PeakLab v1 Documentation Contents AIST Software Home AIST Software Support

ZDD - [Z] Asymmetric Normal

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

This is also the ZDD used in the GenNLC[Z] models. For the GenNLC[Z] models, a_{0}, 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.

[Z] ZDD

a_{0} = Area

a_{1} = Center (as mean of underlying Gaussian)

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

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

Built-In Peak Model

GenNorm (Statistical family)

User-Defined Peaks and View Functions

GenNorm(x,area,median,width,shape) Asym Generalized
Normal Area

GenNorm_C(amplitude,center,width,z-asym) Gen. Normal
cumulative

GenNorm_CR(amplitude,center,width,z-asym) Gen.
Normal reverse cumulative