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Revista Colombiana de Estadística
versión impresa ISSN 0120-1751
Rev.Colomb.Estad. vol.45 no.1 Bogotá ene./jun. 2022 Epub 17-Ene-2023
https://doi.org/10.15446/rce.v45n1.93548
Artículos originales de investigación
Cubic Rank Transmuted Lindley Distribution with Applications
Distribución Lindley transmutada de rango cúbico con aplicaciones
1 DIVISION OF SCIENCE, MATHEMATICS, AND ENGINEERING, UNIVERSITY SOUTH CAROLINA-SUMTER, SUMTER, USA
2 DEPARTMENT OF MATHEMATICS, BLOOMSBURG UNIVERSITY OF PENNSYLVANIA, BLOOMSBURG, USA
3 OAK RIDGE NATIONAL LAB, TENNESSEE, USA
In this work, we propose a three-parameter generalized Lindley distribution using the cubic rank transmutation map approach by Granzotto et al. (2017). We derive expressions for several mathematical properties including moments and moment generating function, mean deviation, probability weighted moments, quantile function, reliability analysis, and order statistics. We conducted a simulation study to assess the performance of the maximum likelihood estimation procedure for estimating model parameters. The flexibility of the proposed model is illustrated by analyzing two real data sets.
Key words: cubic rank transmutation map; Lindley distribution; reliability analysis; parameter estimation
En este trabajo, proponemos una distribución generalizada Lindley con tres parámetros utilizando el enfoque de mapa de transmutación de rango cúbico de Granzotto et al. (2017). Derivamos expresiones para varias propiedades matemáticas, incluyendo momentos y función generadora de momentos, desviación media, momentos ponderados por probabilidad, función cuantil, análisis de confiabilidad y estadísticas de orden. Se realizó un estudio de simulación para evaluar el rendimiento del procedimiento de estimación de máxima verosimilitud para estimar los parámetros del modelo. La flexibilidad del modelo propuesto se ilustra mediante el análisis de dos conjuntos de datos reales.
Palabras clave: análisis de fiabilidad; distribución Lindley; estimación de parámetros; mapa de transmutación de rango cúbico
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Received: February 2021; Accepted: September 2021
This is an open-access article distributed under the terms of the Creative Commons Attribution License
