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On residual sums of squares in nonparametric autoregression

Cheng, B., Tong, Howell (1993) On residual sums of squares in nonparametric autoregression. Stochastic Processes and their Applications, 48 (1). pp. 157-174. ISSN 0304-4149. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:20833)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.

Abstract

By relying on the theory of U-statistics of dependent data, we have given a detailed analysis of the residual sum of squares, RSS, after fitting a nonlinear autoregression using the kernel method. The asymptotic bias of the RSS as an estimator of the noise variance is evaluated up to and including the first order term. A similar quantity, the cross validated residual sum of squares obtained by 'leaving one out' in the fitting is similarly analysed. An asymptotic positive bias is obtained.

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: R.F. Xu
Date Deposited: 05 Oct 2009 15:31 UTC
Last Modified: 16 Nov 2021 09:58 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/20833 (The current URI for this page, for reference purposes)

University of Kent Author Information

Tong, Howell.

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