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A new class of lifetime models and the evaluation of the confidence intervals by double percentile bootstrap Anais da ABC (AABC)
MARINHO,PEDRO R.D.; BOURGUIGNON,MARCELO; SILVA,RODRIGO B.; CORDEIRO,GAUSS M..
Abstract: In this paper, we introduce a new three-parameter distribution by compounding the Nadarajah-Haghighi and geometric distributions, which can be interpreted as a truncated Marshall-Olkin extended Weibull. The compounding procedure is based on the work by Marshall and Olkin 1997. We prove that the new distribution can be obtained as a compound model with mixing exponential distribution. It can have decreasing, increasing, upside-down bathtub, bathtub-shaped, constant and decreasing-increasing-decreasing failure rate functions depending on the values of the parameters. Some mathematical properties of the new distribution are studied including moments and quantile function. The maximum likelihood estimation procedure is discussed and a particle swarm...
Tipo: Info:eu-repo/semantics/article Palavras-chave: Exponential distribution; Failure rate function; Geometric distribution; Maximum likelihood estimation; Nadarajah-Haghighi distribution..
Ano: 2019 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000100202
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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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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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