Metalog6P
A six-term metalog distribution.
Six terms is the largest arity with a registered class, chosen to match the range of term counts the distribution fitting estimators search. The underlying basis functions place no limit on the number of terms, so an application needing more can extend the base class directly, forgoing the random variable type registration and the fitting pipeline.
No closed-form moment expressions cover this arity, so the mean and variance are obtained by numerical integration of the quantile function and cached.
Parameters
the location coefficient
the scale coefficient, which must remain strictly positive
the skewness coefficient
the kurtosis coefficient
the fifth coefficient, refining the location series of the quantile function
the sixth coefficient, refining the scale series of the quantile function
the lower bound, or negative infinity when unbounded below
the upper bound, or positive infinity when unbounded above
an optional name
Constructors
Functions
Promises to return a random variable that uses the supplied stream number using the supplied stream provider