Transmuted Janardan Distribution: A Generalization of the Janardan Distribution

Al-Omari, Amer Ibrahim; Al-khazaleh, Ahmed M. H.; Alzoubi, Loai

doi:10.18576/jsap/060202

Cited by 7 publications

(7 citation statements)

References 5 publications

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“…The TJ distribution of Al-Omari et al (2017) is similar to the Maxwell Length Biased (MLB) distribution of Saghir et al (2016) whose cd f is F (x; α, θ)…”

Section: ) the CD F Of Moeiw Is Given Bymentioning

confidence: 84%

Characterizations and Infinite Divisibility of Certain Recently Introduced Distributions IV

Hamedani¹

2018

IJSP

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“…The TJ distribution of Al-Omari et al (2017) is similar to the Maxwell Length Biased (MLB) distribution of Saghir et al (2016) whose cd f is F (x; α, θ)…”

Section: ) the CD F Of Moeiw Is Given Bymentioning

confidence: 84%

Characterizations and Infinite Divisibility of Certain Recently Introduced Distributions IV

Hamedani¹

2018

IJSP

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“…Therefore, by plugging (16) in (15), the pd f of the j th order statistics, f T ID( j) (x), can be written as…”

Section: Order Statisticsmentioning

confidence: 99%

“…A transmuted Lomax distribution is introduced by Ashour and Eltehiwy (2013). In addition to the aforementioned work, transmutation have been used to generalize several more distributions such as the transmuted Lindley-Geometric distribution (Merovci and Elbatal, 2014), transmuted exponentiated Fréchet distribution , transmuted new modified weibull distribution (Vardhan and Balaswamy, 2016), transmuted Burr Type XII distribution (Khazaleh, 2016), transmuted Weibull Fréchet distribution (Afify et al, 2016), transmuted Mukherjee-Islam distribution (Al-zou ′ bi, 2017), and transmuted Janardan distribution (Al-Omari et al, 2017). We use the quadratic rank transmutation map to introduce a new distribution namely, Transmuted Ishita Distribution (TID).…”

Section: Introductionmentioning

confidence: 99%

Untitled

2019

J. Stat. Appl. Pro.

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In this paper, we use quadratic rank transmutation map to propose a new distribution called Transmuted Ishita Distribution (TID). The proposed distribution is a generalization of Ishita distribution. Many properties of this distribution are investigated such as: the reliability, hazard rate and cumulative hazard functions, rth moment, moment-generating function, order statistics, generalized entropy, quantile function. The maximum likelihood method is used to estimate the unknown parameters of the TID. The proposed distribution is used for modeling a real-life data set. It is found that the TID is a better fit for this data set than some other available distributions.

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“…In this paper, a new mixed Poisson distribution is obtained by mixing the Poisson distribution and the transmuted Janardan (TJ) distribution. The TJ distribution was proposed by [13], which is a continuous distribution. It has various structural properties that are the explicit expressions for the reliability and hazard rate functions, order statistics, the moments and the moment the generating function.…”

Section: Introductionmentioning

confidence: 99%

The Poisson-Transmuted Janardan Distribution for Modelling Count Data

Bodhisuwan

Aryuyuen

2022

Trends Sci

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In this paper, we introduce a new mixed Poisson distribution, called the Poisson-transmuted Janardan distribution. The Poisson-Janardan and Poisson-Lindley distributions are sub-model of the proposed distribution. Some mathematical properties of the proposed distribution, including the moments, moment generating function, probability generating function and generation of a Poisson-transmuted Janardan random variable, are presented. The parameter estimation is discussed based on the method of moments and the maximum likelihood estimation. In addition, we illustrated the application of the proposed distribution by fitting with 4 real data sets and comparing it with some other distributions based on the Kolmogorov-Smirnov test for criteria.

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Transmuted Janardan Distribution: A Generalization of the Janardan Distribution

Cited by 7 publications

References 5 publications

Characterizations and Infinite Divisibility of Certain Recently Introduced Distributions IV

Characterizations and Infinite Divisibility of Certain Recently Introduced Distributions IV

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The Poisson-Transmuted Janardan Distribution for Modelling Count Data

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