The Beta-Dagum Distribution: Definition and Properties

Domma, Filippo; Condino, Francesca

doi:10.1080/03610926.2011.647219

Cited by 44 publications

(36 citation statements)

References 20 publications

(17 reference statements)

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“…Domma & Condino (2013) introduced a ve parameter Beta-Dagum distribution, the special case of four-parameter of Beta Dagum has been used by Domma & Condino (2016) for modeling hydrologic data. Oluyede & Rajasooriya (2013) proposed the six paprameter Mc-Dagum Distribution.…”

Section: Introductionmentioning

confidence: 99%

The Odd Log-Logistic Dagum Distribution: Properties and Applications

Domma¹,

Eftekharian²,

Afify³

et al. 2018

Rev. colomb. estad.

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This paper introduces a new four-parameter lifetime model called the odd log-logistic Dagum distribution. The new model has the advantage of being capable of modeling various shapes of aging and failure criteria. We derive some structural properties of the model odd log-logistic Dagum such as order statistics and incomplete moments. The maximum likelihood method is used to estimate the model parameters. Simulation results to assess the performance of the maximum likelihood estimation are discussed. We prove empirically the importance and exibility of the new model in modeling real data. Este artículo introduce un nuevo modelo de sobrevida de cuatro paráme-tros llamado la distribución Odd Log-Logistica de Dagum. El nuevo modelo tiene la ventaja de ser capaz de modelar varias formas de envejecimiento y criterios de falla. Derivamos propiedades estructurales del modelo Odd Log-Logistica de Dagum tales como estadísticos de orden y momentos incompletos. El método de máxima verosimilitud es usado para estimar los parámetros del modelo. Se discuten resultados de algunas simulaciones, las cuales permitieron establecer la eciencia del método de máxima verosimilitud. Probamos empíricamente la importancia y exibilidad del nuevo modelo a través de un ejemplo en datos reales.Palabras clave: distribución Dagum; familia Odd-Log-Logística; máxima verosimilitud; estadísticas de orden.

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Section: Introductionmentioning

confidence: 99%

The Odd Log-Logistic Dagum Distribution: Properties and Applications

Domma¹,

Eftekharian²,

Afify³

et al. 2018

Rev. colomb. estad.

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“…Similarly, we can obtain the QF of many other beta generated distributions like the Beta weibull distribution [19], Beta pareto distribution [2], Beta Rayleigh distribution [1], Beta Fréchet distribution [24], Beta burr distribution [29], Beta dagum distribution [8] and Beta half logistic distribution [16] etc.…”

Section: Beta Generated Distributionsmentioning

confidence: 99%

Some general results on quantile functions for the generalized beta family

Sharma

Chakrabarty

2017

Stat., optim. inf. comput.

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In this article we study and obtain some general results on the quantile functions for the generalized beta family and the family of beta generated distributions. Having described the standardization rule, we have derived the quantile function of the 5 parameter generalized beta family of distributions [21,22]. Further, quantile rules for distributional model building have been applied to generate quantile functions of several known and unknown distributions. Attempts have been made to obtain and study the quantile functions of size biased generalized beta distributions and generalized beta generated distributions. Finally, we have applied the proposed results to simulated as well as real datasets.

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“…Oluyede and Ye [8] presented the class of weighted Dagum and related distributions. Domma and Condino [4] proposed the five parameter beta-Dagum distribution.…”

Section: Introductionmentioning

confidence: 99%

“…The behavior thus discussed led several authors to study the model in different fields. Of late Dagum distribution has been investigated from a reliability point of view and used to analyze survival data (see Domma et al, [3], [4]). Kleiber and Kotz [5] and Kleiber [6] provided an exhaustive review on the origin of the Dagum model and its applications.…”

Section: Introductionmentioning

confidence: 99%

Reliability test plan based on Dagum distribution

Alzahrani

2016

IJASP

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Apart from other probability models, Dagum distribution is also an effective probability distribution that can be considered for studying the lifetime of a product/material. Reliability test plans deal with sampling procedures in which items are put to test to decide from the life of the items to accept or reject a submitted lot. In the present study, a reliability test plan is proposed to determine the termination time of the experiment for a given sample size, producers risk and termination number when the quantity of interest follows Dagum distribution. In addition to that, a comparison between the proposed and the existing reliability test plans is carried out with respect to time of the experiment. In the end, an example illustrates the results of the proposed plan.

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The Beta-Dagum Distribution: Definition and Properties

Cited by 44 publications

References 20 publications

The Odd Log-Logistic Dagum Distribution: Properties and Applications

The Odd Log-Logistic Dagum Distribution: Properties and Applications

Some general results on quantile functions for the generalized beta family

Reliability test plan based on Dagum distribution

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