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Article Dans Une Revue Sequential Analysis Année : 2016

Sequential robust estimation for nonparametric autoregressive models

Résumé

We construct a robust truncated sequential estimator for the point- wise estimation problem in nonparametric autoregression models with smooth coe cients. For Gaussian models we propose an adaptive pro- cedure based on the constructed sequential estimators. The minimax nonadaptive and adaptive convergence rates are established. It turns out that in this case these rates are the same as for regression models.
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Dates et versions

hal-02334873 , version 1 (29-10-2019)

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Citer

Ouerdia Arkoun, Serguei Pergamenchtchikov. Sequential robust estimation for nonparametric autoregressive models. Sequential Analysis, 2016, 35, pp.489 - 515. ⟨10.1080/07474946.2016.1238261⟩. ⟨hal-02334873⟩
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