These objects store different parameter sets of the generalized
hyperbolic distribution as matrices for testing or demonstration
purposes.
The parameter sets ghypSmallShape
and
ghypLargeShape
have a constant location parameter of
\(\mu\) = 0, and constant scale parameter \(\delta\) =
1. In ghypSmallParam
and ghypLargeParam
the values of
the location and scale parameters vary. In these parameter sets the
location parameter \(\mu\) = 0 takes values from {0, 1} and
{-1, 0, 1, 2} respectively. For the scale parameter
\(\delta\), values are drawn from {1, 5} and {1, 2, 5,
10} respectively.
For the shape parameters \(\alpha\) and \(\beta\) the
approach is more complex. The values for these shape parameters were
chosen by choosing values of \(\xi\) and \(\chi\) which
range over the shape triangle, then the function ghypChangePars
was applied to convert them to the \(\alpha, \beta\)
parameterization. The resulting \(\alpha, \beta\)
values were then rounded to three decimal places. See the examples for
the values of \(\xi\) and \(\chi\) for the large
parameter sets.
The values of \(\lambda\) are drawn from {-0.5, 0, 1} in
ghypSmallShape
and {-1, -0.5, 0, 0.5, 1, 2} in
ghypLargeShape
.