An Expository Note on Unit - Gompertz Distribution with Applications
In a recent paper, Mazucheli et al. (2019) introduced the unit-Gompertz (UG) distribution and studied some of its properties. It is a continuous distribution with bounded support, and hence may be useful for modelling life-time phenomena. We present counter-examples to point out some subtle errors i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Bologna
2021-03-01
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| Series: | Statistica |
| Subjects: | |
| Online Access: | https://rivista-statistica.unibo.it/article/view/11135 |
| _version_ | 1819160021893644288 |
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| author | Mohammed Zafar Anis Debsurya De |
| author_facet | Mohammed Zafar Anis Debsurya De |
| author_sort | Mohammed Zafar Anis |
| collection | DOAJ |
| description | In a recent paper, Mazucheli et al. (2019) introduced the unit-Gompertz (UG) distribution and studied some of its properties. It is a continuous distribution with bounded support, and hence may be useful for modelling life-time phenomena. We present counter-examples to point out some subtle errors in their work, and subsequently correct them. We also look at some other interesting properties of this new distribution. Further, we also study some important reliability measures and consider some stochastic orderings associated with this new distribution. |
| first_indexed | 2024-12-22T16:49:50Z |
| format | Article |
| id | doaj.art-4dc6eb5e66c04f3fa7e6e4d617d79e3c |
| institution | Directory Open Access Journal |
| issn | 0390-590X 1973-2201 |
| language | English |
| last_indexed | 2024-12-22T16:49:50Z |
| publishDate | 2021-03-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Statistica |
| spelling | doaj.art-4dc6eb5e66c04f3fa7e6e4d617d79e3c2022-12-21T18:19:37ZengUniversity of BolognaStatistica0390-590X1973-22012021-03-0180446949010.6092/issn.1973-2201/111359501An Expository Note on Unit - Gompertz Distribution with ApplicationsMohammed Zafar Anis0Debsurya De1Indian Statistical InstituteIndian Statistical InstituteIn a recent paper, Mazucheli et al. (2019) introduced the unit-Gompertz (UG) distribution and studied some of its properties. It is a continuous distribution with bounded support, and hence may be useful for modelling life-time phenomena. We present counter-examples to point out some subtle errors in their work, and subsequently correct them. We also look at some other interesting properties of this new distribution. Further, we also study some important reliability measures and consider some stochastic orderings associated with this new distribution.https://rivista-statistica.unibo.it/article/view/11135log concavereliability functionsstochastic orders |
| spellingShingle | Mohammed Zafar Anis Debsurya De An Expository Note on Unit - Gompertz Distribution with Applications Statistica log concave reliability functions stochastic orders |
| title | An Expository Note on Unit - Gompertz Distribution with Applications |
| title_full | An Expository Note on Unit - Gompertz Distribution with Applications |
| title_fullStr | An Expository Note on Unit - Gompertz Distribution with Applications |
| title_full_unstemmed | An Expository Note on Unit - Gompertz Distribution with Applications |
| title_short | An Expository Note on Unit - Gompertz Distribution with Applications |
| title_sort | expository note on unit gompertz distribution with applications |
| topic | log concave reliability functions stochastic orders |
| url | https://rivista-statistica.unibo.it/article/view/11135 |
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