Extropy and Varextropy estimators with applications
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911763452133376 |
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| author | Chaudhary, Santosh Kumar Gupta, Nitin |
| author_facet | Chaudhary, Santosh Kumar Gupta, Nitin |
| contents | In many statistical studies, the measure of uncertainties like entropy, extropy, varentropy and varextropy of a distribution function is of prime interest. This paper proposes estimators of extropy and varextropy. Proposed estimators are consistent. Based on extropy estimator, a test of symmetry is given. The proposed test has the advantage that we do not need to estimate the centre of symmetry. The critical value and power of the proposed test statistics have been obtained. The test procedure has been implemented on six real-life data sets to verify its performance in identifying the symmetric nature. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_13065 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Extropy and Varextropy estimators with applications Chaudhary, Santosh Kumar Gupta, Nitin Statistics Theory In many statistical studies, the measure of uncertainties like entropy, extropy, varentropy and varextropy of a distribution function is of prime interest. This paper proposes estimators of extropy and varextropy. Proposed estimators are consistent. Based on extropy estimator, a test of symmetry is given. The proposed test has the advantage that we do not need to estimate the centre of symmetry. The critical value and power of the proposed test statistics have been obtained. The test procedure has been implemented on six real-life data sets to verify its performance in identifying the symmetric nature. |
| title | Extropy and Varextropy estimators with applications |
| topic | Statistics Theory |
| url | https://arxiv.org/abs/2401.13065 |