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Statistical Engineering Division Seminar

Confidence Sets for Parameters of a Linear Model and Dirichlet Averages

Dr. Andrew Rukhin
Statistical Engineering Division/ITL
Wednesday, March 4, 2009, 11:00-12:00 AM
Building 222, Room A326

Abstract

A method is suggested for constructing a conservative confidence region for the parameters of a linear model on the basis of a linear estimator. 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 formulas for the smallest volume and the corresponding critical constant are derived. The required optimization problem is formulated and some properties of its solution are found by using properties of Dirichlet averages. The method is compared to several resampling schemes by Monte Carlo simulation, and particular cases of one or two parameters are examined.

NIST Contact: Dr. Charles Hagwood, (301) 975-3208.

Date created: 3/2/2009
Last updated: 3/2/2009
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