A new family of distributions with properties, regression models and applications

Yousof, Haitham M.; Altun, Emrah; Ramires, Thiago G.; Alizadeh, Morad; Rasekhi, Mahdi

doi:10.1080/09720510.2017.1411028

Cited by 54 publications

(32 citation statements)

References 19 publications

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“…In this Section, two real data applications are presented for illustrating the importance and flexibility of the new model. The first data set (1.1, 1.4, 1.3, 1.7, 1.9, 1.8, 1.6, 2.2, 1.7, 2.7, 4.1, 1.8, 1.5, 1.2, 1.4, 3, 1.7, 2.3, 1.6, 2), called the failure time data, represents the lifetime data relating to relief times (in minutes) of patients receiving an analgesic (for more applications to this data see [6][7][8][9][10][11][12]).…”

Section: Modelingmentioning

confidence: 99%

A New Flexible Three-Parameter Model: Properties, Clayton Copula, and Modeling Real Data

2020

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In this article, we introduced a new extension of the binomial-exponential 2 distribution. We discussed some of its structural mathematical properties. A simple type Copula-based construction is also presented to construct the bivariate- and multivariate-type distributions. We estimated the model parameters via the maximum likelihood method. Finally, we illustrated the importance of the new model by the study of two real data applications to show the flexibility and potentiality of the new model in modeling skewed and symmetric data sets.

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Section: Modelingmentioning

confidence: 99%

A New Flexible Three-Parameter Model: Properties, Clayton Copula, and Modeling Real Data

2020

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“…We provide three applications to illustrate the importance, potentiality and flexibility of the WGLL model. For these data, we compare the WGLL distribution with BXII, WLL, Marshall-Olkin BXII (MOBXII), Topp Leone BXII (TLBXII), Zografos-Balakrishnan BXII (ZBBXII), Five Parameters beta BXII (FBBXII), BBXII, B exponentiated BXII (BEBXII), Five Parameters Kumaraswamy BXII (FKwBXII) and KwBXII distributions given in [2,3,8,9]. The three data sets are given in the Appendix.…”

Section: Applicationsmentioning

confidence: 99%

Extended Weibull log-logistic distribution

Abouelmagd¹,

Hamed²,

Almamy³

et al. 2019

J. Nonlinear Sci. Appl.

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A new distribution called the Weibull Generalized log logistic distribution is introduced along with a simple physical motivation. Several of its statistical properties are derived. Three applications are provided to illustrate the importance of the new distribution. The new distribution is shown to be better that other important competitive models via three applications. The method of maximum likelihood is used to estimate the unknown parameters.

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“…Some importand extensions of the BXII model can be cited by Zimmer et al [27], Cordeiro et al [10], Afify at al. [2], Altun et al [4,5]), Yousof et al [25] and Yousof et al [26] (for more details about the BXII see Burr [6][7][8], Burr and Cislak [9], Hatke [14], and Rodriguez [22]). In this work, we propose a new BXII, called the Burr-Hatke Logarithmic BXII distribution (BH-BXII) by using the Burr-Hatke Logarithmic G family firstly introduced by Yousof et al [25].…”

Section: Introduction Construction and Motivationmentioning

confidence: 99%

A new two parameter Burr XII distribution: properties, copula, different estimation methods, and modeling acute bone cancer data

Mansour¹,

Yousof²,

Shehata³

et al. 2020

J. Nonlinear Sci. Appl.

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We present a new two parameter Burr XII distribution. The new density can be right skewed with no peak, unimodal-right skewed, left skewed and symmetric. The new failure rate can be decreasing, unimodal and increasing. Properties related to the new model are derived. Simple type copula-based construction is presented for deriving some new bivariate and multivariate type distributions. The maximum likelihood estimation, Anderson Darling estimation, right tail Anderson Darling estimation and left tail Anderson Darling estimation methods are used to estimate the model parameters. A new data set is analyzed for comparing estimations methods and the competitive models.

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A new family of distributions with properties, regression models and applications

Cited by 54 publications

References 19 publications

A New Flexible Three-Parameter Model: Properties, Clayton Copula, and Modeling Real Data

A New Flexible Three-Parameter Model: Properties, Clayton Copula, and Modeling Real Data

Extended Weibull log-logistic distribution

A new two parameter Burr XII distribution: properties, copula, different estimation methods, and modeling acute bone cancer data

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