Sieve estimator of the operator in ARB(1) process
We consider the sieve estimator of the operator of a Banach autoregressive process. We show the almost sure convergence when the operator is 2-summing, strictly 2-integral, afterwards 2-nuclear for the adequate norms.
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| Veröffentlicht in: | Comptes rendus. Mathématique 2003-04, Vol.336 (7), p.605-610 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng ; fre |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We consider the sieve estimator of the operator of a Banach autoregressive process. We show the almost sure convergence when the operator is 2-summing, strictly 2-integral, afterwards 2-nuclear for the adequate norms. |
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| ISSN: | 1631-073X 1778-3569 |
| DOI: | 10.1016/S1631-073X(03)00061-X |