The Exponentiated Generalized Extended Pareto Distribution

Andrade, Thiago A. N. de; Zea, Luz M.

doi:10.6339/jds.201810_16(4).00007

Journal of Data Science

2021

DOI: 10.6339/jds.201810_16(4).00007

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The Exponentiated Generalized Extended Pareto Distribution

Thiago A. N. de Andrade¹,

Luz M. Zea²

Abstract: We define and study a three-parameter model with positive real support called the exponentiated generalized extended Pareto distribution. We provide a comprehensive mathematical treatment and prove that the formulas related to the new model are simple and manageable. We study the behaviour of the maximum likelihood estimates for the model parameters using Monte Carlo simulation. We take advantage of applied studies and offer two applications to real data sets that proves empirically the power of adjustment of … Show more

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Cited by 7 publications

(1 citation statement)

References 19 publications

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“…De Andrade and Zea[28] and Selim[29]. We fitted the above-mentioned data sets usingMLE to the flexible reduced logarithmic-inverse Lomax (FRL-IL), inverse Nadarajah-Haghighi (INH), inverse Weibull (IW), inverse exponential (IE) and Inverse Generalized Power Weibull IGPW distributions.…”

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confidence: 99%

Flexible Reduced Logarithmic-Inverse Lomax Distribution with Application for Bladder Cancer

Buzaridah¹,

Ramadan²,

El-Desouky³

2021

OJMSi

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In this paper, a new method for adding parameters to a well-established distribution to obtain more flexible new families of distributions is applied to the inverse Lomax distribution (IFD). This method is known by the flexible reduced logarithmic-X family of distribution (FRL-X). The proposed distribution can be called a flexible reduced logarithmic-inverse Lomax distribution (FRL-IL). The statistical and reliability properties of the proposed models are studied including moments, order statistics, moment generating function, and quantile function. The estimation of the model parameters by maximum likelihood and the observed information matrix are also discussed. In order to assess the potential of the newly created distribution. The extended model is applied to real data and the results are given and compared to other models.

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mentioning

confidence: 99%

Flexible Reduced Logarithmic-Inverse Lomax Distribution with Application for Bladder Cancer

Buzaridah¹,

Ramadan²,

El-Desouky³

2021

OJMSi

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A unified generalized family of distributions: Properties, inference, and real-life applications

Ahmad,

Jabeen,

Zaka

et al. 2024

AIP Advances

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A fully parametric family of distributions called the new generalized family (NGF) is proposed. The cumulative distribution function of the proposed NGF is constructed based on the reciprocal of the hazard rate function. Furthermore, a special sub-family called the new generalized Pareto (NGP) family is also addressed. A special sub-model of the NGP class called the new Kumaraswamy Pareto (NKP) distribution is introduced. The NKP model provides flexible shapes for its hazard and density functions. The properties of the NKP distribution are derived. In addition, the inferences under complete and bootstrapped samples of the NKP parameters are addressed. Monte Carlo simulation studies are also performed to explore the behavior of different estimators. Three real-life datasets are fitted using the NKP distribution, showing the superiority fit of the proposed statistical model.

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Exponentiated Teissier distribution with increasing, decreasing and bathtub hazard functions

Sharma

Singh

Shekhawat

2020

Journal of Applied Statistics

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The Exponentiated Generalized Extended Pareto Distribution

Cited by 7 publications

References 19 publications

Flexible Reduced Logarithmic-Inverse Lomax Distribution with Application for Bladder Cancer

Flexible Reduced Logarithmic-Inverse Lomax Distribution with Application for Bladder Cancer

A unified generalized family of distributions: Properties, inference, and real-life applications

Exponentiated Teissier distribution with increasing, decreasing and bathtub hazard functions

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