The Topp–Leone odd log-logistic family of distributions

Brito, Edleide de; Cordeiro, Gauss M.; Yousof, Haitham M.; Alizadeh, Morad; Silva, Giovana O.

doi:10.1080/00949655.2017.1351972

Cited by 80 publications

(42 citation statements)

References 21 publications

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“…We can perform the simulation experiments to assess of the finite sample behavior of the MLEs based on the following algorithm: 1.Use (7) to generate 1000 samples of size from the GOLL-RR model 2.Compute the MLEs for the 1000 samples. 3.Compute the SEs of the MLEs for the 1000 samples.…”

Section: Simulation Studiesmentioning

confidence: 99%

Extended Reciprocal Rayleigh Distribution: Copula, Properties and Real Data Modeling

Rezk

2020

Pak.j.stat.oper.res.

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A new extension of the reciprocal Rayleigh distribution is introduced. Simple type copula-based construction is presented for deriving and many bivariate and multivariate type distributions of the reciprocal Rayleigh model. The new reciprocal Rayleigh model generalizes another three reciprocal Rayleigh distributions. The performance of the estimation method is assessed using a graphical simulation study. The new model is better than some other important competitive models in modeling different real data sets.

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Section: Simulation Studiesmentioning

confidence: 99%

Extended Reciprocal Rayleigh Distribution: Copula, Properties and Real Data Modeling

Rezk

2020

Pak.j.stat.oper.res.

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“…On the other side, in the recent years, the Topp-Leone distribution reveals to be particularly efficient to define general families of distributions enjoying nice properties, including a great ability to model different practical data sets. Among these families, there are the Topp-Leone-G family studied via different approaches by [11][12][13][14], the Topp-Leone-G power series family by [15,16], the type II Topp-Leone-G family by [17], the Topp-Leone odd log-logistic family by [18], the type II generalized Topp-Leone-G family by [19], the Fréchet Topp-Leone-G family by [20], the exponentiated generalized Topp-Leone-G family by [21] and the transmuted Topp-Leone-G family by [22]. Now, for the purposes of this paper, let us describe the general family introduced by [23].…”

Section: Introductionmentioning

confidence: 99%

Type II Power Topp-Leone Generated Family of Distributions with Statistical Inference and Applications

Bantan

Jamal²,

Chesneau

et al. 2020

Symmetry

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In this paper, we present and study a new family of continuous distributions, called the type II power Topp-Leone-G family. It provides a natural extension of the so-called type II Topp-Leone-G family, thanks to the use of an additional shape parameter. We determine the main properties of the new family, showing how they depend on the involving parameters. The following points are investigated: shapes and asymptotes of some important functions, quantile function, some mixture representations, moments and derivations, stochastic ordering, reliability and order statistics. Then, a special model of the family based on the inverse exponential distribution is introduced. It is of particular interest because the related probability functions are tractable and possess various kinds of asymmetric shapes. Specially, reverse J, left skewed, near symmetrical and right skewed shapes are observed for the corresponding probability density function. The estimation of the model parameters is performed by the use of three different methods. A complete simulation study is proposed to illustrate their numerical efficiency. The considered model is also applied to analyze two different kinds of data sets. We show that it outperforms other well-known models defined with the same baseline distribution, proving its high level of adaptability in the context of data analysis.

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“…Some wellknown generators are Marshall-Olkin-G family by Marshall and Olkin (1997) and Gupta et al (1998) who proposed the exponentiated-G class. Other generators that can be cited are Barreto-Souza and Simas (2013), Alzaatreh et al (2013), Bourguignon et al (2014), Yousof et al (2015), Tahir et al (2016), Afify et al (2016b), Afify et al (2016a), Yousof et al (2016), Merovci et al (2016), Korkmaz and Genc (2016), Alizadeh et al (2016), Afify et al (2017), Hamedani et al (2017), Cordeiro et al (2017), Alizadeh et al (2017a,b) Nofal et al (2017), Yousof et al (2017a,b), Brito et al (2017), , Cordeiro et al (2018), Hamedani et al (2018), Korkmaz et al (2018a,b), Yousof et al (2018a,b), and , among others.…”

Section: Introductionmentioning

confidence: 99%

A New Weibull Class of Distributions: Theory, Characterizations and Applications

Yousof

Majumder²,

Jahanshahi

et al. 2018

JSRI

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The Topp–Leone odd log-logistic family of distributions

Cited by 80 publications

References 21 publications

Extended Reciprocal Rayleigh Distribution: Copula, Properties and Real Data Modeling

Extended Reciprocal Rayleigh Distribution: Copula, Properties and Real Data Modeling

Type II Power Topp-Leone Generated Family of Distributions with Statistical Inference and Applications

A New Weibull Class of Distributions: Theory, Characterizations and Applications

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