Fractional generalized cumulative residual entropy: properties, testing uniformity, and applications to Euro Area daily smoker data

• DOI: 10.3934/math.2024881
• Publication Date: 2024-05-28T10:35:35Z
• Authors: Alaa M. Abd El-Latif; Hanan H. Sakr; Mohamed Said Mohamed
• Keywords: Residual entropy

<abstract><p>The fractional generalized cumulative residual entropy, a broader version of the holds significance in assessing uncertainty model random variables and maintains straightforward connections with reliability models crucial information. This article represents modifies some novel features entropy discusses weak convergence. Additionally, measure is utilized to assess uniformity, involving derivation limit distribution an approximation test statistic's distribution. Furthermore, concept stability addressed. Moreover, presentation includes critical points power analysis against alternative distributions this statistic. simulation study carried out compare value proposed that other tests uniformity. uniformity utilizes real data on daily smokers countries Euro Area. Finally, our model's exponential applied empirical form.</p></abstract>