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The Extended Log-Logistic Distribution: Properties and Application Anais da ABC (AABC)
LIMA,STÊNIO R.; CORDEIRO,GAUSS M..
Abstract We propose a new four-parameter lifetime model, called the extended log-logistic distribution, to generalize the two-parameter log-logistic model. The new model is quite flexible to analyze positive data. We provide some mathematical properties including explicit expressions for the ordinary and incomplete moments, probability weighted moments, mean deviations, quantile function and entropy measure. The estimation of the model parameters is performed by maximum likelihood using the BFGS algorithm. The flexibility of the new model is illustrated by means of an application to a real data set. We hope that the new distribution will serve as an alternative model to other useful distributions for modeling positive real data in many areas.
Tipo: Info:eu-repo/semantics/article Palavras-chave: Exponentiated generalize; Generating function; Log-logistic distribution; Maximum likelihood estimation; Momen.
Ano: 2017 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652017000100003
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The Generalized Odd Lindley-G Family: Properties and Applications Anais da ABC (AABC)
AFIFY,AHMED Z.; CORDEIRO,GAUSS M.; MAED,MOHAMED E.; ALIZADEH,MORAD; AL-MOFLEH,HAZEM; NOFAL,ZOHDY M..
Abstract: We introduce a new class of continuous distributions called the generalized odd Lindley-G family. Four special models of the new family are provided. Some explicit expressions for the quantile and generating functions, ordinary and incomplete moments, order statistics and Rényi and Shannon entropies are derived. The maximum likelihood method is used for estimating the model parameters. The flexibility of the generated family is illustrated by means of two applications to real data sets.
Tipo: Info:eu-repo/semantics/article Palavras-chave: Generating function; Lindley distribution; Maximum likelihood; Order statistic; T-X family.
Ano: 2019 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000500201
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A new model for describing remission times: the generalized beta-generated Lindley distribution Anais da ABC (AABC)
LIMA,MARIA DO CARMO S.; CORDEIRO,GAUSS M.; NASCIMENTO,ABRAÃO D.C.; SILVA,KÁSSIO F..
New generators are required to define wider distributions for modeling real data in survival analysis. To that end we introduce the four-parameter generalized beta-generated Lindley distribution. It has explicit expressions for the ordinary and incomplete moments, mean deviations, generating and quantile functions. We propose a maximum likelihood procedure to estimate the model parameters, which is assessed through a Monte Carlo simulation study. We also derive an additional estimation scheme by means of least square between percentiles. The usefulness of the proposed distribution to describe remission times of cancer patients is illustrated by means of an application to real data.
Tipo: Info:eu-repo/semantics/article Palavras-chave: GBG generator; Remission times; Extended Lindley model; Quantile function; Lambert function.
Ano: 2017 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652017000401343
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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 Log-Odd Normal Generalized Family of Distributions with Application Anais da ABC (AABC)
ZUBAIR,MUHAMMAD; POGÁNY,TIBOR K.; CORDEIRO,GAUSS M.; TAHIR,MUHAMMAD H..
Abstract: The normal distribution has a central place in distribution theory and statistics. We propose the log-odd normal generalized (LONG) family of distributions based on log-odds and obtain some of its mathematical properties including a useful linear representation for the new family. We investigate, as a special model, the log-odd normal power-Cauchy (LONPC) distribution. Some structural properties of LONPC distribution are obtained including quantile function, ordinary and incomplete moments, generating function and some asymptotics. We estimate the model parameters using the maximum likelihood method. The usefulness of the proposed family is proved empirically by means of a real air pollution data set.
Tipo: Info:eu-repo/semantics/article Palavras-chave: Generalized class; Maximum likelihood estimation; Normal distribution; Power-Cauchy distribution; Shannon entropy.
Ano: 2019 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000300203
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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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General results for the Marshall and Olkin's family of distributions Anais da ABC (AABC)
BARRETO-SOUZA,WAGNER; LEMONTE,ARTUR J.; CORDEIRO,GAUSS M..
Abstract Marshall and Olkin (1997) introduced an interesting method of adding a parameter to a well-established distribution. However, they did not investigate general mathematical properties of their family of distributions. We provide for this family of distributions general expansions for the density function, explicit expressions for the moments and moments of the order statistics. Several especial models are investigated. We discuss estimation of the model parameters. An application to a real data set is presented for illustrative purposes.
Tipo: Info:eu-repo/semantics/article Palavras-chave: Marshall-Olkin extended distribution; Maximum likelihood estimation; Monte Carlo simulation; Rényi entropy.
Ano: 2013 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652013000100003
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The Lindley Weibull Distribution: properties and applications Anais da ABC (AABC)
CORDEIRO,GAUSS M.; AFIFY,AHMED Z.; YOUSOF,HAITHAM M.; CAKMAKYAPAN,SELEN; OZEL,GAMZE.
Abstract 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.
Tipo: Info:eu-repo/semantics/article Palavras-chave: Lindley G-Family; Maximum likelihood; Moments; Order statistics.
Ano: 2018 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652018000602579
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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
Registros recuperados: 9
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