Asymptotic normality of spline estimator when the errors are a linear stationary process
Authors:
Beno
t Truong-Van a;
Noëlle Bru b
t Truong-Van a;
Noëlle Bru b
| Affiliations: | a Lahomtoire de Statistique et Pmbabilit s, Universit Paul Sabatier, Toulouse, France |
b Laboratoire de Statistique et d'Analyse des Donn es, Universit Pierre Mend s, Grenoble, France |
DOI:
10.1080/10485250108832875
Publication Frequency:
8 issues per year
Subjects:
Mathematical Economics;
Mathematical Finance;
Medical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
Formats available:
PDF
(English)
View Article:
View Article (PDF)
Abstract
Smoothing splines are considered for estimating an unknown regular function when the errors in the observations are dependent This dependence is modelled here by assuming that the errors form a linear stationary process defined over some sequence of martingale differences. Some statistical properties of the smoothing spline estimator under consideration are studied and mainly its asymptotic normality is established
|
| Keywords: Spline regression; Martingale differences; Linear stationary process; Asymptotic normality |
| view references (23) |

Download Citation


s, Universit
CiteULike
Del.icio.us
BibSonomy
Connotea