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ZDD - [G] Half-Gaussian Modified Gaussian (GMG)

This is the Zero
Distortion Density (ZDD) used in the GenHVL[G] models. This GMG a_{1} center parameter is
the mean of the underlying Gaussian. The a_{3} parameter in the ZDD nomenclature adjusts the third
moment or skew. Here the skew is altered by the width of the convolved half-Gaussian in the GMG.

This is also the ZDD used in the GenNLC[G] models. For the GenNLC[G]
models, a_{0}, a_{1},
and a_{3} will be identical. The a_{2}
width or second moment term will reflect a kinetic time constant. Please see the GenHVL
and GenNLC equivalence topic for further details.

[G] ZDD

a_{0} = Area

a_{1} = Center (as mean of underlying Gaussian)

a_{2} = Width (as SD of underlying Gaussian)

a_{3} = Half-Gaussian convolution width

Built-In Peak Model

GMG (Chromatography, Statistical families)

User-Defined Peaks and View Functions

GMG(x,area,center,width,g-sd) Half-Gaussian Modified
Gaussian

GMG_C(x,amplitude,center,width,g-sd) GMG cumulative

GMG_CR(x,amplitude,center,width,g-sd) GMG reverse
cumulative