Title : ( Characterization of distributions through Cauchy-Schwarz )
Authors: faranak goodarzi , Mohammad Amini , Gholam Reza Mohtashami Borzadaran ,
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Abstract
In this paper, we obtain bounds for the expected value of selected functions in reliability theory viz. failure rate, mean residual, log-odds rate, aging intensity functions and Glaser’s function by Cauchy-Schwarz inequality. In some cases, we give two bounds for the expectation and compare the bounds. By the integral form of the Cauchy-Shwarz inequality, we obtain a lower bound for the expectation involving of aging intensity function. We also characterize a few continuous and discrete distributions.
Keywords
, Characterization, Hazard rate, Mean residual life function, Log-odds rate, Glaser’s function, Discrete hazard rate, Discrete aging intensity.
@inproceedings{paperid:1065274,
author = {Goodarzi, Faranak and Amini, Mohammad and Mohtashami Borzadaran, Gholam Reza},
title = {Characterization of distributions through Cauchy-Schwarz},
booktitle = {یازدهمین سمینار احتمال و فرآیند های تصادفی},
year = {2017},
location = {قزوین, IRAN},
keywords = {Characterization; Hazard rate; Mean residual life function; Log-odds rate;
Glaser’s function; Discrete hazard rate; Discrete aging intensity.},
}
%0 Conference Proceedings
%T Characterization of distributions through Cauchy-Schwarz
%A Goodarzi, Faranak
%A Amini, Mohammad
%A Mohtashami Borzadaran, Gholam Reza
%J یازدهمین سمینار احتمال و فرآیند های تصادفی
%D 2017
