Published

2023-07-12

The Type II Exponentiated Half Logistic-Marshall-Olkin-G Family of Distributions with Applications

La familia de distribuciones tipo II exponenciada media logística-Marshall-Olkin-G con aplicaciones

DOI:

https://doi.org/10.15446/rce.v46n2.103163

Keywords:

Marshall-Olkin-G distribution, Maximum likelihood estimation, Simulations, Type II exponentiated half logistic distribution (en)
Distribución Marshall-Olkin-G, Estimación de máxima verosimilitud, Simulaciones, Tipo II distribución semilogística exponencial (es)

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Authors

  • Broderick Oluyede Botswana International University of Science and Technology
  • Morongwa Gabanakgosi Botswana International University of Science & Technology, Department of Mathematics & Statistical Sciences https://orcid.org/0000-0002-0207-7795

A new generalized family of distributions called the type II exponentiated half logistic-Marshall-Olkin-G distribution is developed. Some special cases of the new model are presented. We explore some statistical properties of the new family of distributions. The statistical properties studied include expansion of the density function, hazard rate and quantile functions, moments, moment generating functions, probability weighted moments, stochastic ordering, distribution of order statistics and Rényi entropy. The maximum likelihood, ordinary and weighted least-squares techniques for the estimation of model parameters are presented, and Monte Carlo simulations for the new family of distributions are conducted. The importance of the new family of distributions is examined by means of applications to two real data sets.

Se desarrolla una nueva familia generalizada de distribuciones denominada distribución media exponenciada tipo II-Marshall-Olkin-G logística. Se presentan algunos casos especiales del nuevo modelo. Exploramos algunas propiedades estadísticas de la nueva familia de distribuciones. Las propiedades estadísticas estudiadas incluyen la expansión de la función de densidad, la tasa de riesgo y las funciones de cuantiles, momentos, funciones generadoras de momentos, momentos ponderados de probabilidad, ordenamiento estocástico, distribución de estadísticas de orden y entropía R\'enyi. Se utiliza la técnica de máxima verosimilitud para estimar los parámetros del modelo y se presentan simulaciones Monte Carlo para la nueva familia de distribuciones. Se examina la importancia de la nueva familia de distribuciones mediante aplicaciones a dos conjuntos de datos reales.

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How to Cite

Oluyede, B., & Gabanakgosi, M. (2023). The Type II Exponentiated Half Logistic-Marshall-Olkin-G Family of Distributions with Applications. Revista Colombiana De Estadística, 46(2), 19-53. https://doi.org/10.15446/rce.v46n2.103163

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