IRIS - Institutional Research Information System
IRIS è il sistema di gestione integrata dei dati della ricerca adottato dalla Luiss Guido Carli. Il Catalogo dei prodotti della ricerca della Luiss raccoglie e rende disponibile, dove possibile nel rispetto del diritto d'autore, la produzione scientifica dei docenti e ricercatori dell'Ateneo. Il Catalogo alimenta inoltre i siti docenti del MIUR.
EnglishWe study the problem of constructing confidence intervals for the long-memory parameter of stationary Gaussian processes with long-range dependence. The focus is on confidence intervals for the wavelet estimator introduced by Abry and Veitch (1998). We propose an approximation to the distribution of the estimator based on subsampling and use it to construct confidence intervals for the long-memory parameter. The performance of these confidence intervals, in terms of both coverage probability and length, is studied by using a Monte Carlo simulation. The proposed confidence intervals have more accurate coverage probability than the method of Abry and Veitch (1999), and are easy to compute in practice. Key words and phrases. Long-range dependence, resampling, wavelets, Hurst parameter.
Confidence intervals for the long memory parameter based on wavelets and resampling / CONTI P., L; DE GIOVANNI, Livia; Stoev, A; Taqqu, M.. - In: STATISTICA SINICA. - ISSN 1017-0405. - 18:2(2008), pp. 559-579.
| Titolo: | Confidence intervals for the long memory parameter based on wavelets and resampling | |
| Autori: | ||
| Data di pubblicazione: | 2008 | |
| Rivista: | ||
| Citazione: | Confidence intervals for the long memory parameter based on wavelets and resampling / CONTI P., L; DE GIOVANNI, Livia; Stoev, A; Taqqu, M.. - In: STATISTICA SINICA. - ISSN 1017-0405. - 18:2(2008), pp. 559-579. | |
| Abstract: | We study the problem of constructing confidence intervals for the long-memory parameter of stationary Gaussian processes with long-range dependence. The focus is on confidence intervals for the wavelet estimator introduced by Abry and Veitch (1998). We propose an approximation to the distribution of the estimator based on subsampling and use it to construct confidence intervals for the long-memory parameter. The performance of these confidence intervals, in terms of both coverage probability and length, is studied by using a Monte Carlo simulation. The proposed confidence intervals have more accurate coverage probability than the method of Abry and Veitch (1999), and are easy to compute in practice. Key words and phrases. Long-range dependence, resampling, wavelets, Hurst parameter. | |
| Handle: | http://hdl.handle.net/11385/6038 | |
| Appare nelle tipologie: | 01.1 - Articolo su rivista (Article) |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| abstractssinica2008.pdf | Abstract | DRM non definito | Administrator | |
| statsin_08.pdf | Documento in Post-print | DRM non definito | Administrator |
Pubblicazioni consigliate
Copyright © 2022