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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

a₀ = Area

a₁ = Center (as mean of underlying Gaussian)

a₂ = Width (as SD of underlying Gaussian)

a₃ = Asymmetry ( fronted -1 > a₃ > 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