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ZDD - Gen Default - Asymmetric Normal

This is the Zero
Distortion Density (ZDD) used in the default GenHVL models. This generalized normal's a_{1}
center parameter is the mean of the asymmetric peak. The [Z] ZDD is a similar model with a parameterization
where a_{1} is the center of the underlying normal. The a_{3} parameter in the ZDD nomenclature
adjusts the third moment or skew.

This is also the ZDD used in the default GenNLC models. For the GenNLC
models, a_{0}, and a_{1}
will be identical. The a_{2} width or second moment term
will reflect a kinetic time constant, and a_{3} will reflect
an NLC asymmetry normalized to 0.5 for the Giddings ZDD. Please see the GenHVL
and GenNLC equivalence topic for further details.

Generalized Default ZDD (One Higher Moment)

a_{0} = Area

a_{1} = Center (as mean of asymmetric peak)

a_{2} = Width (SD of underlying Gaussian)

a_{3} = Asymmetry ( fronted -1 > a_{3} > 1 tailed)

Built-In Peak Model

GenNorm[m] (Statistical family)

User-Defined Peaks and View Functions

GenNorm[m](x,area,mean,width,shape) Asym Generalized
Normal Area

GenNorm[m]_C(x,amplitude,mean,width,shape) Asym
Generalized Normal cumulative

GenNorm[m]_CR(x,amplitude,mean,width,shape) Asym
Generalized Normal reverse cumulative