Laws of the iterated logarithm for nonparametric sequential density estimators

In this note, we establish a law of iterated logarithm for a triangular array of a random number of independent random variables and apply it to obtain laws of iterated logarithm for the sequential nonparametric density estimators. We consider the case of Rosenblatt-Parzen kernel estimators and orth...

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Bibliographic Details
Main Authors: Karima Lagha, Smail Adjabi
Format: Article
Language:English
Published: Atlantis Press 2013-08-01
Series:Journal of Statistical Theory and Applications (JSTA)
Subjects:
Online Access:https://www.atlantis-press.com/article/8355.pdf