Journal of Statistical Theory and Applications

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Volume 17, Issue 1, March 2018, Pages 172 - 192

On Some Aspects of Strong Risk Class and Associated Ordering

Authors
Mervat Mahdy*
*Corresponding author: Dept. of Statistics, Mathematics and Insurance, College of Commerce, Benha University, Egypt. Email. drmervat.mahdy@fcom.bu.edu.eg. Tel: +20-122-068-2460, fax: +20-13-323-0860.
Corresponding Author
Mervat Mahdy
Received 24 March 2016, Accepted 19 November 2017, Available Online 31 March 2018.
DOI
10.2991/jsta.2018.17.1.13How to use a DOI?
Keywords
Stochastic orders; Mean inactivity time class; Strong mean inactivity time class; Variance inactivity time; Preservation; Risk measure
Abstract

The paper opens up a new aging class and a new stochastic orders which is depend on risk class, that plays vital role in the reliability theory, finance topics, stochastic orders, and the economic theory. The article presents some new interesting implications and characterizations concerning this class. In addition, we list a series of inequalities that provide bounds for strong risk and some aging classes. Furthermore, a sufficient condition for a probability distribution to have a new class is provided. In addition, The paper demonstrates the preservation properties of a new stochastic order under some reliability operations such as mixture, and convolution. Moreover, some new reliability concepts based on discrete lifetime random variable are studied.

Copyright
Copyright © 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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<Previous Article In Issue
Journal
Journal of Statistical Theory and Applications
Volume-Issue
17 - 1
Pages
172 - 192
Publication Date
2018/03/31
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2018.17.1.13How to use a DOI?
Copyright
Copyright © 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - Mervat Mahdy
PY  - 2018
DA  - 2018/03/31
TI  - On Some Aspects of Strong Risk Class and Associated Ordering
JO  - Journal of Statistical Theory and Applications
SP  - 172
EP  - 192
VL  - 17
IS  - 1
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2018.17.1.13
DO  - 10.2991/jsta.2018.17.1.13
ID  - Mahdy2018
ER  -