Odds Generalized Exponential – Exponential Distribution

Maiti, Sudhansu S.; Pramanik, Sukanta

doi:10.6339/jds.201510_13(4).0006

Cited by 11 publications

(4 citation statements)

References 15 publications

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“…Barreto-Souza et al [2] have defined a new distribution using generalized exponential distribution called the beta generalized exponential distribution. Similarly, Maiti and Pramanik [16] have presented the odds generalized exponential-exponential distribution. Marshall-Olkin generalized exponential distribution was developed by Ristic and Kundu [23].…”

Section: Introductionmentioning

confidence: 99%

Half-Cauchy Generalized Exponential Distribution: Theory and Application

2022

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Half-Cauchy generalized exponential (HCGE) distribution is a novel distribution that we have proposed on in this paper. The quantiles, the measures of skewness based on quartiles, and the measures of kurtosis based on octiles, survival function, the probability density function, hazard function, cumulative distribution function, cumulative hazard function, are just a few of the crucial statistical properties we have derived for the proposed distribution. To estimate the parameters of the half-Cauchy generalized exponential distribution, the maximum likelihood estimation method has been applied. For the evaluation of the new distribution’s potential, we have considered a real dataset and compared the goodness-of-fit attained by proposed distribution with some competing distribution. The suggested model fits the data much better and is more adaptable than some other models.

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Section: Introductionmentioning

confidence: 99%

Half-Cauchy Generalized Exponential Distribution: Theory and Application

2022

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“…Application to Engineering and COVID-19 data the literature we can observe that many authors have created new distribution using this GED distribution such as beta generalized exponential distribution (Barreto-Souza et al, 2010), exponential extension distribution (Kumar, 2010), Nadarajah and Haghighi (2011) has introduced an extension of the exponential distribution, exponentiated NH distribution (Lemonte, 2013), generalized inverted exponential (Singh et al, 2013), odds generalized exponential-exponential distribution (Maiti and Pramanik, 2015), Weibull generalized exponential distribution (Mustafa et al, 2016) has introduced by computing extended exponential distribution (Gómez et al, 2014) and GED. A 4-parameter modified exponential distribution was introduced (Rasekhi et…”

Section: Introductionmentioning

confidence: 99%

Odd Lomax Generalized Exponential Distribution: Application to Engineering and COVID-19 data

Sapkota¹,

Kumar

2022

Pak.j.stat.oper.res.

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This paper proposes the 4-parameter odd Lomax generalized exponential distribution for the study of engineering and COVID-19 data. The statistical and mathematical properties of this distribution such as a linear representation of the probability density function, survival function, hazard rate function, moments, quantile function, order statistics, entropy, mean deviation, characteristic function, and average residual life function are established. The estimates of parameters of the proposed distribution are obtained using maximum likelihood estimation (MLE), Maximum product spacings (MPS), least-square estimation (LSE), and Cramer-Von-Mises estimation (CVME) methods. A Monte-Carlo simulation experiment is carried out to study the MLEs. The applicability of the proposed distribution is evaluated using two real datasets related to engineering and COVID-19. All the computational work was performed in R programming software.

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“…Due to these reasons, different authors have developed different extensions of the exponential distribution and a list of some of these distributions include the following: [13] proposed the odd Lindley inverse exponential distribution, [14] also introduced and studied the Exponential Inverse Exponential distribution, the Kumaraswamy Inverse Exponential distribution was also developed by [15], in a similar way [16] defined and studied the exponentiated generalized Inverse Exponential distribution, a new Lindley-Exponential distribution was proposed and studied by [17], a Lomaxexponential distribution was also developed by [18], a transmuted odd generalized exponentialexponential distribution was studied by [19], [20] derived the transmuted exponential distribution, [21] proposed and studied a transmuted inverse exponential distribution, the odd generalized exponential-exponential distribution was also studied by [22], a transmuted Weibullexponential distribution was considered and studied by [23] and the Weibull-exponential distribution was proposed by [24].…”

Section: Introductionmentioning

confidence: 99%

An Exponentiated Odd Lindley Inverse Exponential Distribution and its Application to Infant Mortality and HIV Transmission Rates in Nigeria

Eraikhuemen

Onwuka

Yakura³

et al. 2021

I-SRR

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Recently, researchers have shown much interest in developing new continuous probability distributions by adding one or two parameter(s) to the some existing baseline distributions. This act has been beneficial to the field of statistical theory especially in modeling of real life situations. Also, the exponentiated family as used in developing new distributions is an efficient method proposed and studied for defining more flexible continuous probability distributions for modeling real life data. In this study, the method of exponentiation has been used to develop a new distribution called “Exponentiated odd Lindley inverse exponential distribution”. Some properties of the proposed distribution and estimation of its unknown parameters has been done using the method of maximum likelihood estimation and its application to real life datasets. The new model has been applied to infant mortality rate and mother-to-child HIV transmission rate. The results of these two applications reveal that the proposed model is a better model compared to the other fitted existing models by some selection information criteria.

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Odds Generalized Exponential – Exponential Distribution

Cited by 11 publications

References 15 publications

Half-Cauchy Generalized Exponential Distribution: Theory and Application

Half-Cauchy Generalized Exponential Distribution: Theory and Application

Odd Lomax Generalized Exponential Distribution: Application to Engineering and COVID-19 data

An Exponentiated Odd Lindley Inverse Exponential Distribution and its Application to Infant Mortality and HIV Transmission Rates in Nigeria

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