Advances in Flexible Parametric Distributions for Modeling Skewness and Kurtosis
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "D1: Probability and Statistics".
Deadline for manuscript submissions: 31 May 2026 | Viewed by 24
Special Issue Editor
Interests: flexible statistical distributions; probability theory; statistical inference; regression modeling; reliability analysis, and interdisciplinary applications of statistics to complex scientific problems
Special Issue Information
Dear Colleagues,
This Special Issue aims to highlight recent advances in the development and use of flexible parametric probability distributions designed to model empirical data that exhibit skewness and/or high levels of kurtosis—features frequently encountered in applied research across fields such as engineering, public health, and the social sciences.
In many real-world scenarios, conventional models relying on assumptions such as normality or symmetry fail to capture the complex behavior of the data. This has motivated interest in distributions offering greater flexibility in capturing skewness and kurtosis. Flexible distributions have proven useful not only for improving goodness-of-fit, but also for enhancing robustness and inferential performance.
We welcome contributions that introduce new distributional forms, explore their theoretical properties, or apply flexible models to empirical data where traditional approaches are insufficient. Submissions addressing computational aspects—such as estimation algorithms, simulation procedures, or software tools—are especially encouraged, as they improve accessibility and reproducibility.
Comparative studies and methodological evaluations that highlight the advantages of modeling asymmetry and kurtosis are also of interest. By concentrating on this focused theme, this Special Issue aims to compile a coherent set of articles that advance statistical modeling for data with non-normal characteristics, offering both theoretical insights and practical tools.
Dr. Yuri A. Iriarte
Guest Editor
Manuscript Submission Information
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Keywords
- flexible statistical distributions
- parametric modeling
- skewness
- kurtosis
- simulation methods
- estimation algorithms
- non-normal data
- statistical applications
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