Sieve estimator of the operator in ARB(1) process;Estimateur crible de l'opérateur d'un processus ARB(1)

Comptes Rendus Mathematique

Volumn 336, Issue 7, 2003, Pages 605-610

  Rachedi, Fatiha ^a   Mourid, Tahar ^a  

^a UNIVERSITY OF TLEMCEN   (Algeria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037715205     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(03)00061-X     Document Type: Article

References (10)

1. A. Antoniadis, J.H. Beder, Joint estimation of the mean and the covariance of a Banach valued gaussien vector, Statistics 20 (1) (1989) 77-93.
2. N. Bensmain, T. Mourid, Estimateur sieve de l'opérateur d'un processus ARH(1), C. R. Acad. Sci. Paris, Sér I 332 (2001) 368-372.
3. D. Bosq, Linear Processes in Function Spaces: Theory and Applications, Springer, 2000.
4. D. Bosq, T. Mourid, On the equivalence of the measures induced by Banach valued Gaussian autoregressive processes, Stochastic Anal. Appl. 17 (2) (1999) 137-144.
5. J. Diestel. H. Jarchow, A. Tonge, Absolutely Summing Operators, Cambridge University Press, Cambridge, 1995.
6. S. Geman, C.R. Hwang, Nonparametric maximum likelihood estimation by the method of sieves, Ann. Statist. 10 (1982) 401-414.
7. U. Grenander, Abstract Inference, Wiley, New York, 1981.
8. H.H. Kuo, Gaussian Measures in Banach Spaces, in: Lecture Notes in Math., Vol. 436, Springer-Verlag, New York, 1975.
9. J. Lindenstrauss, L. Tzafiri, Classical Banach Spaces I: Sequences Spaces, in: Ser. Modern Surveys in Math., Springer-Verlag, 1977.
10. A. Pelczynski, All separable Banach spaces admit for every E > 0 fondamental and total biorthogonal sequences bounded by (1 + E), Studia Math. 55 (1976) 295-304.