A characterization of uniform distribution using varextropy with application in testing uniformity
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915120788013056 |
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| author | Chaudhary, Santosh Kumar Gupta, Nitin |
| author_facet | Chaudhary, Santosh Kumar Gupta, Nitin |
| contents | In statistical analysis, quantifying uncertainties through measures such as entropy, extropy, varentropy, and varextropy is of fundamental importance for understanding distribution functions. This paper investigates several properties of varextropy and give a new characterization of uniform distribution using varextropy. The alredy proposed estimators are used as a test statistics. Building on the characterization of the uniform distribution using varextropy, we give a uniformity test. The critical value and power of the test statistics are derived. The proposed test procedure is applied to a real-world dataset to assess its performance and effectiveness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14797 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A characterization of uniform distribution using varextropy with application in testing uniformity Chaudhary, Santosh Kumar Gupta, Nitin Statistics Theory Applications Computation In statistical analysis, quantifying uncertainties through measures such as entropy, extropy, varentropy, and varextropy is of fundamental importance for understanding distribution functions. This paper investigates several properties of varextropy and give a new characterization of uniform distribution using varextropy. The alredy proposed estimators are used as a test statistics. Building on the characterization of the uniform distribution using varextropy, we give a uniformity test. The critical value and power of the test statistics are derived. The proposed test procedure is applied to a real-world dataset to assess its performance and effectiveness. |
| title | A characterization of uniform distribution using varextropy with application in testing uniformity |
| topic | Statistics Theory Applications Computation |
| url | https://arxiv.org/abs/2501.14797 |