On best unbiased prediction and its relationships to unbiased estimation

DOI10.1016/S0378-3758(99)00152-4zbMath0960.62100WikidataQ127014969 ScholiaQ127014969MaRDI QIDQ1972166

Tapan K. Nayak

Publication date: 20 May 2001

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

zbMATH Keywords

mean squared errorunbiasednessmixed linear modellinear predictorprediction sufficiencyRao-Cramer inequality

Mathematics Subject Classification ID

Inference from stochastic processes and prediction (62M20) Point estimation (62F10)

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Cites Work

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• Bayesian prediction in linear models: Applications to small area estimation
• On statistical analysis of a sample from a population of unknown species
• Extension of the Gauss-Markov theorem to include the estimation of random effects
• Prediction sufficiency when the loss function does not depend on the unknown parameter
• Linear estimation of the probability of discovering a new species
• Predictive likelihood: A review. With comments and a rejoinder by the author
• That BLUP is a good thing: The estimation of random effects. With comments and a rejoinder by the author
• Admissibility of estimators of the probability of unobserved outcomes
• Admissibility results in loss estimation
• A general framework for model-based statistics
• On the Generalization of the Likelihood Function and the Likelihood Principle
• Decomposition of Prediction Error
• On the Frequentist Proper Ties of Some Hierarchical Bayes Predictors in Finite Populattion Sampling
• On prediction and mean squared error
• On umvu estimation following selection
• On estimating the conditional probability of discovering a new species
• Estimating the Parameter of a Selected Population
• Best Linear Unbiased Prediction in the Generalized Linear Regression Model
• Adequate Subfields and Sufficiency
• Estimating the Total Probability of the Unobserved Outcomes of an Experiment
• Linear Statistical Inference and its Applications

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