Statistical analysis of the distribution of phreatic eruption products in the caldera of the Golovnin volcano (Kunashir Island, Kuril Islands) [PDF]
The paper presents the results of statistical processing of data on the thickness and size of the tephra fragments of andesidacite composition erupted as a result of a phreatic explosion in the caldera of Golovnin volcano about 1000 years ago.
Artem I. Kazakov +2 more
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An application of exponential dispersion models in premium rating. [PDF]
AbstractA practical method of allowing for covariates in compound Poisson modelling distributions is discussed.
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A Convergence Theorem for Bivariate Exponential Dispersion Models [PDF]
Multivariate exponential dispersion models (MEDMs) were defined in 2013 by Jorgensen and Martinez. A particular case of MEDM is the bivariate Gamma model; in this article we prove that, under certain conditions, this is a limit distribution for MEDM generated by bivariate regularly varying measures, extending a previous result given by the ...
Lila Ricci, Gabriela Boggio
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Spatial Tweedie exponential dispersion models
This paper proposes a general modeling framework that allows for uncertainty quantification at the individual covariate level and spatial referencing, operating withing a double generalized linear model (DGLM). DGLMs provide a general modeling framework allowing dispersion to depend in a link-linear fashion on chosen covariates.
Halder, Aritra +3 more
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Evaluation of Tweedie exponential dispersion model densities by Fourier inversion [PDF]
The Tweedie family of distributions is a family of exponential dispersion models with power variance functions V(μ)=μ p for $p\not\in(0,1)$ . These distributions do not generally have density functions that can be written in closed form. However, they have simple moment generating functions, so the densities can be evaluated numerically by Fourier ...
Peter K. Dunn, Gordon K. Smyth
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Employing observed turbulent dissipation rates to obtain fundamental equations that parameterize turbulence effects in atmospheric models [PDF]
Taylor diffusion model and forms for the autocorrelation functions are employed to derive turbulent dissipation rates. These formulations contain a numerical coefficient nc and are written in terms of turbulent scales associated with the energy ...
Gervásio Annes Degrazia +5 more
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Analysis of fractal fractional differential equations
Nonlocal differential and integral operators with fractional order and fractal dimension have been recently introduced and appear to be powerful mathematical tools to model complex real world problems that could not be modeled with classical and nonlocal
Abdon Atangana +2 more
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This paper investigates the evolution dynamics of closed-form solutions for a new integrable nonlinear fifth-order equation with spatial and temporal dispersion which describes shallow water waves moving in two directions.
Sachin Kumar +3 more
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FDTD Modeling for Dispersive Media Using Matrix Exponential Method [PDF]
This letter presents a finite-difference time-domain formulation to model electromagnetic wave propagation in dispersive media using matrix exponential method. The Maxwell's curl equations and the time domain relations between electric fields and auxiliary variables are formulated as a first order differential matrix system. The fundamental solution to
Heh, Ding Yu, Tan, Eng Leong
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Non-informative Bayesian dispersion particle filter
In this research paper, we attempt to introduce a new algorithm for filtering a state-space model. The observations of this algorithm follow an exponential dispersion model.
Ibrahim Sadok
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