The Lambert-Topp-Leone distribution: an alternative for modeling proportion and lifetime data
This article discusses the Lambert-Topp-Leone distribution as a flexible alternative for modeling proportion and lifetime data. By extending the Topp-Leone distribution, the proposed model offers greater flexibility in terms of skewness and kurtosis, making it suitable for a broader range of real-wo...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Frontiers Media S.A.
2025-02-01
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| Series: | Frontiers in Applied Mathematics and Statistics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fams.2025.1527833/full |
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| Summary: | This article discusses the Lambert-Topp-Leone distribution as a flexible alternative for modeling proportion and lifetime data. By extending the Topp-Leone distribution, the proposed model offers greater flexibility in terms of skewness and kurtosis, making it suitable for a broader range of real-world applications. We examine key properties of the distribution, including its moments and behavior in terms of skewness and kurtosis. Parameter estimation using the maximum likelihood method is also discussed. A Monte Carlo simulation study is conducted to evaluate the performance of the estimators. Finally, to illustrate its practical utility, we apply the Lambert-Topp-Leone distribution to real-world datasets, demonstrating its superior fit for proportion and lifetime data compared to traditional models. The results suggest that this distribution provides a valuable tool for researchers and professionals in fields that require versatile modeling of bounded or positively skewed data. |
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| ISSN: | 2297-4687 |