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<p>Recently, extropy has emerged as a promising measure of uncertainty in statistical analyses. This article introduces estimators for relative extropy and proposes a novel test statistic based on this measure for conducting goodness-of-fit tests. Specifically, we develop tests tailored to assess normality and exponentiality. Monte Carlo simulations demonstrate that our proposed tests exhibit substantial power, often outperforming traditional methods like the Kolmogorov-Smirnov test. We further illustrate their practical utility through applications to two real-world datasets.</p>

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On the Estimation of Relative Extropy and its Application in Goodness of Fit Tests

  • 期刊论文

  • 发表日期：

    2025年9月16日

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  • Hadi Alizadeh Noughabi,
  • Reza Alizadeh Noughabi

摘要

Recently, extropy has emerged as a promising measure of uncertainty in statistical analyses. This article introduces estimators for relative extropy and proposes a novel test statistic based on this measure for conducting goodness-of-fit tests. Specifically, we develop tests tailored to assess normality and exponentiality. Monte Carlo simulations demonstrate that our proposed tests exhibit substantial power, often outperforming traditional methods like the Kolmogorov-Smirnov test. We further illustrate their practical utility through applications to two real-world datasets.