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The Nadarajah-Haghighi Lindley distribution Anais da ABC (AABC)
PEÑA-RAMÍREZ,FERNANDO A.; GUERRA,RENATA R.; CORDEIRO,GAUSS M..
Abstract: We define a new lifetime model based on compounding the Lindley and Nadarajah-Haghighi distributions. The proposed distribution is very competitive to other lifetime models. Some of its mathematical properties are investigated including generating function, mean residual life, moments, Bonferroni and Lorenz curves and mean deviations. We discuss the estimation of the model parameters by maximum likelihood. We provide a simulation study and two applications to real data for illustrative purposes. We prove empirically that the new distribution yields good fits to both data sets, and it can be a useful alternative for other classical lifetime models.
Tipo: Info:eu-repo/semantics/article Palavras-chave: Compounding approach; Exponential distribution; Lifetime data; Lindley distribution; Nadarajah-Haghighi distribution.
Ano: 2019 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000100201
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The Exponentiated Power Generalized Weibull: Properties and Applications Anais da ABC (AABC)
PEÑA-RAMÍREZ,FERNANDO A.; GUERRA,RENATA R.; CORDEIRO,GAUSS M.; MARINHO,PEDRO R.D..
Abstract We propose a new lifetime model called the exponentiated power generalized Weibull (EPGW) distribution, which is obtained from the exponentiated family applied to the power generalized Weibull (PGW) distribution. It can also be derived from a power transform on an exponentiated Nadarajah-Haghighi random variable. Since several structural properties of the PGW distribution have not been studied, they can be obtained from those of the EPGW distribution. The model is very flexible for modeling all common types of hazard rate functions. It is a very competitive model to the well-known Weibull, exponentiated exponential and exponentiated Weibull distributions, among others. We also give a physical motivation for the new distribution if the power...
Tipo: Info:eu-repo/semantics/article Palavras-chave: Exponential distribution; Lifetime data; Nadarajah-Haghighi distribution; Power generalized Weibull distribution; Survival function.
Ano: 2018 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652018000602553
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