Title : ( On lower bounds for the variance of functions of random variables with weighted distributions )
Authors: Mohammad Amini , faranak goodarzi , Gholam Reza Mohtashami Borzadaran ,
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Abstract
In this paper, based on the obtained characterization via the lower bounds for the variance of a function of random variable X, we nd a characterization of the weighted function corresponding to density function f(x), in terms of Cherno -type inequalities. Subsequently, by using the new characterization, we derive the lower bounds for the variance of a function of the weighted random variable. Moreover, we nd lower bounds for the variance of functions of this random variables with speci c weight functions applicable in reliability under suitable conditions
Keywords
, lower bound, weighted distributions
@inproceedings{paperid:1049494,
author = {Amini, Mohammad and Goodarzi, Faranak and Mohtashami Borzadaran, Gholam Reza},
title = {On lower bounds for the variance of functions of random variables with weighted distributions},
booktitle = {10th seminar of probability and stochastic processes},
year = {2015},
location = {yazd, IRAN},
keywords = {lower bound; weighted distributions},
}
%0 Conference Proceedings
%T On lower bounds for the variance of functions of random variables with weighted distributions
%A Amini, Mohammad
%A Goodarzi, Faranak
%A Mohtashami Borzadaran, Gholam Reza
%J 10th seminar of probability and stochastic processes
%D 2015
