Beta Generalized Exponentiated Frechet Distribution with Applications

Badr, Majdah M.

doi:10.1515/phys-2019-0071

Cited by 6 publications

(3 citation statements)

References 5 publications

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“…by solving Equation ( 8) for q, we obtain q M given in (6). Then, substituting q M into Equation ( 9), we obtain the equation given in (7). By utilizing numerical methods and the "uniroot" function of the R software, we obtain α M ; replacing α M in Equation ( 6), we obtain q M .…”

Section: Moment Estimatorsmentioning

confidence: 99%

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A More Flexible Extension of the Fréchet Distribution Based on the Incomplete Gamma Function and Applications

Castillo,

Rojas,

Reyes

2023

Symmetry

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In this paper, a more flexible extension of the Fréchet distribution is introduced. The new distribution is defined by means of the stochastic representation as the quotient of two independent random variables, a Fréchet distribution and the power of a random variable, with uniform distribution in the interval (0, 1). We will call this new extension the slash Fréchet distribution and one of its main characteristics is that its tails are heavier than the Fréchet distribution. The general density of this distribution and some basic properties are determined. Its moments, skewness coefficients, and kurtosis are calculated. In addition, the estimation of the model parameters is obtained by the method of moments and maximum likelihood. Finally, three applications with real data are performed by fitting the new model and comparing it with the Fréchet distribution.

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Section: Moment Estimatorsmentioning

confidence: 99%

“…Badr, M.M. [7] presented a new class of distributions, called the Beta generalized exponentiated Fréchet distribution, based on the Beta-G family.…”

mentioning

confidence: 99%

A More Flexible Extension of the Fréchet Distribution Based on the Incomplete Gamma Function and Applications

Castillo,

Rojas,

Reyes

2023

Symmetry

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“…Badr M.M. [13] introduced Beta generalized Exponentiated Frechet distribution and discussed its properties with application. Generally, Frechet distribution fits in meteorological data.…”

Section: Introductionmentioning

confidence: 99%

Exponentiated Frechet Distribution with Application in Temperature of Assam, India Overview with New Properties and Estimation

Rahman

Roy

2021

AJPAS

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In this paper, a new kind of distribution has suggested with the concept of exponentiate. The reliability analysis including survival function, hazard rate function, reverse hazard rate function and mills ratio has been studied here. Its quantile function and order statistics are also included. Parameters of the distribution are estimated by the method of Maximum Likelihood estimation method along with Fisher information matrix and confidence intervals have also been given. The application has been discussed with the 30 years temperature data of Silchar city, Assam, India. The goodness of fit of the proposed distribution has been compared with Frechet distribution and as a result, for all 12 months, the proposed distribution fits better than the Frechet distribution.

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[Retracted] The Exponentiated Exponential‐Inverse Weibull Model: Theory and Application to COVID‐19 Data in Saudi Arabia

Badr

Sobahi

2022

Journal of Mathematics

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The purpose of this study is to introduce a new T-X family lifetime distribution known as exponentiated exponential-inverse Weibull, and we refer to this distribution as EE-IW. The new model’s basic mathematical characteristics are studied. The maximum likelihood (ML) estimator (MLE) approach is used to estimate the parameters. A Monte Carlo simulation is done to examine the behavior of the estimators. Finally, a real-world dataset is utilized to show the utility of the proposed model in many industries and to compare it to well-known distributions.

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Beta Generalized Exponentiated Frechet Distribution with Applications

Cited by 6 publications

References 5 publications

A More Flexible Extension of the Fréchet Distribution Based on the Incomplete Gamma Function and Applications

A More Flexible Extension of the Fréchet Distribution Based on the Incomplete Gamma Function and Applications

Exponentiated Frechet Distribution with Application in Temperature of Assam, India Overview with New Properties and Estimation

[Retracted] The Exponentiated Exponential‐Inverse Weibull Model: Theory and Application to COVID‐19 Data in Saudi Arabia

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