Gamma-Maxwell distribution

Iriarte, Yuri A.; Astorga, Juan M.; Bolfarine, Heleno; Gómez, Héctor W.

doi:10.1080/03610926.2015.1081946

Cited by 9 publications

(3 citation statements)

References 8 publications

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“…In addition, we analyze the data sets using non-nested alternative models. We consider the cdf of the gamma-Maxwell (GMax) distribution [7] given by…”

Section: Applicationsmentioning

confidence: 99%

“…Recently, the Maxwell distribution has been used to model failure times in survival and reliability analysis and some of its extended forms have been investigated. Krishna and Malik [3] addressed reliability estimation in the Maxwell distribution with progressively type-II censored data, [4] explored a heterogeneous population by means of two mixture components of Maxwell distributions, [5] considered point and interval estimation procedures for the Maxwell distribution in the presence of type-I progressively hybrid censored data, [6] presented its structural properties and different methods of estimation, [7] defined the gamma-Maxwell distribution, and more recently [8] proposed the transmuted exponentiated Maxwell distribution. However, none of these papers deal with bimodality as real data and do not even present regression models for the extensions of the Maxwell distribution.…”

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confidence: 99%

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A New Bimodal Maxwell Regression Model With Engineering Applications

2020

Appl. Math. Inf. Sci.

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We define the generalized odd log-logistic Maxwell distribution and propose a parametric regression model based on the new distribution with three systematic components for its parameters. Some properties and maximum likelihood estimation are addressed and various simulations for different parameter settings, systematic components and sample sizes are performed. Three applications to real data sets in engineering (strength and mechanics of materials) empirically prove the usefulness of the proposed models.

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“…In addition, we analyze the data sets using non-nested alternative models. We consider the cdf of the gamma-Maxwell (GMax) distribution [7] given by…”

Section: Applicationsmentioning

confidence: 99%

mentioning

confidence: 99%

A New Bimodal Maxwell Regression Model With Engineering Applications

2020

Appl. Math. Inf. Sci.

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“…Some recent extensions of the MB distribution are discussed, for example, in Sharma et al [4], Vivekanand et al [5], Iriarte et al [6], Dey et al [7], Sharma et al [8] and Segovia et al [9]. Product distributions or independent random variable quotients are of great interest; for example, Shakil et al [10] studied the XY and X/Y distribution, where X and Y are independent random variables that have MB and Rayleigh distributions respectively.…”

Section: Introductionmentioning

confidence: 99%

Scale Mixture of Maxwell-Boltzmann Distribution

Castillo

Gaete²,

Muñoz³

et al. 2023

Mathematics

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This paper presents a new distribution, the product of the mixture between Maxwell-Boltzmann and a particular case of the generalized gamma distributions. The resulting distribution, called the Scale Mixture Maxwell-Boltzmann, presents greater kurtosis than the recently introduced slash Maxwell-Boltzmann distribution. We obtained closed-form expressions for its probability density and cumulative distribution functions. We studied some of its properties and moments, as well as its skewness and kurtosis coefficients. Parameters were estimated by the moments and maximum likelihood methods, via the Expectation-Maximization algorithm for the latter case. A simulation study was performed to illustrate the parameter recovery. The results of an application to a real data set indicate that the new model performs very well in the presence of outliers compared with other alternatives in the literature.

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