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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 a_{1} 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 a_{2}
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 a_{3}
parameter in the ZDD nomenclature specifies the left side width (zero order time constant) as a fraction
of a_{2}. An a_{3}
of 1 means a_{3}=a_{2},
the two time constant equal. The a_{3}
parameter primarily determines the shape of the rise of the peak.

Although an asymmetric shape occurs from the different orders and widths,
the a_{4} 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 a_{4}
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

a_{0} = Area

a_{1} = Center

a_{2} = Width Right-side (decay)

a_{3}= Left-Side width (rise) as fraction of a_{2}

a_{4}=
Asymmetry ( fronted -1 > a_{4}
> 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.