Generalized Projection Pursuit Regression and Density Approximation

Lidia Rejtö and Gilbert G. Walter
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Lidia Rejtö: University of Delaware, Department of Mathematical Sciences
Gilbert G. Walter: University of Delaware, Department of Mathematical Sciences

A chapter in Computing Science and Statistics, 1992, pp 501-503 from Springer

Abstract: Abstract The paper deals with a generalization of the projection pursuit regression algorithm (see P.Huber [3]) in Hilbert space. The strong convergence of the generalized algorithm is first proved and this result then applied to certain spaces in order to define a new density estimator and to obtain results on density approximation.

Keywords: Hilbert Space; Sobolev Space; Density Approximation; Greedy Algorithm; Cauchy Sequence (search for similar items in EconPapers)
Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-2856-1_87

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DOI: 10.1007/978-1-4612-2856-1_87

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