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Heavy-Tailed Fluctuations in the Spiking Output Intensity of Semiconductor Lasers with Optical Feedback. [PDF]
Although heavy-tailed fluctuations are ubiquitous in complex systems, a good understanding of the mechanisms that generate them is still lacking. Optical complex systems are ideal candidates for investigating heavy-tailed fluctuations, as they allow ...
Boon Leong Lan, Cristina Masoller
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Feller-Pareto and Related Distributions: Numerical Implementation and Actuarial Applications
Actuaries model insurance claim amounts using heavy tailed probability distributions. They routinely need to evaluate quantities related to these distributions such as quantiles in the far right tail, moments or limited moments.
Christophe Dutang +2 more
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A New Class of Heavy-Tailed Distributions: Modeling and Simulating Actuarial Measures
Statistical distributions play a prominent role for modeling data in applied fields, particularly in actuarial, financial sciences, and risk management fields.
Jin Zhao +4 more
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Estimation of heavy tails in optical non-linear processes
In optical non-linear processes, rogue waves can be observed, which can be mathematically described by heavy-tailed distributions. These distributions are special since the probability of registering extremely high intensities is significantly higher ...
Éva Rácz +2 more
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In the paper, we begin with introducing a novel scale mixture of normal distribution such that its leptokurticity and fat-tailedness are only local, with this “locality” being separately controlled by two censoring parameters.
Łukasz Lenart +2 more
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Behavior of Goal Programming with Heavy Tailed Distribution
Goal programming (GP) is an extension of linear programming (LP). The GP is an important technique for decision makers. Goal programming technique has a useful advantage in minimize the unwanted deviations between the achievement of goals and their ...
Lobna AL-Tyeb
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A New Family of Modified Slash Distributions with Applications
This article presents a new family of symmetric heavy-tailed distributions. This model is based on the ratio of two independent random variables; one with a normal distribution in the numerator and another with a Birnbaum–Saunders distribution in the ...
Jimmy Reyes, Yuri A. Iriarte
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Background The distribution of residual effects in linear mixed models in animal breeding applications is typically assumed normal, which makes inferences vulnerable to outlier observations.
Garrick Dorian J +4 more
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Fitting Heavy Tailed Distributions: The poweRlaw Package
Over the last few years, the power law distribution has been used as the data generating mechanism in many disparate fields. However, at times the techniques used to fit the power law distribution have been inappropriate.
Colin S. Gillespie
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The Arcsine Exponentiated-X Family: Validation and Insurance Application
In this paper, we propose a family of heavy tailed distributions, by incorporating a trigonometric function called the arcsine exponentiated-X family of distributions.
Wenjing He +3 more
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