The Cumulative Residual Mathai--Haubold Entropy and its Non-parametric Inference
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909957499125760 |
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| author | R, Anija C. S., Smitha Kattumannil, Sudheesh K. |
| author_facet | R, Anija C. S., Smitha Kattumannil, Sudheesh K. |
| contents | We introduce the cumulative residual Mathai--Haubold entropy (CRMHE) and investigate its properties. We then propose a dynamic counterpart, the dynamic cumulative residual Mathai--Haubold entropy (DCRMHE), and establish its uniqueness in characterizing the distribution function. Non-parametric estimators for the CRMHE and DCRMHE are developed based on the kernel density estimation of the survival function. The efficacy of the estimators is assessed through a comprehensive Monte Carlo simulation study. The relevance of the proposed DCRMHE estimator is illustrated using two real-world datasets: on the failure times of 70 aircraft windshields and failure times of 40 randomly selected mechanical switches. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_10997 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Cumulative Residual Mathai--Haubold Entropy and its Non-parametric Inference R, Anija C. S., Smitha Kattumannil, Sudheesh K. Methodology Statistics Theory We introduce the cumulative residual Mathai--Haubold entropy (CRMHE) and investigate its properties. We then propose a dynamic counterpart, the dynamic cumulative residual Mathai--Haubold entropy (DCRMHE), and establish its uniqueness in characterizing the distribution function. Non-parametric estimators for the CRMHE and DCRMHE are developed based on the kernel density estimation of the survival function. The efficacy of the estimators is assessed through a comprehensive Monte Carlo simulation study. The relevance of the proposed DCRMHE estimator is illustrated using two real-world datasets: on the failure times of 70 aircraft windshields and failure times of 40 randomly selected mechanical switches. |
| title | The Cumulative Residual Mathai--Haubold Entropy and its Non-parametric Inference |
| topic | Methodology Statistics Theory |
| url | https://arxiv.org/abs/2512.10997 |