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Journal article
Advancing Continuous Distribution Generation: An Exponentiated Odds Ratio Generator Approach
Entropy (Basel, Switzerland), Vol.26(12), 1006
11/22/2024
PMID: 39766635
Web of Science ID: WOS:001386771500001
Abstract
This paper presents a new methodology for generating continuous statistical distributions, integrating the exponentiated odds ratio within the framework of survival analysis. This new method enhances the flexibility and adaptability of distribution models to effectively address the complexities inherent in contemporary datasets. The core of this advancement is illustrated by introducing a particular subfamily, the “Type 2 Gumbel Weibull-G family of distributions”. We provide a comprehensive analysis of the mathematical properties of these distributions, including statistical properties such as density functions, moments, hazard rate and quantile functions, Rényi entropy, order statistics, and the concept of stochastic ordering. To test the robustness of our new model, we apply five distinct methods for parameter estimation. The practical applicability of the Type 2 Gumbel Weibull-G distributions is further supported through the analysis of three real-world datasets. These real-life applications illustrate the exceptional statistical precision of our distributions compared to existing models, thereby reinforcing their significant value in both theoretical and practical statistical applications.
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Details
- Title
- Advancing Continuous Distribution Generation
- Publication Details
- Entropy (Basel, Switzerland), Vol.26(12), 1006
- Resource Type
- Journal article
- Publisher
- MDPI; BASEL
- Number of pages
- 28
- Copyright
- © 2024 by the authors.
- Identifiers
- WOS:001386771500001; 99380589264406600
- Academic Unit
- Hal Marcus College of Science and Engineering ; Mathematics and Statistics
- Language
- English