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Measures of inaccuracy based on Varextropy
[Submitted on 11 Dec 2025 (v1), last revised 29 Jun 2026 (this v · 2025-12-11 · via stat updates on arXiv.org

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Abstract:Recently, varextropy has been introduced as a new dispersion index and a measure of information. In this article, we derive the generating function of extropy and present its infinite series representation. Furthermore, we propose new variability measures: the inaccuracy and weighted inaccuracy measures between two random variables based on varextropy and we investigate their properties. We also obtain lower bounds for the inaccuracy measure and compare them with each other. In addition, we introduce a discrimination measure based on varextropy and employ it both for comparing probability distributions and for assessing the goodness of fit of distributions to data model selection problems. The proposed measure is also compared with the dispersion index derived from the Kullback-Leibler divergence given in Balakrishnan et al. (2024).

Submission history

From: Faranak Goodarzi [view email]
[v1] Thu, 11 Dec 2025 10:22:02 UTC (49 KB)
[v2] Mon, 29 Jun 2026 17:12:21 UTC (49 KB)