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ZDD - [Z] Asymmetric Normal


This is the Zero Distortion Density (ZDD) used in the GenHVL[Z] models. This generalized normal's a1 center parameter is the mean of the underlying Normal. The default ZDD is a similar model with a parameterization where a1 is the mean of the asymmetric peak. The a3 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, a0, 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.

[Z] ZDD

 

ZDD - [Z]4.png

a0 = Area

a1 = Center (as mean of underlying Gaussian)

a2 = Width (as SD of underlying Gaussian)

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

v5_ZDD_[Z].png

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



c:\1pf\v5 help\home.gif ZDD - Gen2 Default ZDD - [Y]