The odd log-logistic Topp–Leone G family of distributions: heteroscedastic regression models and applications

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

doi:10.1007/s00180-017-0780-9

Cited by 29 publications

(16 citation statements)

References 27 publications

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“…This section presents two applications of the new distribution using real data sets. We shall compare the fit of the new distribution with the Poisson Burr X Fr [19], Abd El-Bar and Ragab [27], Hamedani et al [28], Ahsanul Haq et al [29], Basheer [30], Korkmaz et al [31], Mukhtar [32], Alizadeh et al [33,34], Yousof et al [35][36][37] and Korkmaz et al [38]. In order to compare the distributions, we consider the following criteria: the −2 (α,β,λ) (Maximized…”

Section: Real Data Modellingmentioning

confidence: 99%

A new three parameter Fréchet model with mathematical properties and applications

Al-Babtain

Elbatal

Yousof

2020

Journal of Taibah University for Science

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A new three-parameter extension of the Fréchet model is proposed and studied. Some of its statistical properties are derived. A simple type Copula-based construction via Morgenstern family and via Clayton copula is used to derive many bivariate and multivariate extensions of the new model. We assessed the performance of the maximum likelihood estimators using a simulation study. The importance of the new model is shown via two applications to real data sets.

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Section: Real Data Modellingmentioning

confidence: 99%

A new three parameter Fréchet model with mathematical properties and applications

Al-Babtain

Elbatal

Yousof

2020

Journal of Taibah University for Science

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“…The various extensions of the Topp-Leone distribution have been studied by several authors. For example: Topp-Leone family of distributions by [2], Topp-Leone generator of distributions [32], Topp-Leone generated family of distributions by [31], Topp-Leone Nadarajah-Haghighi distribution by [37], Transmuted Topp-Leone G family of distributions by [36], ToppLeone odd log-logistic family of distributions by [8], odd log-logistic Topp-Leone G family of distributions by [1], type II Topp-Leone generalized family by [13], Topp-Leone odd Lindley-G family of distributions by [30], type II generalized Toppleone family by [20], Topp-Leone generalized Odd log-logistic family by [22], new power Topp-Leone generalized family by [6] and Frechet Topp-Leone family by [29].…”

Section: Introductionmentioning

confidence: 99%

A weighted Topp-Leone G family of distributions: properties, applications for modelling reliability data and different method of estimation

Hashempour‎

2022

Hacettepe Journal of Mathematics and Statistics

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‎Based on the Topp-Leone distribution‎, ‎we propose a new family of continuous‎ ‎distributions with one shape parameter called the weighted Topp-Leone family (WTL-G)‎. ‎We study some basic properties including quantile function‎, ‎asymptotic‎, ‎mixture for cdf and pdf‎, ‎various entropies and order statistics‎ .‎Then we study Lindley case as special case with more details‎. ‎The maximum likelihood estimates of parameters are compared with various methods of estimations by conducting a simulation study‎. ‎Finally‎, ‎three real data sets are illustration the purposes.

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“…However, using a generator with support lying between 0 and 1 is still convenient. Furthermore, there are many works extending TL family such as the TL odd log-logistic-G family [15], the odd log-logistic TL-G family [16] and the TL exponentiated-G family [17].…”

Section: Introductionmentioning

confidence: 99%

The Generalized Distributions on the Unit Interval based on the T-Topp-Leone Family of Distributions

et al. 2022

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The Topp-Leone (TL) distribution is introduced by Topp and Leone [1]. Its probability density function is a simple function with only one parameter. Even though the TL distribution has been discussed and applied in many research fields, but there is a limitation about its shape. In this article, we propose the T-TL family of distributions using quantile function of family of distributions to generate generalized TL distributions including the Weibull-TL{exponential}, the log-logistic-TL{exponential}, the logistic-TL{extreme value}, the exponential-TL{log-logistic} and the normal-TL{logistic} distributions. Some associated properties and inferences are discussed. Some graphical representations related to the probability density function are shown. Finally, 3 real datasets are applied to illustrate the generalized TL distributions. HIGHLIGHTS The Topp-Leone distribution is introduced in 1955. Its probability density function is a simple function with only one parameter. It has been discussed and applied in many research fields The T-Topp-Leone family of distributions using quantile function of family of distributions to generate generalized Topp-Leone distributions including the Weibull-Topp-Leone{exponential}, the log-logistic-Topp-Leone{exponential}, the logistic-Topp-Leone{extreme value}, the exponential-Topp-Leone{log-logistic} and the normal-Topp-Leone{logistic} distributions Some statistical properties, such as reliability function, hazard function, quantile function of T-Topp-Leone family, Shannon entropy, moments, mean deviation and median deviation are discussed All generalized Topp-Leone distributions are applied to three real datasets and the results indicated that five distributions obtained from the new family can be used as good alternatives to the Topp-Leone, beta and Kumaraswamy distributions GRAPHICAL ABSTRACT

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The odd log-logistic Topp–Leone G family of distributions: heteroscedastic regression models and applications

Cited by 29 publications

References 27 publications

A new three parameter Fréchet model with mathematical properties and applications

A new three parameter Fréchet model with mathematical properties and applications

A weighted Topp-Leone G family of distributions: properties, applications for modelling reliability data and different method of estimation

The Generalized Distributions on the Unit Interval based on the T-Topp-Leone Family of Distributions

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