The Lindley Weibull Distribution: properties and applications



Título del documento: The Lindley Weibull Distribution: properties and applications
Revista: Anais da Academia Brasileira de Ciencias
Base de datos: PERIÓDICA
Número de sistema: 000424328
ISSN: 0001-3765
Autores: 1
2
2
3
4
Instituciones: 1Universidade Federal de Pernambuco, Departamento de Estatistica, Recife, Pernambuco. Brasil
2Benha University, Department of Statistics, Mathematics and Insurance, Benha. Egipto
3Istanbul Medeniyet University, Department of Statistics, Estambul. Turquía
4Hacettepe University, Department of Statistics, Ankara. Turquía
Año:
Periodo: Sep
Volumen: 90
Número: 3
Paginación: 2579-2598
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental, aplicado
Resumen en inglés We introduce a new three-parameter lifetime model called the Lindley Weibull distribution, which accommodates unimodal and bathtub, and a broad variety of monotone failure rates. We provide a comprehensive account of some of its mathematical properties including ordinary and incomplete moments, quantile and generating functions and order statistics. The new density function can be expressed as a linear combination of exponentiated Weibull densities. The maximum likelihood method is used to estimate the model parameters. We present simulation results to assess the performance of the maximum likelihood estimation. We prove empirically the importance and flexibility of the new distribution in modeling two data sets
Disciplinas: Matemáticas
Palabras clave: Matemáticas aplicadas,
Familia G Lindley,
Probabilidad máxima,
Momentos,
Distribución Lindley Weibull
Keyword: Applied mathematics,
Lindley G-family,
Maximum likelihood,
Moments,
Lindley Weibull distribution
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