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...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
Springer
2013-08-01
|
Series: | Journal of Statistical Theory and Applications (JSTA) |
Subjects: | |
Online Access: | https://www.atlantis-press.com/article/8355.pdf |