Title : ( Exponential rates for negatively associated random variables based on kernel density function )
Authors: Hadi Jabbari Nooghabi ,
Full TextAbstract
Under mild conditions on the covariance structure of the sample, we estimate density function of negatively associated random variables based on kernel estimator and prove exponential rates for this estimator with a uniform version, over compact sets. The proof uses a block decomposition of the sums to allow an approximation to independence. Some examples supposing exponential but also polynomial rates on the covariances that fulfill our assumptions are presented in the last section.
Keywords
, Covariance Function, Exponential Rates, Kernel Estimation, Negative Association
@inproceedings{paperid:1023273,
author = {Jabbari Nooghabi, Hadi},
title = {Exponential rates for negatively associated random variables based on kernel density function},
booktitle = {The 8th Seminar on Probability and Stochastic Processes},
year = {2011},
location = {رشت, IRAN},
keywords = {Covariance Function; Exponential Rates; Kernel Estimation; Negative Association},
}
%0 Conference Proceedings
%T Exponential rates for negatively associated random variables based on kernel density function
%A Jabbari Nooghabi, Hadi
%J The 8th Seminar on Probability and Stochastic Processes
%D 2011
