Title : ( Connection of Generalized Failure Rate and Generalized Reversed Failure Rate with Inequality Curves )
Authors: zahra behdani , Gholam Reza Mohtashami Borzadaran , Bahram Sadeghpour Gildeh ,
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Abstract
The purpose of this paper is to introduce some properties of generalized failture rate (GFR) and generalized reversed failure rate (GRFR), study their connection with inequality measures and then apply it to make comparisons of some reliability models. In the second part of our paper, we obtain the properties for the GRFR based on the properties of the GFR and weighted distributions. The importance of such a study lies in the usefulness of using. Finally, we present two examples to illustrate the applications of the relationships outlined in this paper. A real dataset is used for clarifying presented concepts.
Keywords
Elasticity function; increasing generalized failure rate; generalized reversed failure rate; weighted distributions; Lorenz curve; Gini index.
@article{paperid:1071628,
author = {Behdani, Zahra and Mohtashami Borzadaran, Gholam Reza and Sadeghpour Gildeh, Bahram},
title = {Connection of Generalized Failure Rate and Generalized Reversed Failure Rate with Inequality Curves},
journal = {International Journal of Reliability, Quality and Safety Engineering},
year = {2018},
volume = {16},
number = {48},
month = {November},
issn = {0218-5393},
pages = {1--23},
numpages = {22},
keywords = {Elasticity function; increasing generalized failure rate; generalized reversed failure rate; weighted distributions; Lorenz curve; Gini index.},
}
%0 Journal Article
%T Connection of Generalized Failure Rate and Generalized Reversed Failure Rate with Inequality Curves
%A Behdani, Zahra
%A Mohtashami Borzadaran, Gholam Reza
%A Sadeghpour Gildeh, Bahram
%J International Journal of Reliability, Quality and Safety Engineering
%@ 0218-5393
%D 2018
