Rate of complete second-order moment convergence and theoretical applications

Autor:	M. Madi, I. Laroussi
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Kernel density estimator kernel distribution estimator kernel quantile estimator complete moment convergence nonparametric estimation rate of convergence Science (General) Q1-390
Zdroj:	Journal of Taibah University for Science, Vol 16, Iss 1, Pp 566-574 (2022)
Druh dokumentu:	article
ISSN:	16583655 1658-3655
DOI:	10.1080/16583655.2022.2082179
Popis:	The purpose of this work is to present a novel mode of convergence, complete second-order moment convergence with rate, which implies almost complete convergence and gives a smaller rate of convergence. Indeed, this mode is easier to obtain and gives better performances than those of the almost complete convergence in the case of the nonparametric estimators with kernels of the density function, of the distribution function and of the quantile function. A great advantage of the proposed approach is that less conditions are imposed to the kernel function thanks to the use of the mean squared error expression.
Databáze:	Directory of Open Access Journals
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