Multivariate Extended Gamma Distribution

Joseph, Dhannya P.

doi:10.3390/axioms6020011

Cited by 2 publications

(3 citation statements)

References 11 publications

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“…Yet, special care is needed when correlations exist between these random inputs. Further research is required to extend the method to multivariate Gamma [43] and Amoroso distributions [44], [45].…”

Section: Discussionmentioning

confidence: 99%

Generalized Gamma-Laguerre Polynomial Chaos to Model Random Bending of Wearable Antennas

Rogier

2022

Antennas Wirel. Propag. Lett.

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A novel generalized Gamma-Laguerre polynomial chaos expansion is proposed to account for the effect of random variations in lower-bounded design parameters on antenna performance. After fitting a shifted generalized Gamma distribution to data sets of such random variables, a predistorted polynomial chaos expansion is generated based on a set of orthogonal generalized Laguerre polynomials. The new statistical methodology is applied to assess the random change in resonance frequency when bending a wearable antenna around different parts of the human body, such as a leg, an arm and a head. For different data sets, an excellent statistical fit is found to both the estimated probability density function of the bending radius and the resulting statistical distribution of the resonance frequency, while requiring up to 480 times fewer sample evaluations.

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Section: Discussionmentioning

confidence: 99%

Generalized Gamma-Laguerre Polynomial Chaos to Model Random Bending of Wearable Antennas

Rogier

2022

Antennas Wirel. Propag. Lett.

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“…We summarize these observations in the following two propositions. The first is about Mathai distribution [19] and the second is about the Pareto-Mathai law. Proposition 3.…”

Section: Properties Of Pareto-mathai Distributionmentioning

confidence: 99%

“…The Pareto-Mathai distribution can be generalized to the multivariate case, just as Mathai's model was generalized by Joseph [19]:…”

Section: Multivariate Pareto-mathai Distributionmentioning

confidence: 99%

Statistical Modeling of the Seismic Moments via Mathai Distribution

Vega-Jorquera

Barra

Torres

et al. 2022

Entropy

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Mathai’s pathway model is playing an increasingly prominent role in statistical distributions. As a generalization of a great variety of distributions, the pathway model allows the studying of several non-linear dynamics of complex systems. Here, we construct a model, called the Pareto–Mathai distribution, using the fact that the earthquakes’ magnitudes of full catalogues are well-modeled by a Mathai distribution. The Pareto–Mathai distribution is used to study artificially induced microseisms in the mining industry. The fitting of a distribution for entire range of magnitudes allow us to calculate the completeness magnitude (Mc). Mathematical properties of the new distribution are studied. In addition, applying this model to data recorded at a Chilean mine, the magnitude Mc is estimated for several mine sectors and also the entire mine.

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Multivariate Extended Gamma Distribution

Cited by 2 publications

References 11 publications

Generalized Gamma-Laguerre Polynomial Chaos to Model Random Bending of Wearable Antennas

Generalized Gamma-Laguerre Polynomial Chaos to Model Random Bending of Wearable Antennas

Statistical Modeling of the Seismic Moments via Mathai Distribution

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