Varextropy of doubly truncated random variable
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914894117339136 |
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| author | Zamini, Raheleh Ghafouri, Somayeh Goodarzi, Faranak |
| author_facet | Zamini, Raheleh Ghafouri, Somayeh Goodarzi, Faranak |
| contents | Recently, there has been growing attention to study uncertainty measures for doubly truncated random variables. In this paper, the concept of varextropy for doubly truncated random variables is introduced. The changes of this measure under linear transforms are investigated. Also, lower and upper bounds for the interval varextropy under some conditions are obtained and some other properties for this measure are proved. In the following, three estimators for the interval varextropy are proposed. A simulation study has been carried out to investigate the behavior of estimators. At the end, an application for these estimators is proposed. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_21423 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Varextropy of doubly truncated random variable Zamini, Raheleh Ghafouri, Somayeh Goodarzi, Faranak Statistics Theory 94A17, 62B10 Recently, there has been growing attention to study uncertainty measures for doubly truncated random variables. In this paper, the concept of varextropy for doubly truncated random variables is introduced. The changes of this measure under linear transforms are investigated. Also, lower and upper bounds for the interval varextropy under some conditions are obtained and some other properties for this measure are proved. In the following, three estimators for the interval varextropy are proposed. A simulation study has been carried out to investigate the behavior of estimators. At the end, an application for these estimators is proposed. |
| title | Varextropy of doubly truncated random variable |
| topic | Statistics Theory 94A17, 62B10 |
| url | https://arxiv.org/abs/2407.21423 |