Journal of Statistical Theory and Applications

Volume 13, Issue 2, March 2014, Pages 189 - 195

Comparisons of Mixed Systems Using Mean Vitality Function

Authors
A. Toomaj, Doostparast M.
Corresponding Author
A. Toomaj
Available Online 31 March 2014.
DOI
https://doi.org/10.2991/jsta.2014.13.2.8How to use a DOI?
Keywords
Coherent System; MRL; MVF; Mixed System; Stochastic Orders; Signature
Abstract
The concept of system signature is widely used for comparing of mixed (coherent) systems. In practical situa- tions, it is usually impossible to compare mixed systems. To do this, some partial orders are considered in the literature. In this paper, we define a new concept of stochastic order for comparing mixed systems based on mean vitality function. We assume that component lifetimes of competing systems are independent and iden- tically distributed (iid) with a common distribution function. The obtained results are extended for comparing systems in which the component lifetimes are iid while the common component lifetime distributions are not identical. Some illustrative examples are also given.
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Journal
Journal of Statistical Theory and Applications
Volume-Issue
13 - 2
Pages
189 - 195
Publication Date
2014/03
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/10.2991/jsta.2014.13.2.8How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - A. Toomaj
AU  - Doostparast M.
PY  - 2014
DA  - 2014/03
TI  - Comparisons of Mixed Systems Using Mean Vitality Function
JO  - Journal of Statistical Theory and Applications
SP  - 189
EP  - 195
VL  - 13
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2014.13.2.8
DO  - https://doi.org/10.2991/jsta.2014.13.2.8
ID  - Toomaj2014
ER  -