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Title:A tail quantile approximation formula for the student t and the symmetric generalized hyperbolic distribution PDF Logo
Authors:Schlüter, Stephan
Fischer, Matthias J.
Issue Date:2009
Series/Report no.:IWQW discussion paper series 05/2009
Abstract:Calculating a large number of tail probabilities or tail quantiles for a given distribution families becomes very challenging, if both the cumulative and the inverse distribution function are not available in closed form. In case of the Gaussian and Student t distribution, quantile approximations are already available. This is not the case for the (symmetric) generalized hyperbolic distribution (GHD) whose popularity steadily increases and which includes both Gaussian and Student t as limiting case. Within this paper we close this gap and derive one possible tail approximation formula for the GHD as well as for the Student t distribution.
Subjects:Generalized hyperbolic distribution
Quantile approximation
Student t distribution
Document Type:Working Paper
Appears in Collections:IWQW Discussion Paper Series, FAU Erlangen-Nürnberg

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