A Novel Statistical Approach to COVID-19 Data Using the Exponentiated Komal Distribution

In this article, we introduce the exponentiated version of the Komal distribution, developed and analyzed in the context of COVID-19 data applications. This extended distribution is proposed to enhance flexibility and applicability in modeling real-world data, particularly in pandemic-related scenarios. We derive various fundamental statistical properties of the exponentiated Komal distribution, including its survival function, hazard rate function, reversed hazard rate function, moments and order statistics. Furthermore, the parameters of the proposed distribution are estimated using the maximum likelihood estimation (MLE) method, ensuring robust statistical inference. To validate the practical utility and efficiency of the model, we apply it to an actual COVID-19 dataset. The results demonstrate that the exponentiated Komal distribution provides an improved fit and deeper insights into the underlying patterns of pandemic-related data. The results highlight its superior ability to model and analyze pandemic-related data, making it a valuable tool for statistical modeling in epidemiological research.

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Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2025-10-01
DOI
https://doi.org/10.1134/s1995080225609671
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
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article

A Novel Statistical Approach to COVID-19 Data Using the Exponentiated Komal Distribution

Aafaq A. Rather, S. B. Ranade, Eid Sadun Alotaibi
Lobachevskii Journal of Mathematics
Statistical Distribution Estimation and Applications
article

A Novel Statistical Approach to COVID-19 Data Using the Exponentiated Komal Distribution

Aafaq A. Rather, S. B. Ranade, Eid Sadun Alotaibi
article en

Abstract

In this article, we introduce the exponentiated version of the Komal distribution, developed and analyzed in the context of COVID-19 data applications. This extended distribution is proposed to enhance flexibility and applicability in modeling real-world data, particularly in pandemic-related scenarios. We derive various fundamental statistical properties of the exponentiated Komal distribution, including its survival function, hazard rate function, reversed hazard rate function, moments and order statistics. Furthermore, the parameters of the proposed distribution are estimated using the maximum likelihood estimation (MLE) method, ensuring robust statistical inference. To validate the practical utility and efficiency of the model, we apply it to an actual COVID-19 dataset. The results demonstrate that the exponentiated Komal distribution provides an improved fit and deeper insights into the underlying patterns of pandemic-related data. The results highlight its superior ability to model and analyze pandemic-related data, making it a valuable tool for statistical modeling in epidemiological research.

Lobachevskii Journal of MathematicsVol. 46(10)
Taif University (SA), Symbiosis International University (IN), MIT World Peace University (IN)
Good health and well-being
Openalex Percentile: Top 18%
Statistical Distribution Estimation and Applications
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A Novel Statistical Approach to COVID-19 Data Using the Exponentiated Komal Distribution — Aafaq A. Rather, S. B. Ranade, et al. · Lobachevskii Journal of Mathematics (2025) | TGRS Research Map | TGRS