On the Transmuted AdditiveWeibull Distribution

Elbatal, İbrahim; Aryal, Gokarna

doi:10.17713/ajs.v42i2.160

Cited by 72 publications

(45 citation statements)

References 7 publications

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“…For these data, we compare the fit of the EGWP with the other five parameter distributions which has been generalized using the Weibull genesis. We compare the fits of the EGWP with the generalized transmuted-W (GTW) distribution (Nofal, Afify, Yousof and Cordeiro [30]), the McDonald Weibull (McW) distribution (Cordeiro, Hashimoto and Ortega [15]), the modified beta Weibull (MBW) distribution (Khan [19]) and the transmuted additive Weibull (TAW) distribution (Elbatal and Aryal [16]) with the corresponding densities given by (for x > )…”

Section: Applicationsmentioning

confidence: 99%

The Exponentiated Generalized-G Poisson Family of Distributions

Aryal

Yousof

2017

Stochastics and Quality Control

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Abstract:In this article we propose and study a new family of distributions which is defined by using the genesis of the truncated Poisson distribution and the exponentiated generalized-G distribution. Some mathematical properties of the new family including ordinary and incomplete moments, quantile and generating functions, mean deviations, order statistics and their moments, reliability and Shannon entropy are derived. Estimation of the parameters using the method of maximum likelihood is discussed. Although this generalization technique can be used to generalize many other distributions, in this study we present only two special models. The importance and flexibility of the new family is exemplified using real world data.

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Section: Applicationsmentioning

confidence: 99%

The Exponentiated Generalized-G Poisson Family of Distributions

Aryal

Yousof

2017

Stochastics and Quality Control

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“…Aryal and Tsokos (2009) considered the transmuted Weibull distribution. Elbatal and Aryal (2013) proposed transmuted log-logistic distribution. Khan and King (2013) considered the transmuted modified Weibull distribution.…”

Section: Introductionmentioning

confidence: 99%

“…Khan and King (2013) considered the transmuted modified Weibull distribution. Elbatal and Aryal (2013) considered the transmuted additive Weibull distribution that extends the additive Weibull distribution. Elbatal;Diab and Alim (2013)considered the transmuted modified inverse Weibull distribution.…”

Section: Introductionmentioning

confidence: 99%

The Transmuted Generalized Lindley Distribution: Properties and an Application to a Data Set on Time-Up-to-Cure of Patients Treated With a Triazole Antifungal Drug in an Intensive Care Unit

2018

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In this paper, we consider transmuted generalized Lindley distribution, obtained via the quadratic rank transmutation map under the Lindley distribution. This distribution exhibits, in addition to decreasing, increasing and bathtub hazard rates, depending on its parameters, also unimodal hazard rate shape. A comprehensive mathematical treatment of this distribution is provided. Expressions for the moment generating function, moments, order statistics, residual life and reversed failure rate function are derived. The model parameters are estimated by the maximum likelihood method. A simulation study is performed to verify the behavior of the estimation procedure in terms of mean square errors and coverage probability. Global and local influence diagnostic procedures are provided. We then analyse a real data set on time-up-to-cure of patients treated with a triazole antifungal drug in an intensive care unit in Brazil.

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“…A state-of-the-art survey on the class of such generalized Weibull distributions can be found in Lai et al (2001) and Nadarajah (2009). Some generalization of the Weibull distribution studied in the literature includes, but are not limited to, exponentiated Weibull (Mudholkar and Srivastava, 1993;Mudholkaret al 1995;Mudholkar, Srivastava et al 1996), additive Weibull (Xie and Lai, 1995 (Nofal et al, 2017), transmuted additiveWeibull (Elbatal and Aryal, 2013), exponentiated generalized modified Weibull (Aryal and Elbatl, 2015), transmuted exponentiated additive Weibull ), Marshall Olkin additive Weibull ), Kumaraswamy transmuted exponentiated additive Weibull ) distributions and the Topp-Leone Generated Weibull distribution (Aryal et al, 2016) Let ( ) be the probability density function (pdf) of a random variable ∈ , ] for −∞ < < < ∞ and let [ ( )] be a function of the cumulative distribution function (cdf) of a random variable such that [ ( )] satisfies the following conditions: …”

Section: Introductionmentioning

confidence: 99%

The Transmuted Geometric-Weibull distribution: Properties, Characterizations and Regression Models

Nofal

Gebaly

Altun

et al. 2017

Pak.j.stat.oper.res.

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We propose a new lifetime model called the transmuted geometric-Weibull distribution. Some of its structural properties including ordinary and incomplete moments, quantile and generating functions, probability weighted moments, Rényi and q-entropies and order statistics are derived. The maximum likelihood method is discussed to estimate the model parameters by means of Monte Carlo simulation study. A new location-scale regression model is introduced based on the proposed distribution. The new distribution is applied to two real data sets to illustrate its flexibility. Empirical results indicate that proposed distribution can be alternative model to other lifetime models available in the literature for modeling real data in many areas.

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On the Transmuted AdditiveWeibull Distribution

Abstract: In this article a continuous distribution, the so-called transmuted additive Weibull distribution, that extends the additive Weibull distribution and some other distributions is proposed and studied. We will use the quadratic rank transmutation map proposed by Shaw and Buckley (2009)

Cited by 72 publications

References 7 publications

The Exponentiated Generalized-G Poisson Family of Distributions

The Exponentiated Generalized-G Poisson Family of Distributions

The Transmuted Generalized Lindley Distribution: Properties and an Application to a Data Set on Time-Up-to-Cure of Patients Treated With a Triazole Antifungal Drug in an Intensive Care Unit

The Transmuted Geometric-Weibull distribution: Properties, Characterizations and Regression Models

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