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Bandwidth selection for the Wolverton–Wagner estimator

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Abstract For n independent random variables having the same Holder continuous density, this paper deals with controls of the Wolverton–Wagner’s estimator MSE and MISE. Then, for a bandwidth h n… Click to show full abstract

Abstract For n independent random variables having the same Holder continuous density, this paper deals with controls of the Wolverton–Wagner’s estimator MSE and MISE. Then, for a bandwidth h n ( β ) , estimators of β are obtained by a Goldenshluger–Lepski type method and a Lacour–Massart–Rivoirard type method. Some numerical experiments are provided for this last method.

Keywords: wolverton wagner; wagner estimator; selection wolverton; bandwidth selection

Journal Title: Journal of Statistical Planning and Inference
Year Published: 2020

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