9.6.2 SUBFAMILIES OF THE GENERALIZED HYPERBOLIC SEVERITY MODELS
As noted by Barndorff-Nielsen and Stelzer (2005), the GH family of models contains several well-known subclasses of parametric severity models given by different values of v such as in the following cases:
v = 1 one obtains the subfamily of hyperbolic distributions (see Example 9.6);
v = one obtains the subfamily of NIG distributions;
Other distributional subfamilies include Gaussian, Exponential, Laplace, Variance-Gamma and Student-t.
One of the representations of the GH family ...
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