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Volume 14
Issue 2
10.3390/axioms14020101
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

EM Algorithm in the Slash 2S-Lindley Distribution with Applications

by
Héctor A. Muñoz
1,
Jaime S. Castillo
1,
Diego I. Gallardo
2,*,
Osvaldo Venegas
3 and
Héctor W. Gómez
1
1
Departamento de Estadística y Ciencias de Datos, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile
2
Departamento de Estadística, Facultad de Ciencias, Universidad del Bío-Bío, Concepción 4081112, Chile
3
Departamento de Ciencias Matemáticas y Físicas, Facultad de Ingeniería, Universidad Católica de Temuco, Temuco 4780000, Chile
*
Author to whom correspondence should be addressed.
Axioms 2025, 14(2), 101; https://doi.org/10.3390/axioms14020101
Submission received: 26 December 2024 / Revised: 21 January 2025 / Accepted: 24 January 2025 / Published: 29 January 2025
(This article belongs to the Special Issue Probability, Statistics and Estimations, 2nd Edition)
Versions Notes

Abstract

In this work, we present a new distribution, which is a slash extension of the distribution of the sum of two independent Lindley random variables. This new distribution is developed using the slash methodology, resulting in a distribution with more flexible kurtosis, i.e., the ability to model atypical data. We study the density function of the new model and some of its properties, such as the cumulative distribution function, moments, and its asymmetry and kurtosis coefficients. The parameters are estimated by the maximum likelihood method with the EM algorithm. Finally, we apply the proposed model to two real datasets with high kurtosis, showing that it provides a better fit than two distributions known in the literature.
Keywords: maximum likelihood; 2S-Lindley distribution; slash distribution maximum likelihood; 2S-Lindley distribution; slash distribution

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MDPI and ACS Style

Muñoz, H.A.; Castillo, J.S.; Gallardo, D.I.; Venegas, O.; Gómez, H.W. EM Algorithm in the Slash 2S-Lindley Distribution with Applications. Axioms 2025, 14, 101. https://doi.org/10.3390/axioms14020101

AMA Style

Muñoz HA, Castillo JS, Gallardo DI, Venegas O, Gómez HW. EM Algorithm in the Slash 2S-Lindley Distribution with Applications. Axioms. 2025; 14(2):101. https://doi.org/10.3390/axioms14020101

Chicago/Turabian Style

Muñoz, Héctor A., Jaime S. Castillo, Diego I. Gallardo, Osvaldo Venegas, and Héctor W. Gómez. 2025. "EM Algorithm in the Slash 2S-Lindley Distribution with Applications" Axioms 14, no. 2: 101. https://doi.org/10.3390/axioms14020101

APA Style

Muñoz, H. A., Castillo, J. S., Gallardo, D. I., Venegas, O., & Gómez, H. W. (2025). EM Algorithm in the Slash 2S-Lindley Distribution with Applications. Axioms, 14(2), 101. https://doi.org/10.3390/axioms14020101

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