| Issue |
ESAIM: PS
Volume 28, 2024
|
|
|---|---|---|
| Page(s) | 274 - 291 | |
| DOI | https://doi.org/10.1051/ps/2024008 | |
| Published online | 09 September 2024 | |
Some results on the odds rate order along with its statistical testing
Department of Statistics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, Iran
* Corresponding author: zardasht@uma.ac.ir
Received:
31
July
2023
Accepted:
30
April
2024
Recently, Lando et al. [J. Statist. Plann. Inference 221 (2022) 313–325] define the odds rate order and show that it is stronger than the usual stochastic order, but weaker than the hazard rate order. The purpose of this paper is to investigate the other properties of this new stochastic order. Some characterization and preservation results and its relationship with other well-known stochastic orders are given. In addition, two relative ordering based on the odds rate functions are also defined and their relation with the odds rate order is investigated. Applications in statistical theory of reliability and a statistical test for the odds rate order are also included.
Mathematics Subject Classification: 62N05 / 62G10
Key words: Aging notion / bootstrap test / reliability measures / relative aging / stochastic orders / coherent systems reliability / test power
© The authors. Published by EDP Sciences, SMAI 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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