Cubic Rank Transmuted Lindley Distribution with Applications

• Autores: Sher Chhetri, Nonhle Mdziniso, Cory Ball
• Localización: Revista Colombiana de Estadística, ISSN-e 2389-8976, ISSN 0120-1751, Vol. 45, Nº. 1, 2022, págs. 65-83
• Idioma: inglés
• DOI: 10.15446/rce.v45n1.93548
• Títulos paralelos:
  • Distribución Lindley transmutada de rango cúbico con aplicaciones
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• Resumen
  • español

    Resumen 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.

  • English

    Abstract 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.

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