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ORIGINAL RESEARCH article

Front. Appl. Math. Stat.
Sec. Statistics and Probability
Volume 11 - 2025 | doi: 10.3389/fams.2025.1527833

The Lambert-Topp-Leone distribution: an alternative for modeling proportion and lifetime data

Provisionally accepted
Juan M Astorga Juan M Astorga 1*Yuri A. Iriarte Yuri A. Iriarte 2*
  • 1 Departamento de Tecnologías de la Energía, Facultad Tecnológica, Universidad de Atacama, Copiapó, Chile, Copiapó, Chile
  • 2 Departamento de Estadística y Ciencia de Datos, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta, Chile

The final, formatted version of the article will be published soon.

    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.

    Keywords: Goodness of fit, kurtosis, Lambert generator, Lifetime data, maximum likelihood estimation, proportion data, Skewness

    Received: 13 Nov 2024; Accepted: 31 Jan 2025.

    Copyright: © 2025 Astorga and Iriarte. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence:
    Juan M Astorga, Departamento de Tecnologías de la Energía, Facultad Tecnológica, Universidad de Atacama, Copiapó, Chile, Copiapó, Chile
    Yuri A. Iriarte, Departamento de Estadística y Ciencia de Datos, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta, Chile

    Disclaimer: All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.