Nonparametric Estimation of Optimal Performance Criteria in Quality Engineering

Abstract

Box (1987) and Leon et al. (1987) discuss the problem of closeness to target in quality engineering. If the mean response f(x,z) depends on (x,z), the variance function is a PERMIA if it is g(z), i.e., depends only on z. The goal is to find (x sub o, z sub o) which minimizes variance while achieving a target mean value. The authors pose and answer the question: for given smoothness assumptions about f and g, how accurately can we estimate x sub o and z sub o? As part of the investigation, they also find optimal rates of convergence for estimating f,g and their derivatives. Keywords: Nonparametric regression, Performance measure, Quality control, Variance function estimation, Quality engineering.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1988
Accession Number
ADA198315

Entities

People

  • Peter Hall
  • Raymond J. Carroll

Organizations

  • University of North Carolina at Chapel Hill

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  • C4I

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  • Multivariate Analysis
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  • Statistics
  • Two Dimensional
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