Characterizations of Probability Distribution by Some Sequential Relative Reliability Measures: An Application of Completeness in a Hilbert Space
In this paper, by means of the concept of completeness in functional analysis, we characterize probability distributions using several relative measures of residual life of an item at independent sequences of random times. These sequences are the order statistics and the record statistics of a rando...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/8151159 |
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| author | Mansour Shrahili Mohamed Kayid |
| author_facet | Mansour Shrahili Mohamed Kayid |
| author_sort | Mansour Shrahili |
| collection | DOAJ |
| description | In this paper, by means of the concept of completeness in functional analysis, we characterize probability distributions using several relative measures of residual life of an item at independent sequences of random times. These sequences are the order statistics and the record statistics of a random sequence of times. The reliability quantities of the mean residual life, the vitality function, and the survival function are considered to construct the main characteristics of distributions. |
| format | Article |
| id | doaj-art-e6dbee2f2c6b41abb9ab54afe87981a7 |
| 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-e6dbee2f2c6b41abb9ab54afe87981a72025-02-03T01:21:03ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/8151159Characterizations of Probability Distribution by Some Sequential Relative Reliability Measures: An Application of Completeness in a Hilbert SpaceMansour Shrahili0Mohamed Kayid1Department of Statistics and Operations ResearchDepartment of Statistics and Operations ResearchIn this paper, by means of the concept of completeness in functional analysis, we characterize probability distributions using several relative measures of residual life of an item at independent sequences of random times. These sequences are the order statistics and the record statistics of a random sequence of times. The reliability quantities of the mean residual life, the vitality function, and the survival function are considered to construct the main characteristics of distributions.http://dx.doi.org/10.1155/2022/8151159 |
| spellingShingle | Mansour Shrahili Mohamed Kayid Characterizations of Probability Distribution by Some Sequential Relative Reliability Measures: An Application of Completeness in a Hilbert Space Journal of Function Spaces |
| title | Characterizations of Probability Distribution by Some Sequential Relative Reliability Measures: An Application of Completeness in a Hilbert Space |
| title_full | Characterizations of Probability Distribution by Some Sequential Relative Reliability Measures: An Application of Completeness in a Hilbert Space |
| title_fullStr | Characterizations of Probability Distribution by Some Sequential Relative Reliability Measures: An Application of Completeness in a Hilbert Space |
| title_full_unstemmed | Characterizations of Probability Distribution by Some Sequential Relative Reliability Measures: An Application of Completeness in a Hilbert Space |
| title_short | Characterizations of Probability Distribution by Some Sequential Relative Reliability Measures: An Application of Completeness in a Hilbert Space |
| title_sort | characterizations of probability distribution by some sequential relative reliability measures an application of completeness in a hilbert space |
| url | http://dx.doi.org/10.1155/2022/8151159 |
| work_keys_str_mv | AT mansourshrahili characterizationsofprobabilitydistributionbysomesequentialrelativereliabilitymeasuresanapplicationofcompletenessinahilbertspace AT mohamedkayid characterizationsofprobabilitydistributionbysomesequentialrelativereliabilitymeasuresanapplicationofcompletenessinahilbertspace |