Characterizations of the Exponential Distribution by Some Random Hazard Rate Sequences
In this paper, several characterizations for exponential distribution are derived from a new relative hazard rate measure. This measure is closely related to the concept of remaining lifetime at a random time. It considers the random times specified by the order statistics of a sample, the convoluti...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/17/3052 |
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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, several characterizations for exponential distribution are derived from a new relative hazard rate measure. This measure is closely related to the concept of remaining lifetime at a random time. It considers the random times specified by the order statistics of a sample, the convolution of random variables, and the record values of a sequence of random variables. The concept of completeness in functional analysis provides the technical background to obtain the main results. |
| first_indexed | 2024-03-10T01:33:26Z |
| format | Article |
| id | doaj.art-445b52b231a04b818a099845ec31da19 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T01:33:26Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-445b52b231a04b818a099845ec31da192023-11-23T13:37:35ZengMDPI AGMathematics2227-73902022-08-011017305210.3390/math10173052Characterizations of the Exponential Distribution by Some Random Hazard Rate SequencesMansour Shrahili0Mohamed Kayid1Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaIn this paper, several characterizations for exponential distribution are derived from a new relative hazard rate measure. This measure is closely related to the concept of remaining lifetime at a random time. It considers the random times specified by the order statistics of a sample, the convolution of random variables, and the record values of a sequence of random variables. The concept of completeness in functional analysis provides the technical background to obtain the main results.https://www.mdpi.com/2227-7390/10/17/3052hazard ratelifetimecharacterizationcompletenessresidual life at random time |
| spellingShingle | Mansour Shrahili Mohamed Kayid Characterizations of the Exponential Distribution by Some Random Hazard Rate Sequences Mathematics hazard rate lifetime characterization completeness residual life at random time |
| title | Characterizations of the Exponential Distribution by Some Random Hazard Rate Sequences |
| title_full | Characterizations of the Exponential Distribution by Some Random Hazard Rate Sequences |
| title_fullStr | Characterizations of the Exponential Distribution by Some Random Hazard Rate Sequences |
| title_full_unstemmed | Characterizations of the Exponential Distribution by Some Random Hazard Rate Sequences |
| title_short | Characterizations of the Exponential Distribution by Some Random Hazard Rate Sequences |
| title_sort | characterizations of the exponential distribution by some random hazard rate sequences |
| topic | hazard rate lifetime characterization completeness residual life at random time |
| url | https://www.mdpi.com/2227-7390/10/17/3052 |
| work_keys_str_mv | AT mansourshrahili characterizationsoftheexponentialdistributionbysomerandomhazardratesequences AT mohamedkayid characterizationsoftheexponentialdistributionbysomerandomhazardratesequences |