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Least squares fitting of compact set-valued data. (English) Zbl 0704.65006

The aim of this paper is to present least squares fitting of compact set- valued data (applicable to systems and control, mathematical economics, statistics and numerical analysis error studies). Two models are considered: (a) interval-valued output observed from interval-valued input; (b) interval-valued output resulting from exact real input. Measure of goodness-of-fit is also discussed. Two examples are given.
Reviewer: M.Gaşpar (Iaşi)

MSC:

65D10 Numerical smoothing, curve fitting
65K10 Numerical optimization and variational techniques
93D25 Input-output approaches in control theory
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