Stochastic Properties of the Weighted Hazard Rate Order

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/).

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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  -