Characterizations of Lifetime Distributions Using Two Relative Reliability Measures
In this paper, a general characterization property considering two new dynamic relative reliability measures is obtained. The new dynamic relative reliability measures are expressed as the ratio of hazard rates and as the ratio of reversed hazard rates. The measures are evaluated partially at some s...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/6476030 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832567746457501696 |
|---|---|
| author | Ghadah Alomani Mohamed Kayid |
| author_facet | Ghadah Alomani Mohamed Kayid |
| author_sort | Ghadah Alomani |
| collection | DOAJ |
| description | In this paper, a general characterization property considering two new dynamic relative reliability measures is obtained. The new dynamic relative reliability measures are expressed as the ratio of hazard rates and as the ratio of reversed hazard rates. The measures are evaluated partially at some sequential random times following a specific distribution. We show that several particular statistics, as random times, fulfill that specific distribution, and thus, the result is applicable in the context of the specified random times. The results are applied to some examples to characterize the Weibull distribution and the inverse Weibull distribution. |
| format | Article |
| id | doaj-art-a27956e2c38c4a49bafbde5a5543e84d |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-a27956e2c38c4a49bafbde5a5543e84d2025-02-03T01:00:41ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/6476030Characterizations of Lifetime Distributions Using Two Relative Reliability MeasuresGhadah Alomani0Mohamed Kayid1Department of Mathematical SciencesDepartment of Statistics and Operations ResearchIn this paper, a general characterization property considering two new dynamic relative reliability measures is obtained. The new dynamic relative reliability measures are expressed as the ratio of hazard rates and as the ratio of reversed hazard rates. The measures are evaluated partially at some sequential random times following a specific distribution. We show that several particular statistics, as random times, fulfill that specific distribution, and thus, the result is applicable in the context of the specified random times. The results are applied to some examples to characterize the Weibull distribution and the inverse Weibull distribution.http://dx.doi.org/10.1155/2022/6476030 |
| spellingShingle | Ghadah Alomani Mohamed Kayid Characterizations of Lifetime Distributions Using Two Relative Reliability Measures Journal of Function Spaces |
| title | Characterizations of Lifetime Distributions Using Two Relative Reliability Measures |
| title_full | Characterizations of Lifetime Distributions Using Two Relative Reliability Measures |
| title_fullStr | Characterizations of Lifetime Distributions Using Two Relative Reliability Measures |
| title_full_unstemmed | Characterizations of Lifetime Distributions Using Two Relative Reliability Measures |
| title_short | Characterizations of Lifetime Distributions Using Two Relative Reliability Measures |
| title_sort | characterizations of lifetime distributions using two relative reliability measures |
| url | http://dx.doi.org/10.1155/2022/6476030 |
| work_keys_str_mv | AT ghadahalomani characterizationsoflifetimedistributionsusingtworelativereliabilitymeasures AT mohamedkayid characterizationsoflifetimedistributionsusingtworelativereliabilitymeasures |