Volume 5, 1998Fractional Differential Systems: Models, Methods and Applications
|Page(s)||29 - 41|
|Published online||15 August 2002|
Recent advances on the semi-parametric estimation of the long-range dependence coefficient
Université Paul Sabatier Toulouse III, Laboratoire de Statistiques et de Probabilités, 118 route de Narbonne, 31004 Toulouse Cedex, France
2 ENST/TSI & CNRS, URA 820, GdR ISIS, 46, rue Barrault, 75 634 Paris Cedex 13, France
3 Université d'Evry Val d'Essonne, Laboratoire de Mathématiques et d'Informatique, 91025 Evry Cedex, France
Semi-parametric estimation of the long-range dependence parameter was a subject of major interest in recent years. The purpose of this paper is to put in a common framework several recent contributions of that topic. We will focus in particular on spectral methods, which consist in estimating the exponent of the singularity of the spectral density function at zero frequency and on time-domain methods, which are based on the estimation on the rate of convergence to zero of the autocovariance coefficients and/or on the scaling of the variance of processes deduced from the original process by generalized aggregation.
© EDP Sciences, ESAIM, 1998
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.