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 |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
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: | 20 May 2025 11:33 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/20833 (The current URI for this page, for reference purposes) |
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