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Publication Citation: Confidence Regions for Parameters of Linear Models

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Author(s): Andrew L. Rukhin;
Title: Confidence Regions for Parameters of Linear Models
Published: April 01, 2010
Abstract: A method is suggested for constructing a conservative confidence region for the parameters of a general linear model. In meta-analytical applications, when the results of independent but heterogeneous studies are to be combined, this region can be employed with little to no knowledge of error variances. The required optimization problem is formulated and some properties of its solution are found.
Citation: Statistica Sinica
Pages: 19 pp.
Keywords: Cauchy-Binet formula, Dirichlet averages, General linear model, meta-analysis, weighted bootstrap and jackknife variance estimators, zonal polynomials, Schur-convexity
Research Areas: Information Technology, Statistics
PDF version: PDF Document Click here to retrieve PDF version of paper (236KB)