Title : ( Reliability and expectation bounds based on Hardy’s inequality )
Authors: Faranak Goodarzi , Mohammad Amini ,
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Abstract
In this article, we provide a probabilistic proof to the strengthened Hardy’s integral inequality given in text. We also provide the upper and lower bounds for expectation of functions of hazard rate, mean residual life, eta function and intensity function. Moreover, an upper bound for extropy and cumulative residual extropy is obtained based on Hardy’s inequality. Furthermore, we obtain upper bounds for cumulative residual Tsallis entropy of series and parallel systems.
Keywords
Hardy’s inequality; Polya–Knopp’s inequality;hazard rate; mean residual life; Glaser’s function; extropy; Tsallis entropy
@article{paperid:1086582,
author = {Faranak Goodarzi and Amini, Mohammad},
title = {Reliability and expectation bounds based on Hardy’s inequality},
journal = {Communications in Statistics - Theory and Methods},
year = {2021},
volume = {52},
number = {9},
month = {September},
issn = {0361-0926},
pages = {2983--2997},
numpages = {14},
keywords = {Hardy’s inequality; Polya–Knopp’s inequality;hazard rate; mean residual life; Glaser’s function;
extropy; Tsallis entropy},
}
%0 Journal Article
%T Reliability and expectation bounds based on Hardy’s inequality
%A Faranak Goodarzi
%A Amini, Mohammad
%J Communications in Statistics - Theory and Methods
%@ 0361-0926
%D 2021
