| Autor: |
Mohamed Kayid, Nassr S. Al-Maflehi |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
Journal of King Saud University: Science, Vol 36, Iss 8, Pp 103324- (2024) |
| Druh dokumentu: |
article |
| ISSN: |
1018-3647 |
| DOI: |
10.1016/j.jksus.2024.103324 |
| Popis: |
A new proportional stochastic order is defined based on the concept of quantile residual life. In addition, a new aging class of life distributions, namely, decreasing proportional failure rate distributions, was defined. Moreover, two other aging classes based on the proposed stochastic ordering are defined and investigated: decreasing proportional α-quantile residual life and its dual increasing proportional α-quantile residual life. The relationship between the proportional failure rate and proportional α-quantile residual life has been discussed. Some well-known and useful models are classified in terms of the proportional α-quantile residual life function. Finally, a new modified Pareto distribution with a decreasing proportional failure rate and an increasing proportional α-quantile residual life function was presented and studied. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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