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October, 1970 The Sequential Generation of $D$-Optimum Experimental Designs
Henry P. Wynn
Ann. Math. Statist. 41(5): 1655-1664 (October, 1970). DOI: 10.1214/aoms/1177696809


It is possible to obtain convergence to a $D$-optimum measure, as defined by Kiefer and Wolfowitz, by successively adding points to a given initial experimental design. The points added correspond to points of maximum variance of the usual least squares estimate of the response mean for the particular regression model at each stage. A new bound is given for the generalized variances involved and an example is worked out.


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Henry P. Wynn. "The Sequential Generation of $D$-Optimum Experimental Designs." Ann. Math. Statist. 41 (5) 1655 - 1664, October, 1970.


Published: October, 1970
First available in Project Euclid: 27 April 2007

zbMATH: 0224.62038
MathSciNet: MR267704
Digital Object Identifier: 10.1214/aoms/1177696809

Rights: Copyright © 1970 Institute of Mathematical Statistics

Vol.41 • No. 5 • October, 1970
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