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Non-causalité et discrétisation fonctionnelle théorèmes limites pour un processus ARHX(1)

Guillas, S; (2000) Non-causalité et discrétisation fonctionnelle théorèmes limites pour un processus ARHX(1). Comptes Rendus de l'Academie des Sciences - Series I: Mathematics , 331 (1) 91 - 94.

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Abstract

We generalize to Banach valued processes various concepts of noncausality in discrete and continuous time. Preservation of noncausality by functional discretization of a process with continuous sample paths is then considered. Finally, limit theorems (law of large numbers and central limit theorem) are established for autoregressive Hilbertian processes of order one with exogenous variables. © 2000 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS.

Type:Article
Title:Non-causalité et discrétisation fonctionnelle théorèmes limites pour un processus ARHX(1)
UCL classification:UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Statistical Science

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