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ZDD - [K] Generalized Two-Sided Kinetic Orders 0,1 (High Overload Shapes Only)

This is the Zero Distortion Density (ZDD) used in the GenHVL[K] models.

The [K] model is used as the ZDD only for preparative (extremely high overload) shapes. The starting estimates for the [K] density assume a high overload envelope.

This model's a₁ center parameter is the mode of the underlying two sided kinetic model. The transition between the two different kinetic orders occurs at the apex. The a₂ width parameter is the actual width (first order time constant) of the exponential decay primarily determining the shape of the right side of the peak. The a₃ parameter in the ZDD nomenclature specifies the left side width (zero order time constant) as a fraction of a₂. An a₃ of 1 means a₃=a₂, the two time constant equal. The a₃ parameter primarily determines the shape of the rise of the peak.

Although an asymmetric shape occurs from the different orders and widths, the a₄ parameter is a generalization which further adjusts the asymmetry in a continuous fashion. The third moment or skew of the peak, will be determined by both a₄ and the asymmetry difference across the two kinetic components.

There is no GenNLC[K] model. Since this model cannot replicate either a Gaussian or Giddings decay, no [K] ZDD model can reproduce the HVL or NLC shape.

[K] ZDD

a₀ = Area

a₁ = Center

a₂ = Width Right-side (decay)

a₃= Left-Side width (rise) as fraction of a₂

a₄= Asymmetry ( fronted -1 > a₄ > 1 tailed)

Built-In Peak Model

  GenDbl0E (Statistical family)

User-Defined Peaks and View Functions

  GenDbl0E(x,area,center,wdecay,wrise,z-asym) DblKinetic (order 0,1) 2 widths
  GenDbl0E_C(x,area,center,wdecay,wrise,z-asym) DblKinetic (order 0,1) 2 widths cumulative
  GenDbl0E_CR(x,area,center,wdecay,wrise,z-asym) DblKinetic (order 0,1) 2 widths rev. cumulative

This Generalized Two-Sided Kinetic Orders 0,1 model is part of the unique content in the product covered by its copyright.