Statistics
A nonparametric test for conditional symmetry in nonstationary and absolutely regular dynamical models
Comptes Rendus. Mathématique, Volume 348 (2010) no. 17-18, pp. 1021-1026

In this Note, we reconsider the test for symmetry of the errors distribution in a class of heteroscedastic models proposed by Ngatchou-Wandji (2009). In the new study, the observations, as well as the errors, are not necessarily stationary but are required to be absolutely regular.

Dans cette Note, nous reconsidérons le test de symétrie de la loi du bruit dans une classe de modèles hétéroscédastiques proposé par Ngatchou-Wandji (2009). Le cadre de notre étude est celui où, aussi bien les observations que les erreurs, ne sont plus nécessairement stationnaires, mais absolument régulières.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2010.09.007

Ngatchou-Wandji, Joseph 1; Harel, Michel 2, 3; Elharfaoui, Echarif 4, 3

1 EHESP, Rennes and Université Henri-Poincaré, 54506 Vandoeuvre-lès-Nancy cedex, France
2 IUFM du Limousin, 209, boulevard de Vanteaux, 87036 Limoges cedex, France
3 IMT (UMR CNRS 5219), Université Paul-Sabatier, 31062 Toulouse cedex, France
4 EMMID, Département de mathématiques et informatique, université Chouaîb-Doukkali, faculté des sciences El-Jadida, route Ben-Maachou, B.P. 20, 24000, Morocco
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Ngatchou-Wandji, Joseph; Harel, Michel; Elharfaoui, Echarif. A nonparametric test for conditional symmetry in nonstationary and absolutely regular dynamical models. Comptes Rendus. Mathématique, Volume 348 (2010) no. 17-18, pp. 1021-1026. doi: 10.1016/j.crma.2010.09.007

[1] Bai, J.; Ng, S. A consistent test for conditional symmetry in time series models, J. Econometrics, Volume 103 (2001), pp. 225-258

[2] Delgado, M.A.; Escanciano, J.C. Nonparametric tests for conditional symmetry in dynamic models, J. Econometrics, Volume 141 (2007), pp. 652-682

[3] Imhof, J.P. Computing the distribution of quadratic forms in normal variables, Biometrika, Volume 48 (1961), pp. 419-426

[4] Ngatchou-Wandji, J. Testing symmetry of the error distribution in nonlinear heteroscedastic models, Comm. Statist. Theory Methods, Volume 38 (2009), pp. 1465-1485

[5] Pérez–Alonso, A. A bootstrap approach to test the conditional symmetry in time series models, Comput. Statist. Dat. Anal., Volume 51 (2007), pp. 3484-3504

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