Nonparametric Estimation of Optimal Performance Criteria in Quality Engineering

摘要

The report discusses 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. (kr)