Functional estimation of a density under a weak dependence condition;Estimation de la densité d'une suite faiblement dépendante

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 327, Issue 12, 1998, Pages 989-992

  Doukhan, Paul ^a   Louhichi, Sana ^b  

^a UNIVERSITÉ DE CERGY PONTOISE   (France)

^b UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032349776     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(99)80166-9     Document Type: Article

References (13)

1. [1] Ango Nze P., Doukhan P., Functional estimation for times series: Uniform convergence properties, J. Statis. Plann. Inf. 68 (1998) 5-29.
2. [2] Bosq D., Lecoutre J.P., Théorie de l'estimation fonctionnelle, Economica (1987).
3. [3] Doukhan P., Mixing: Properties and Examples, Lect. Notes in Statis. 85, Springer-Verlag, 1994.
4. [4] Doukhan P., Louhichi S., Weak dependence and moment inequalities, Prépublication 97.08, Université Paris-Sud, 1997.
5. [5] Doukhan P., Louhichi S., Functional estimation of a density under a new weak dependence condition, Prépublication, Université de Cergy-Pontoise, 1997.
6. [6] Doukhan P., Portal F., Principe d'invariance faible pour la fonction de répartition empirique dans un cadre multidimensionnel et mélangeant, Probab. Math. Statis. 8.2 (1987) 117-132.
7. [7] Esary J., Proschan F., Walkup D., Association of random variables with applications, Ann. Math. Statis. 38 (1967) 1466-1476.
8. [8] Györfi L., Härdle W., Sarda P., Vieu P., Nonparametric curve estimation from time series, Lect. Notes in Statis. 60, Springer, Berlin, 1989.
9. [9] Liebscher E., Strong convergence of sums of α-mixing random variables with applications to density estimation, Stoch. Proc. Appl. 65 (1996) 69-80.
10. [10] Robinson P.M., Nonparametric estimators for time series, J.T.S.A. 4-3 (1983) 185-207.
11. [11] Rosenblatt M., Stochastic curve estimation, NSF-CBMS Regional Conference Series in Probability and Statistics, 3, 1991.
12. [12] Tran L.T., Recursive kernel density estimators under a weak dependence condition, Ann. Inst. Statis. Math. 42 (1990) 305-329.
13. [13] Tong H., A note on a Markov bilinear stochastic process in discrete time, J.T.S.A. 2-4 (1981) 279-284.