Nonparametric estimation of the location of a maximum in a response surface

Authors:
Matthew R. Facer;Hans-Georg Müller
Affiliations:
California Department of Health Services, Sacramento, CA;Department of Statistics, University of California, Davis, One Shields Avenue, Davis, CA
Venue:
Journal of Multivariate Analysis
Year:
2003

Citing 3
Cited 0

Response surface methodology: 1966–1988

Technometrics
Multiparameter bandwidth processes and adaptive surface smoothing

Journal of Multivariate Analysis
Estimation of the location of the maximum of a regression function using extreme order statistics

Journal of Multivariate Analysis

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Abstract

We explore a nonparametric version of response surface analysis. Estimates for the location where maximum response occurs are proposed and their asymptotic distribution is investigated. The proposed estimates are based on kernel and local least squares methods. We construct asymptotic confidence regions for the location and include comparisons with the quadratic response surface approach. The methods are illustrated for the two-dimensional case with AIDS incidence data, where the point of maximum incidence is of interest.