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June, 1958 Intersection Region Confidence Procedures with an Application to the Location of the Maximum in Quadratic Regression
David L. Wallace
Ann. Math. Statist. 29(2): 455-475 (June, 1958). DOI: 10.1214/aoms/1177706622

Abstract

Confidence region procedures for multidimensional quantities sometimes require prohibitive amounts of computation and the regions are difficult to represent in a useful way. Some approximate procedures are constructed by using regions obtained as the intersection of several regions, each much easier to construct. The procedures are applicable to the solution of simultaneous equations, whose coefficients are subject to random error. Approximations by convex polyhedra and by parallelepipeds are proposed. The procedures are illustrated for setting a confidence region for the location of the vertex of a quadratic regression surface.

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David L. Wallace. "Intersection Region Confidence Procedures with an Application to the Location of the Maximum in Quadratic Regression." Ann. Math. Statist. 29 (2) 455 - 475, June, 1958. https://doi.org/10.1214/aoms/1177706622

Information

Published: June, 1958
First available in Project Euclid: 27 April 2007

zbMATH: 0099.14404
MathSciNet: MR95551
Digital Object Identifier: 10.1214/aoms/1177706622

Rights: Copyright © 1958 Institute of Mathematical Statistics

Vol.29 • No. 2 • June, 1958
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