Performance rating of the transmuted exponential distribution: an analytical approach

Owoloko, E. A.; Oguntunde, Pelumi E.; Adejumo, A. O.

doi:10.1186/s40064-015-1590-6

Cited by 52 publications

(41 citation statements)

References 27 publications

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“…The result is an affirmation to the fact that the method quadratic rank transmutation map for adding a single or transmuted parameter has increased the flexibility of the power Gompertz distribution. Hence, this study is in line with the conclusions in [33,36,37,38,39,40,49,50,51].…”

Section: Data Set Isupporting

confidence: 92%

Properties and Applications of a Transmuted Power Gompertz Distribution

Eraikhuemen

Chama

Asongo

et al. 2020

AJPAS

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This article introduces and studies a new probability distribution called “Transmuted Power Gompertz distribution”. It looks at the properties of the transmuted power Gompertz distribution. The article also estimates the four parameters of the new model using the method of maximum likelihood estimation. The article further evaluates the goodness-of-fit of the proposed distribution compared to other distributions by means of applications of the model to two real life datasets and the result show that the proposed distribution is more flexible than the fitted existing distributions.

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Section: Data Set Isupporting

confidence: 92%

Properties and Applications of a Transmuted Power Gompertz Distribution

Eraikhuemen

Chama

Asongo

et al. 2020

AJPAS

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“…A few of them are the work by Aryal and Tsokos (2011): transmuted Weibull distribution; Khan and King (2013): transmuted modified Weibull distribution; Ashour and Eltehiwy (2013): transmuted Lomax distribution; Hady and Ebraheim (2014): exponentiated transmuted Weibull distribution; Hussian (2014): transmuted exponentiated gamma distribution; Merovci and Puka (2014): transmuted Pareto distribution; Owokolo et al (2015): transmuted exponential distribution, and Khan et al (2016): transmuted Kumaraswamy distribution; Afify et al (2014): transmuted complementary Weibull geometric distribution; Yousof et al (2015): the transmuted exponentiated generalized-G family of distributions, and a host of many others. Tahir and Cordeiro (2016) provided a comprehensive list of contributed works on transmuted distributions.…”

Section: F(x) = (1 + λ)G(x) − λG(x)mentioning

confidence: 99%

The Kumaraswamy transmuted Pareto distribution

et al. 2017

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In this work, a new five-parameter Kumaraswamy transmuted Pareto (KwTP) distribution is introduced and studied. We discuss various mathematical and statistical properties of the distribution including obtaining expressions for the moments, quantiles, mean deviations, skewness, kurtosis, reliability and order statistics. The estimation of the model parameters is performed by the method of maximum likelihood. We compare the distribution with few other distributions to show its versatility in modeling data with heavy tail.

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“…Then, it is proved that the additional parameter θ can significantly increase the flexibility of the former exponential distribution, demonstrating a superiority in terms of fit in comparison to the former exponential distribution. We may refer the reader to [16], and the references therein.…”

Section: Introductionmentioning

confidence: 99%

A weighted transmuted exponential distributions with environmental applications

Chesneau¹,

Bakouch²,

Khan³

2020

Stat., optim. inf. comput.

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In this paper, we introduce a new three-parameter distribution based on the combination of re-parametrization of the so-called EGNB2 and transmuted exponential distributions. This combination aims to modify the transmuted exponential distribution via the incorporation of an additional parameter, mainly adding a high degree of flexibility on the mode and impacting the skewness and kurtosis of the tail. We explore some mathematical properties of this distribution including the hazard rate function, moments, the moment generating function, the quantile function, various entropy measures and (reversed) residual life functions. A statistical study investigates estimation of the parameters using the method of maximum likelihood. The distribution along with other existing distributions are fitted to two environmental data sets and its superior performance is assessed by using some goodness-of-fit tests. As a result, some environmental measures associated with these data are obtained such as the return level and mean deviation about this level.

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Performance rating of the transmuted exponential distribution: an analytical approach

Cited by 52 publications

References 27 publications

Properties and Applications of a Transmuted Power Gompertz Distribution

Properties and Applications of a Transmuted Power Gompertz Distribution

The Kumaraswamy transmuted Pareto distribution

A weighted transmuted exponential distributions with environmental applications

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