A new lifetime distribution: transmuted exponential power distribution

Saraçoğlu, Buğra; Tanış, Caner

doi:10.31801/cfsuasmas.528306

Cited by 6 publications

(1 citation statement)

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“…Several generalizations of the EP distributions have been proposed. For instance, [3] introduced the transmuted-EP (TEP) distribution with applications on the holes operation on jobs made of iron sheet and breaking stress data sets. [4] introduced the generalization of the complementary EP distribution and compared it with other transmuted generalized distributions.…”

Section: Introductionmentioning

confidence: 99%

The Log Exponential-Power Distribution: Properties, Estimations and Quantile Regression Model

et al. 2021

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Recently, bounded distributions have attracted attention. These distributions are frequently used in modeling rate and proportion data sets. In this study, a new alternative model is proposed for modeling bounded data sets. Parameter estimations of the proposed distribution are obtained via maximum likelihood method. In addition, a new regression model is defined under the proposed distribution and its residual analysis is examined. As a result of the empirical studies on real data sets, it is observed that the proposed regression model gives better results than the unit-Weibull and Kumaraswamy regression models.

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Section: Introductionmentioning

confidence: 99%

The Log Exponential-Power Distribution: Properties, Estimations and Quantile Regression Model

et al. 2021

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Transmuted lower record type inverse rayleigh distribution: estimation, characterizations and applications

Tanış

2022

Ricerche mat

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This study introduces a new lifetime distribution called the transmuted lower record type inverse Rayleigh which extends the inverse Rayleigh distribution and has the potential to model the recovery times of Covid-19 patients.The new distribution is obtained using the distributions of the first two lower record statistics of the inverse Rayleigh distribution. We discuss some statistical inferences and mathematical properties of the suggested distribution. We examine some characteristics of the proposed distribution such as density shape, hazard function,moments, moment generating function, incomplete moments,Rényi entropy, order statistics, stochastic ordering. We consider five estimation methods such as maximum likelihood, least squares, weighted least squares, Anderson-Darling, Cramér-von Mises for the point estimation of the proposed distribution. Then, a comprehensive Monte Carlo simulation study is carried out to assess the risk behavior of the examined estimators. We provide two real data applications to illustrate the fitting ability of the proposed model, and compare its fit with competitor ones. Unlike many previously proposed distributions, the introduced distribution in this paper has modeled the recovery times of Covid-19 patients.

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Transmuted inverse unit Teissier distribution: Properties, estimations and applications to medical and radiation sciences

Bashiru,

Kayid,

Sayed

et al. 2025

Journal of Radiation Research and Applied Sciences

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A new lifetime distribution: transmuted exponential power distribution

Cited by 6 publications

References 24 publications

The Log Exponential-Power Distribution: Properties, Estimations and Quantile Regression Model

The Log Exponential-Power Distribution: Properties, Estimations and Quantile Regression Model

Transmuted lower record type inverse rayleigh distribution: estimation, characterizations and applications

Transmuted inverse unit Teissier distribution: Properties, estimations and applications to medical and radiation sciences

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