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arXiv · 2512.10997

The Cumulative Residual Mathai--Haubold Entropy and its Non-parametric Inference

Anija C. R·Smitha S.·Sudheesh K. Kattumannil
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Abstract

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.

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Anija C. R, Smitha S., Sudheesh K. Kattumannil. 2025-12-10. The Cumulative Residual Mathai--Haubold Entropy and its Non-parametric Inference. https://arxiv.org/abs/2512.10997

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