A New Generalization of the Maxwell Distribution

Venegas, Osvaldo; Iriarte, Yuri A.; Astorga, Juan M.; Borger, Alexander; Bolfarine, Heleno; Gómez, Héctor W.

doi:10.18576/amis/110327

Cited by 3 publications

(6 citation statements)

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“…The cdf of the three-parameter transmuted exponentiated Maxwell (TEMax) distribution [8] is given by…”

Section: Applicationsmentioning

confidence: 99%

“…However, in the application, the analyses are performed considering the compositions separately. Here, we propose a joint analysis by considering a regression model with three systematic components given by (8).…”

Section: Application 3: Brittle Materialsmentioning

confidence: 99%

“…In Figure 10a, we display the Kaplan-Meier empirical curves and estimated survival functions defined from (8). Note that glass is the weakest material with least resistance.…”

Section: Model Checkingmentioning

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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“…The cdf of the three-parameter transmuted exponentiated Maxwell (TEMax) distribution [8] is given by…”

Section: Applicationsmentioning

confidence: 99%

Section: Application 3: Brittle Materialsmentioning

confidence: 99%

“…In Figure 10a, we display the Kaplan-Meier empirical curves and estimated survival functions defined from (8). Note that glass is the weakest material with least resistance.…”

Section: Model Checkingmentioning

confidence: 99%

mentioning

confidence: 99%

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A New Bimodal Maxwell Regression Model With Engineering Applications

2020

Appl. Math. Inf. Sci.

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“…For this reason, some extensions were developed by applying diverse notorious schemes. We may refer to those presented in [9][10][11][12]. In particular, Modi [11] and Saghir [12] proposed to extend the M distribution through the use of the length-biased scheme, introducing the length-biased Maxwell (LBM) distribution with parameter α > 0.…”

Section: Introductionmentioning

confidence: 99%

Marshall–Olkin Length-Biased Maxwell Distribution and Its Applications

Mathew¹,

Chesneau

2020

MCA

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It is well established that classical one-parameter distributions lack the flexibility to model the characteristics of a complex random phenomenon. This fact motivates clever generalizations of these distributions by applying various mathematical schemes. In this paper, we contribute in extending the one-parameter length-biased Maxwell distribution through the famous Marshall–Olkin scheme. We thus introduce a new two-parameter lifetime distribution called the Marshall–Olkin length-biased Maxwell distribution. We emphasize the pliancy of the main functions, strong stochastic order results and versatile moments measures, including the mean, variance, skewness and kurtosis, offering more possibilities compared to the parental length-biased Maxwell distribution. The statistical characteristics of the new model are discussed on the basis of the maximum likelihood estimation method. Applications to simulated and practical data sets are presented. In particular, for five referenced data sets, we show that the proposed model outperforms five other comparable models, also well known for their fitting skills.

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Inverse Power Generalized Maxwell Distribution with Applications in Industry

Alsahangiti

Gemeay

Sapkota

et al. 2023

Preprint

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Employing the inverse power transformation technique, we have proposed a new continuous three-parameter probability distribution and named it inverse power generalized Maxwell distribution. This distribution is the generalized version of the generalized Maxwell distribution. For this model, we have derived some functions related to survival analysis. Several statistical properties of the model are provided. This study also focused on the estimation of the unknown model parameters. Six different parameter estimation methods are employed and studied extensively through numerical simulation. To investigate the applications of the suggested model, two real engineering data sets are considered and empirically found that the suggested model can provide a superior fit as compared to some candidate models under study.\\ \\ \textbf{Keywords:} Generalize Maxwell distribution, Moments, Estimation, Inverse power, Entropy.

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A New Generalization of the Maxwell Distribution

Cited by 3 publications

References 0 publications

A New Bimodal Maxwell Regression Model With Engineering Applications

A New Bimodal Maxwell Regression Model With Engineering Applications

Marshall–Olkin Length-Biased Maxwell Distribution and Its Applications

Inverse Power Generalized Maxwell Distribution with Applications in Industry

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