L p-consistency of multivariate density estimates

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1982 English Publisher:Springer Science and Business Media LLCJournal:Annals of the Institute of Statistical Mathematics, volume 34, pages 457-466 (issn: 0020-3157, eissn: 1572-9052,

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Authors: Ahmad, Ibrahim A.;

doi: 10.1007/bf02481044

L p-consistency of multivariate density estimates

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Abstract

L p notion of the weak, mean, and strong consistency of the kernel method of multivariate density estimation is proposed and studied. The results expand, unify, or generalize most known results in the literature. Rates of convergence in mean and strongL p-consistencies are presented.

Related Organizations

University of Petroleum
Indonesia

Keywords

Density estimation, kernel method, \(L_p\) consistency, Estimation in multivariate analysis, density estimation, mean consistency, weak consistency, rates of convergence, strong consistency

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