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The paper comprehensively studies the natural exponential family and its associated exponential dispersion model generated by the Landau distribution. These families exhibit probabilistic and statistical properties and are suitable for modeling skewed ...
Shaul K. Bar-Lev
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A novel two-parameter discrete exponentiated exponential distribution with its neutrosophic extension: mathematical characterization and real-world count data modeling [PDF]
This paper proposes and studies the Discrete Exponentiated Exponential (DEE) distribution, a new two-parameter discrete lifetime model obtained by applying the survival discretization technique to the exponentiated exponential distribution.
Furqan Ahmed P., Sujatha V.
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The large arcsine exponential dispersion model (LAEDM) is a class of three-parameter distributions on the non-negative integers. These distributions show the specific characteristics of being leptokurtic, zero-inflated, overdispersed, and skewed to the ...
Shaul K. Bar-Lev, Ad Ridder
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Reliability evaluation of PV modules based on exponential dispersion process
The performance of photovoltaic (PV) modules gradually declines as the operational time continues due to the impacts of workload and environmental factors. This performance degradation process is dynamic and random.
Weian Yan, Weidong Liu, Wenqi Kong
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SUMMARY We study general properties of the class of exponential dispersion models, which is the multivariate generalization of the error distribution of Nelder and Wedderburn’s (1972) generalized linear models. Since any given moment generating function generates an exponential dispersion model, there exists a multitude of exponential ...
exaly +3 more sources
The exponential dispersion model (EDM) generated by the Landau distribution, denoted by EDM-EVF (exponential variance function), belongs to the Tweedie scale with power infinity. Its density function does not have an explicit form and, as of yet, has not
Shaul K. Bar-Lev +3 more
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Linear stability and dispersive soliton propagation in nonlinear media subject to parabolic phase modulation [PDF]
This work investigates dispersive optical solitons governed by a perturbed cubic–quartic nonlinear Schrödinger equation with parabolic self-phase modulation, a model of direct relevance to high-capacity fiber-optic systems where simultaneous higher-order
M. Morgan +3 more
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This article presents the Exponential–Generalized Inverse Gaussian regression model with varying dispersion and shape. The EGIG is a general distribution family which, under the adopted modelling framework, can provide the appropriate level of ...
George Tzougas, Himchan Jeong
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Exponential dispersion models for overdispersed zero-inflated count data [PDF]
We consider three new classes of exponential dispersion models of discrete probability distributions which are defined by specifying their variance functions in their mean value parameterization. In a previous paper (Bar-Lev and Ridder, 2020a), we have developed the framework of these classes and proved that they have some desirable properties. Each of
Shaul K. Bar-Lev, Ad Ridder
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The Lagrangian dispersion statistics of the Black Sea are estimated using satellite-tracked drifters, satellite altimeter data and a high-resolution ocean model. Comparison between the in-situ measurements and the model reveals good agreement in terms of
Maher Bouzaiene +4 more
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