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The Exponential Dispersion Model Generated by the Landau Distribution—A Comprehensive Review and Further Developments

open access: yesMathematics, 2023
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
doaj   +3 more sources

A novel two-parameter discrete exponentiated exponential distribution with its neutrosophic extension: mathematical characterization and real-world count data modeling [PDF]

open access: yesFrontiers in Big Data
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.
doaj   +2 more sources

The Large Arcsine Exponential Dispersion Model—Properties and Applications to Count Data and Insurance Risk

open access: yesMathematics, 2022
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
doaj   +3 more sources

Reliability evaluation of PV modules based on exponential dispersion process

open access: yesEnergy Reports, 2021
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
doaj   +3 more sources

Exponential Dispersion Models

open access: yesJournal of the Royal Statistical Society Series B: Statistical Methodology, 1987
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

Generalized Linear Model (GLM) Applications for the Exponential Dispersion Model Generated by the Landau Distribution

open access: yesMathematics
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
doaj   +3 more sources

Linear stability and dispersive soliton propagation in nonlinear media subject to parabolic phase modulation [PDF]

open access: yesScientific Reports
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
doaj   +2 more sources

An Expectation-Maximization Algorithm for the Exponential-Generalized Inverse Gaussian Regression Model with Varying Dispersion and Shape for Modelling the Aggregate Claim Amount

open access: yesRisks, 2021
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
doaj   +3 more sources

Exponential dispersion models for overdispersed zero-inflated count data [PDF]

open access: yesCommunications in Statistics - Simulation and Computation, 2021
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
openaire   +2 more sources

Spreading of Lagrangian Particles in the Black Sea: A Comparison between Drifters and a High-Resolution Ocean Model

open access: yesRemote Sensing, 2021
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
doaj   +1 more source

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