Closer estimators of a common mean in the sense of Pitman

DOI10.1007/BF00050663zbMath0702.62023OpenAlexW2045871711WikidataQ112879190 ScholiaQ112879190MaRDI QIDQ915297

Tatsuya Kubokawa

Publication date: 1989

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00050663

zbMATH Keywords

normal populationssample meanPitman closenessGraybill-Deal estimatordifferent unknown variancesestimators of common mean

Mathematics Subject Classification ID

Point estimation (62F10)

Related Items (8)

Pitman closeness domination in predictive density estimation for two-ordered normal means under \(\alpha \)-divergence loss ⋮ Improved estimators for the common means of two normal distributions with ordered variances ⋮ Estimation of two ordered normal means under modified Pitman nearness criterion ⋮ Robust estimation of common regression coefficients under spherical symmetry ⋮ Comparison of preliminary test estimators based on generalized order statistics from proportional hazard family using Pitman measure of closeness ⋮ On estimating common mean of several inverse Gaussian distributions ⋮ Jackknife variance estimation for general two-sample statistics and applications to common mean estimators under ordered variances ⋮ On estimating the common mean of several normal populations under the pitman closeness criterion

Cites Work

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• Estimation of a common mean of two normal distributions
• Admissible minimax estimation of a common mean of two normal populations
• Estimation of a common mean and recovery of interblock information
• Point and confidence estimation of a common mean and recovery of interblock information
• The Stein paradox in the sense of the Pitman measure of closeness
• Estimation of location parameters from two linear models under normality
• On pitman nearness and variance of estimators
• The pitman nearness criterion and its determination
• Combining Unbiased Estimators

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