A mixture of generalized hyperbolic distributions [PDF]
AbstractWe introduce a mixture of generalized hyperbolic distributions as an alternative to the ubiquitous mixture of Gaussian distributions as well as their near relatives within which the mixture of multivariatet‐distributions and the mixture of skew‐tdistributions predominate.
Browne, Ryan P., McNicholas, Paul D.
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A Mixture of Coalesced Generalized Hyperbolic Distributions [PDF]
A mixture of multiple scaled generalized hyperbolic distributions (MMSGHDs) is introduced. Then, a coalesced generalized hyperbolic distribution (CGHD) is developed by joining a generalized hyperbolic distribution with a multiple scaled generalized hyperbolic distribution.
Cristina Tortora +3 more
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Moments of the generalized hyperbolic distribution [PDF]
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Scott, David J +3 more
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Modeling Insurance Claims Distribution through Combining Generalized Hyperbolic Skew-t Distribution with Extreme Value Theory [PDF]
This paper examines whether combining Generalized Hyperbolic Skew-t distribution, recently introduced in the field of insurance, and Extreme Value Theory (EVT) could result in a modeling of loss function that could model central value as well as extreme ...
Saeed Bajalan +2 more
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Coefficient Bounds for a Family of Analytic Functions Linked with a Petal-Shaped Domain and Applications to Borel Distribution [PDF]
In this paper, by employing sine hyperbolic inverse functions, we introduced the generalized subfamily $\mathcal{RK}_{\sinh}(\beta)$ of analytic functions defined on the open unit disk $\Delta:=\{\xi: \xi \in \mathbb{C} \text{ and } |\xi|
Trailokya Panigrahi +2 more
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Inference in Multiple Linear Regression Model with Generalized Secant Hyperbolic Distribution Errors
We study multiple linear regression model under non-normally distributed random error by considering the family of generalized secant hyperbolic distributions.
Álvaro Alexander Burbano Moreno +2 more
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Mastering the Body and Tail Shape of a Distribution
The normal distribution and its perturbation have left an immense mark on the statistical literature. Several generalized forms exist to model different skewness, kurtosis, and body shapes.
Matthias Wagener +2 more
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Nonparametric Risk Management with Generalized Hyperbolic Distributions [PDF]
In this paper we propose the GHADA risk management model that is based on the generalized hyperbolic (GH) distribution and on a nonparametric adaptive methodology. Compared to the normal distribution, the GH distribution possesses semi-heavy tails and represents the financial risk factors more appropriately.
Chen, Ying +2 more
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The MixGHD package for R performs model-based clustering, classification, and discriminant analysis using the generalized hyperbolic distribution (GHD).
Cristina Tortora +4 more
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Hyperbolic Cosine–Exponentiated Exponential Lifetime Distribution and its Application in Reliability [PDF]
Recently, Kharazmi and Saadatinik (2016) introduced a new family of lifetime distributions called hyperbolic cosine – F (HCF) distribution. In the present paper, it is focused on a special case of HCF family with exponentiated exponential distribution as
Omid Kharazmi
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