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Optimal Portfolio Selection Based on Expected Shortfall Under Generalized Hyperbolic Distribution

Asia-Pacific Financial Markets, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Surya, Budhi Arta, Kurniawan, Ryan
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Infinite divisibility of the hyperbolic and generalized inverse Gaussian distributions

Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1977
(~'/z)~/2 x~-le --~':~-~+~ (x>0) , (1) 2 K ~ ( ] / ~ ) has the property of infinite divisibility. It follows simply from this that any mixture of the r-dimensional normal distributions Nr(~, X) determined by setting ~ = # + ~ 2 f i A and X=a2A (2) and letting o -2 follow the distribution (1) is infinitely divisible; here #, fl and A are new parameters,
Barndorff-Nielsen, O.   +1 more
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THE GENERALIZED SECANT HYPERBOLIC DISTRIBUTION AND ITS PROPERTIES

Communications in Statistics - Theory and Methods, 2002
The properties of a family of distributions generalizing the secant hyperbolic are developed. This family consists of symmetric distributions, with kurtosis ranging from 1.8 to infinity, and includes the logistic as a special case, the uniform as a limiting case, and closely approximates the normal and Student's t-distributions with corresponding ...
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Generalized Hyperbolic Laws as Limit Distributions for Random Sums

Theory of Probability & Its Applications, 2014
A general theorem is proved stating necessary and sufficient conditions for the convergence of the distributions of sums of a random number of independent identically distributed random variables to one-parameter variance-mean mixtures of normal laws. As a corollary, necessary and sufficient conditions for convergence of the distributions of sums of a ...
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A Review of Generalized Hyperbolic Distributions

Computational Economics, 2023
Xiao Jiang   +2 more
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Generalized Hyperbolic Distributions: Empirical Evidence on Bucharest Stock Exchange [PDF]

open access: possibleThe Review of Finance and Banking, 2015
Onfive of the most liquid and important equities of the Romanian stock market together with the market index is investigated the fit of the generalized hyperbolic distributions. The parameters of the hyperbolic distribution, Variance- Gamma, Normal Inverse Gaussian, skewed t Student and generalized hyperbolic are estimated using the maximum likelihood ...
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Portfolio optimization under multivariate affine generalized hyperbolic distributions

International Review of Economics & Finance, 2022
Chou-Wen Wang   +3 more
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Tail Behaviour and Tail Dependence of Generalized Hyperbolic Distributions

2016
Generalized hyperbolic distributions have been well established in finance during the last two decades. However, their application, in particular the computation of distribution functions and quantiles, is numerically demanding. Moreover, they are, in general, not stable under convolution which makes the computation of quantiles in factor models driven
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