Approximation and Smoothing of Surfaces In (P+1)-Dimensional Spaces

Henning Läuter
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Henning Läuter: Academy of Sciences of the GDR, Institute of Mathematics

A chapter in Probability and Statistical Inference, 1982, pp 231-238 from Springer

Abstract: Abstract The parametric and non-parametric estimation of functional relations is an important part in mathematical statistics. We give in the first part an approximation procedure to surfaces which are defined on a p-dimensional region and are observable (disturbed with some noise) according to an experimental design. This procedure is a preliminary-classification approximation and includes the choice of joint hyperplanes for the construction of multivariate splines. In this procedure we compose a global approximation by local fitted functions.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-7840-9_21

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DOI: 10.1007/978-94-009-7840-9_21

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