Search Results - "Strawderman, William E."
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Shrinkage estimation of location parameters in a multivariate skew-normal distribution
Published in Communications in statistics. Theory and methods (17-04-2020)“…This paper studies decision theoretic properties of Stein type shrinkage estimators in simultaneous estimation of location parameters in a multivariate…”
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Combining Information from Independent Sources through Confidence Distributions
Published in The Annals of statistics (01-02-2005)“…This paper develops new methodology, together with related theories, for combining information from independent studies through confidence distributions. A…”
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On Charles Stein’s contributions to (in)admissibility
Published in The Annals of statistics (01-08-2021)“…Charles Stein made fundamental contributions to admissibility and inadmissibility in estimation and testing. This paper surveys some of the more important…”
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Dominance properties of constrained Bayes and empirical Bayes estimators
Published in Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability (01-11-2013)“…This paper studies decision theoretic properties of benchmarked estimators which are of some importance in small area estimation problems. Benchmarking is…”
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ADMISSIBLE BAYES EQUIVARIANT ESTIMATION OF LOCATION VECTORS FOR SPHERICALLY SYMMETRIC DISTRIBUTIONS WITH UNKNOWN SCALE
Published in The Annals of statistics (01-04-2020)“…This paper investigates estimation of the mean vector under invariant quadratic loss for a spherically symmetric location family with a residual vector with…”
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A New Class of Generalized Bayes Minimax Ridge Regression Estimators
Published in The Annals of statistics (01-08-2005)“…Let y = Aβ + ε where y is an N x 1 vector of observations,β is a p x 1 vector of unknown regression coefficients, A is an N x p design matrix and ε is a…”
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A review of Brown 1971 (in)admissibility results under scale mixtures of Gaussian priors
Published in Journal of statistical planning and inference (01-01-2023)“…Brown’s 1971 paper “Admissible estimators, recurrent diffusions and insoluble boundary value problems” is a landmark in the admissibility literature. It nearly…”
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Confidence Distributions and a Unifying Framework for Meta-Analysis
Published in Journal of the American Statistical Association (01-03-2011)“…This article develops a unifying framework, as well as robust meta-analysis approaches, for combining studies from independent sources. The device used in this…”
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Non-minimaxity of linear combinations of restricted location estimators and related problems
Published in Journal of statistical planning and inference (01-06-2011)“…The estimation of a linear combination of several restricted location parameters is addressed from a decision-theoretic point of view. Although the…”
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An extended class of minimax generalized Bayes estimators of regression coefficients
Published in Journal of multivariate analysis (01-11-2009)“…We derive minimax generalized Bayes estimators of regression coefficients in the general linear model with spherically symmetric errors under invariant…”
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On combining unbiased and possibly biased correlated estimators
Published in Japanese journal of statistics and data science (07-03-2023)“…We study estimators that combine an unbiased estimator with a possibly biased correlated estimator of a mean vector. The combined estimators are shrinkage-type…”
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Generalized Bayes minimax estimators of location vectors for spherically symmetric distributions
Published in Journal of multivariate analysis (01-04-2008)“…Let X ∼ f ( ∥ x - θ ∥ 2 ) and let δ π ( X ) be the generalized Bayes estimator of θ with respect to a spherically symmetric prior, π ( ∥ θ ∥ 2 ) , for loss ∥ δ…”
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Minimax estimation of a restricted mean for a one-parameter exponential family
Published in Journal of statistical planning and inference (01-05-2021)“…For one-parameter exponential families, we provide a unified minimax result for estimating the mean under weighted squared error losses in the presence of a…”
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14
A Gaussian sequence approach for proving minimaxity: A Review
Published in Journal of statistical planning and inference (01-03-2021)“…This paper reviews minimax best equivariant estimation in three invariant estimation problems: a location parameter, a scale parameter and a (Wishart)…”
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A sharp boundary for SURE-based admissibility for the normal means problem under unknown scale
Published in Journal of multivariate analysis (01-11-2017)“…We consider quasi-admissibility/inadmissibility of Stein-type shrinkage estimators of the mean of a multivariate normal distribution with covariance matrix an…”
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Portfolio selection using hierarchical Bayesian analysis and MCMC methods
Published in Journal of banking & finance (01-02-2006)“…This paper contributes to portfolio selection methodology using a Bayesian forecast of the distribution of returns by stochastic approximation. New…”
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17
Bayes minimax estimators of the mean of a scale mixture of multivariate normal distributions
Published in Journal of multivariate analysis (2008)“…Bayes estimation of the mean of a variance mixture of multivariate normal distributions is considered under sum of squared errors loss. We find broad class of…”
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On priors which give Bayes minimax estimators of Baranchik’s form
Published in Japanese journal of statistics and data science (04-04-2023)“…We study the construction of prior distributions which give Bayes minimax estimators of a normal mean vector. Particular attention is paid to priors which are…”
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On An Intriguing Distributional Identity
Published in The American statistician (02-01-2019)“…For a continuous random variable X with support equal to (a, b), with c.d.f. F, and g: Ω 1 → Ω 2 a continuous, strictly increasing function, such that Ω 1 ∩Ω 2…”
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