on second-order admissibility of the Graybill-Deal estimator of a common mean of several normal populations.
• Estimation of the common mean of two univariate normal populations
• Unbiased estimation of the variance of the graybill-deal estimator of the common mean of several normal populations
• Estimation of location parameters from two linear models under normality
• Bayes and Fiducial Equivariant Estimators of the Common Mean of Two Normal Distributions
• Combining Unbiased Estimators

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