Transmuted generalized exponential distribution: A generalization of the exponential distribution with applications to survival data

Khan, Muhammad Shuaib; King, Robert; Hudson, Irene L.

doi:10.1080/03610918.2015.1118503

Cited by 41 publications

(28 citation statements)

References 17 publications

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“…The TGE distribution of Khan et al (2017b) is a special case of TEAW distribution of Nofal et al (2017), which has already been characterized in Hamedani (2017a). We believe that Khan et al were not aware of Nofal et al's paper.…”

Section: Introductionmentioning

confidence: 81%

Characterizations and Infinite Divisibility of Certain Recently Introduced Distributions IV

Hamedani¹

2018

IJSP

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Section: Introductionmentioning

confidence: 81%

Characterizations and Infinite Divisibility of Certain Recently Introduced Distributions IV

Hamedani¹

2018

IJSP

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“…These data were analyzed by Afify et al [2]. The OIPEx distribution will be compared with some competitive models namely: the exponentiated exponential (EEx) due to Gupta and Kundu [8], beta exponential (BEx) due to Jones [9], transmuted generalized exponential (TGEx) due to Khan et al [10], Kumaraswamy transmuted exponential (KTEx) due to Afify et al [3], alpha power exponential (APEx) due to Mahdavi and Kundu [13], Marshall-Olkin logistic-exponential (MOLEx) due to Mansoor et al [14], gamma (Ga), and Ex distributions whose PDFs are given by…”

Section: Two Applicationsmentioning

confidence: 99%

A new three-parameter exponential distribution with applications in reliability and engineering

Aldahlan¹,

Afify²

2020

J. Nonlinear Sci. Appl.

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We introduce a new three-parameter model called the odd inverse Pareto exponential distribution which extends the exponential distribution and provides constant, decreasing, increasing, decreasing-increasing, upside-down bathtub and bathtub failure rate shapes. Some of its mathematical properties are derived. The maximum likelihood method is used to estimate the model parameters. The proposed model provides better fits over some existing distributions by means of two real data sets.

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“…Expansion for the hrf function. Using (5), (8) and (10), an expansion of the hrf function is given by…”

Section: Expansion For the Associated Functionsmentioning

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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Transmuted generalized exponential distribution: A generalization of the exponential distribution with applications to survival data

Cited by 41 publications

References 17 publications

Characterizations and Infinite Divisibility of Certain Recently Introduced Distributions IV

Characterizations and Infinite Divisibility of Certain Recently Introduced Distributions IV

A new three-parameter exponential distribution with applications in reliability and engineering

A weighted transmuted exponential distributions with environmental applications

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