Is the distribution parameter object consistent with the corresponding distribution? The distribution functions (cdfgam
, pdfgam
, quagam
, and
lmomgam
) require consistent parameters to return the cumulative
probability (nonexceedance), density, quantile, and L-moments of the distribution,
respectively. These functions internally use the are.pargam.valid
function. The parameters are restricted to the following conditions.
$$\alpha > 0 \mbox{ and } \beta > 0\mbox{.}$$
Alternatively, a three-parameter version is available following the parameterization of the Generalized Gamma distribution used in the gamlss.dist package and and for lmomco is documented under pdfgam
. The parameters for this version are
$$\mu > 0;\;\; \sigma > 0;\;\; -\infty < \nu < \infty$$
for parameters number 1, 2, 3, respectively.