Journal of Statistical Theory and Applications

Volume 14, Issue 1, March 2015, Pages 76 - 88

Stochastic Properties of the Weighted Hazard Rate Order

Authors
S. Izadkhah, M. Amini, G.R. Mohtashami Borzadaran
Corresponding Author
M. Amini
Received 14 August 2014, Accepted 3 February 2015, Available Online 31 March 2015.
DOI
10.2991/jsta.2015.14.1.7How to use a DOI?
Keywords
Weighted distribution; hazard rate order;preservation; shock models; mixture; stochastic orders
Abstract

The hazard rate order between two weighted distributions with a given weight function is considered as a new stochastic order called weighted hazard rate order. The influences of biased sampling methods on properties of the hazard rate order are usefully pointed out with this weighted order. We first obtain some basic properties of the weighted hazard rate order and then develop some useful preservation properties of it with respect to monotone transformations, mixture of distributions, convolution of distributions, order statistics and residual lifetime of distributions. A few examples are also presented to show the usefulness of the results achieved in the paper.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

Journal
Journal of Statistical Theory and Applications
Volume-Issue
14 - 1
Pages
76 - 88
Publication Date
2015/03/31
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2015.14.1.7How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - S. Izadkhah
AU  - M. Amini
AU  - G.R. Mohtashami Borzadaran
PY  - 2015
DA  - 2015/03/31
TI  - Stochastic Properties of the Weighted Hazard Rate Order
JO  - Journal of Statistical Theory and Applications
SP  - 76
EP  - 88
VL  - 14
IS  - 1
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2015.14.1.7
DO  - 10.2991/jsta.2015.14.1.7
ID  - Izadkhah2015
ER  -