Non-Parametric Residual Variance Estimation in Supervised Learning

Abstract

The Residual Variance Estimation Problem is Well-Known in Statistics and Machine Learning with Many Applications for Example in the Field of Nonlinear Modelling. in This Paper, We Show that the Problem Can Be Formulated in a General Supervised Learning Context. Emphasis is on Two Widely Used Non-Parametric Techniques Known as the Delta Test and the Gamma Test. under Some Regularity Assumptions, a Novel Proof of Convergence of the Two Estimators is Formulated and Subsequently Verified and Compared on Two Meaningful Study Cases. © Springer-Verlag Berlin Heidelberg 2007.

Department(s)

Engineering Management and Systems Engineering

International Standard Book Number (ISBN)

978-354073006-4

International Standard Serial Number (ISSN)

1611-3349; 0302-9743

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Springer, All rights reserved.

Publication Date

01 Jan 2007

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