ESTIMATION OF ADDITIVE ERROR IN MIXED SPECTRA FOR STABLE PROCESSES

Affiliation auteursAffiliation ok
TitreESTIMATION OF ADDITIVE ERROR IN MIXED SPECTRA FOR STABLE PROCESSES
Type de publicationJournal Article
Year of Publication2017
AuteursSabre R
JournalSTATISTICA
Volume77
Pagination75-90
Type of ArticleArticle
ISSN0390-590X
Mots-clésJackson kernel, Spectral density, Stable processes
Résumé

Consider a symmetric alpha stable process having a spectral representation with an additive constant error. An estimator of that error and its rate of convergence are given. We study the rate of convergence when the spectral density have some behaviors at origin. Few long memory processes are taken here as example.