Choix de l'ordre des modèles autorégressifs fonctionnels additifs
Imam, W. ; Matzner-Løber, E. ; Aifoute, A.-S.
Revue de Statistique Appliquée, Tome 47 (1999), p. 63-80 / Harvested from Numdam
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Publié le : 1999-01-01
@article{RSA_1999__47_1_63_0,
     author = {Imam, W. and Matzner-L\o ber, E. and Aifoute, A.-S.},
     title = {Choix de l'ordre des mod\`eles autor\'egressifs fonctionnels additifs},
     journal = {Revue de Statistique Appliqu\'ee},
     volume = {47},
     year = {1999},
     pages = {63-80},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/RSA_1999__47_1_63_0}
}

Imam, W.; Matzner-Løber, E.; Aifoute, A.-S. Choix de l'ordre des modèles autorégressifs fonctionnels additifs. Revue de Statistique Appliquée, Tome 47 (1999) pp. 63-80. http://gdmltest.u-ga.fr/item/RSA_1999__47_1_63_0/

Auestad B. et Tjøstheim D. (1990), Identification of nonlinear time series : first order characterization and order determination, Biometrika, 77, 4, 669-687. | MR 1086681

Bosq D. (1979), Sur la prédiction non paramétrique de variables aléatoires et mesures aléatoires, Pub. interne, U.E.R de Mathématiques, Lille.

Breiman L. et Freidman J.F. (1985), Estimating optimal transformations for multiple regression and correlation, (with discussion, Journal of the American Stastitical Association, 80, 580-618. | MR 803258 | Zbl 0594.62044

Chen R. et Tsay R.S. (1993), Nonlinear additive ARX models, Journal of the American Statistical Association, 88, 298-308. | MR 1212492

Cheng B. et Tong H. (1992), On consistent nonparametric order determination and chaos, Journal of the Royal Statistical Society, Series B, 54, 427-449. | MR 1160478 | Zbl 0782.62081

Ciuperca G. (1997), Prévision de l'ozone en région Parisienne, XXIXe Journées de Statistique ASU, 265-266.

Collomb G. (1980), Prédiction non paramétrique : étude de l'erreur quadratique du predictogramme, Pub. interne, Univ. P. Sabatier, Toulouse.

Collomb G., Härdle W. et Hassani S. (1987), A note on prediction via estimation of the conditional mode function, Journal of Statistical Planning and Inference, 15, 227 -236. | MR 873010 | Zbl 0614.62045

Durand J.F. (1993), Generalized principal component analysis with respect to instrumental variables via univariate spline transformations, Computational Statistics and Data Analysis, 16, 423-440. | MR 1241485 | Zbl 0937.62604

Escoufier Y. (1987), Principal components analysis with respect to instrumental variables, European Courses in Advanced Statistics, University of Napoli, 285-299.

Gannoun A. (1989), Estimation de la médiane conditionnelle. Thèse de Doctorat de l'Université de Paris VI.

Hastie T. et Tibshirani R. (1990), Generalized additive models, London, Chapman and Hall. | MR 1082147 | Zbl 0747.62061

Imam W. et Durand J.F. (1997), Une extension spline additive de l'Analyse en Composantes Principales sur Variables Instrumentales, XXIX e Journées de Statistique ASU, 468-471.

Jones D.A. (1978), Non-linear autoregressive processes, Journal of the Royal Statistical Society, Series A, 360, 71-95. | MR 501672 | Zbl 0378.62076

Masry E. et Tjøstheim D. (1995), nonparametric estimation and identification of nonlinear time series, Econometric Theory, 11, 258- 289. | MR 1341250

Rao C.R. (1964), The use and the interpretation of principal component analysis in applied research, Sankhya A, 26, 329-356. | MR 184375 | Zbl 0137.37207

Robinson P.M. (1983), Nonparametric estimators for time series, Journal of Time Series Analysis, 4, 185-207. | MR 732897 | Zbl 0544.62082

Schumaker L.L. (1981) Spline Functions : Basic Theory, Wiley, New York. | MR 606200 | Zbl 0449.41004

Tibshirani R. (1988), Estimating transformations for regression via additivity and variance stabilization, Journal of the American Statistical Association, 83, 394-405. | MR 971365

Tjøstheim D. et Auestad B. (1994a), Nonparametric identification of nonlinear time series : projections, Journal of the American Statistical Association, 89, 1398-1409. | MR 1310230 | Zbl 0813.62036

Tjøstheim D. et Auestad B. (1994b), Nonparametric identification of nonlinear time series : selecting significant lags, Journal of the American Statistical Association, 89, 1410-1419. | MR 1310231 | Zbl 0813.62037

Tong H. (1995), Non linear Time Series, London, Oxford. | Zbl 0835.62076

Vieu P. (1995), Order choice in nonlinear autoregressive models, Statistics, 26, 307-328. | MR 1365681 | Zbl 0836.62067