Estimation of normal means in the tree order model by the weighting methods

DOI10.1080/03610918.2018.1554115zbMath1489.62095OpenAlexW2913332597MaRDI QIDQ5083980

Mohammad Khanjari Sadegh, Reza Momeni, J. Etminan

Publication date: 21 June 2022

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2018.1554115

zbMATH Keywords

mean squared errorbiasrestricted maximum likelihood estimatorisotonic regression estimatortree order constraint

Mathematics Subject Classification ID

Point estimation (62F10) Parametric inference under constraints (62F30)

Cites Work

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• Improved estimators for the common means of two normal distributions with ordered variances
• Statistical inference under order restrictions in analysis of covariance using a modified restricted maximum likelihood estimator
• Quadratic loss of order restricted estimators for treatment means with a control
• Stochastic reduction of loss in estimating normal means by isotonic regression
• The quadratic loss of isotonic regression under normality
• Confidence interval estimation subject to order restrictions
• On the bias and mean-square error of order-restricted maximum likelihood estimators
• Inference for the model of several treatments and a control
• Constrained Statistical Inference
• Conditional Expectation Given A $\sigma$-Lattice and Applications

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