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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 a1 center parameter is the mean of the asymmetric peak. The [Z] ZDD is a similar model with a parameterization where a1 is the center of the underlying normal. The a3 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, a0, and a1 will be identical. The a2 width or second moment term will reflect a kinetic time constant, and a3 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)

 

ZDD - Default1.png

a0 = Area

a1 = Center (as mean of asymmetric peak)

a2 = Width (SD of underlying Gaussian)

a3 = Asymmetry ( fronted -1 > a3 > 1 tailed)

v5_ZDD_Default.png

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



c:\1pf\v5 help\home.gif PFChrom Functions ZDD - Gen2 Default