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Gompertz Growth Model

Another useful formulation that does not exhibit a symmetric point of inflection is the Gompertz growth model. The defining equation is

where is the final size achieved, is a scaling factor, and is the x-ordinate of the point of inflection. The corresponding y-ordinate of the point of inflection occurs at

With maximum growth rate

The following constraints apply to the selection of parameter values for the Gompertz model:

The response feature vector g for the Gompertz growth model is defined as


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