Gumbel-Weibull Distribution: Properties and Applications

Lee, Carl Moun-shen; Al-Aqtash, Raid; Famoye, Felix

doi:10.22237/jmasm/1414815000

Cited by 59 publications

(40 citation statements)

References 21 publications

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“…The observation has been that the dopant atoms can modify the electronic band structure of graphene, and open up an energy gap between the valence and conduction band. Recently, an ab-initio study of the different dopant interactions in the host graphene has also been reported which provides useful information on the behavior of dopants [15]. While Lherbie et.…”

Section: Fig1 a Schematic Presentation Of Graphene Sheet Each Bravamentioning

confidence: 99%

Designing band gap of graphene by B and N dopant atoms

2013

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Ab-initio calculations have been performed to study the geometry and electronic structure of boron (B) and nitrogen (N) doped graphene sheet. The effect of doping has been investigated by varying the concentrations of dopants from 2 % (one atom of the dopant in 50 host atoms) to 12 % (six dopant atoms in 50 atoms host atoms) and also by considering different doping sites for the same concentration of substitutional doping. All the calculations have been performed by using VASP (Vienna Ab-initio Simulation Package) based on density functional theory. By B and N doping p-type and n-type doping is induced respectively in the graphene sheet. While the planar structure of the graphene sheet remains unaffected on doping, the electronic properties change from semimetal to semiconductor with increasing number of dopants. It has been observed that isomers formed differ significantly in the stability, bond length and band gap introduced. The band gap is maximum when dopants are placed at same sublattice points of graphene due to combined effect of symmetry breaking of sub lattices and the band gap is closed when dopants are placed at adjacent positions (alternate sublattice positions). These interesting results provide the possibility of tuning the band gap of graphene as required and its application in electronic devices such as replacements to Pt based catalysts in Polymer Electrolytic Fuel Cell (PEFC).

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Section: Fig1 a Schematic Presentation Of Graphene Sheet Each Bravamentioning

confidence: 99%

Designing band gap of graphene by B and N dopant atoms

2013

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“…The data has been previously used by Nichols and Padgett (2006), Lemonte (2011) andAl-Aqtash et al (2014). The data is as follows: 11 3.11 3.15 3.15 3.19 3.22 3.22 3.27 3.28 3.31 3.31 3.33 3.39 3.39 3.56 3.60 3.65 3.68 3.70 3.75 4.20 4.38 4.42 4.70 4.90 The summary of the data is given in Table 1.…”

Section: Data Set Imentioning

confidence: 99%

The Weibull-Exponential Distribution: Its Properties and Applications

Oguntunde¹,

Balogun²,

Okagbue³

et al. 2015

J. of Applied Sciences

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A B S T R A C TA three parameter probability model, the so called Weibull-exponential distribution was proposed using the Weibull Generalized family of distributions. Some important models in the literature were found to be sub models of the new model. Explicit expressions for some of its basic mathematical properties like moments, moment generating function, reliability analysis, limiting behavior and order statistics were derived. The method of maximum likelihood estimation was proposed in estimating its parameters and real life applications were provided to illustrate its flexibility and potentiality over the exponential distribution.

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“…In this section, the usefulness of the MOEWED is demonstrated. Oguntunde, et al [21]; Alzaatreh, et al [23] and Al-Aqtash, et al [24].…”

Section: Application To Real Datamentioning

confidence: 99%

The Marshall-Olkin Extended Weibull-Exponential Distribution: Properties and Applications

Chinazom

Chinaka

Azubuike

2019

Journal of Asian Scientific Research

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In this paper, a new probability distribution is introduced following the work of Marshall and Olkin [1]. Sub models of the proposed distribution are also important models used in the literature. Expressions for some of its properties such as limiting behavior, quantile function, moments, moment generating function, order statistics, entropy, and reliability functions are derived. The method of maximum likelihood is used in the estimation of the model parameters. The graphs of the hazard rate function plotted for some values of the parameters show that the distribution can be used to model data which exhibits decreasing, increasing or bathtub hazard rate behavior. Series expression of the probability density function was also obtained which enables the expression of some properties of the new distribution in terms of the properties of the base distribution. The distribution is fitted to two real life datasets to show its flexibility and usefulness. Its goodness-of-fit indices indicate better fit to the datasets than the three other distributions compared with it. Contribution/ Originality: This study originates a new probability distribution named Marshall-Olkin Extended Weibull-Exponential distribution (MOEWED) which is a four-parameter continuous univariate probability distribution capable of modelling data sets of diverse shapes of distribution including approximately symmetric, left-skewed, right-skewed, J-shape, reversed J-shape and unimodal shapes.

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Gumbel-Weibull Distribution: Properties and Applications

Cited by 59 publications

References 21 publications

Designing band gap of graphene by B and N dopant atoms

Designing band gap of graphene by B and N dopant atoms

The Weibull-Exponential Distribution: Its Properties and Applications

The Marshall-Olkin Extended Weibull-Exponential Distribution: Properties and Applications

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