The Gompertz distribution is a flexible distribution that can be skewed to the right and to the left. Its hazard function is a convex function of . The model can be fitted into the innovation-imitation paradigm with
as the coefficient of innovation and as the coefficient of imitation. When becomes large, approaches . The model can also belong to the propensity-to-adopt paradigm with
as the propensity to adopt and as the overall appeal of the new offering.
The Gompertz density function can take on different shapes depending on the values of the shape parameter :
When the probability density function has its mode at 0.
When the probability density function has its mode at
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^ abcBemmaor, Albert C.; Glady, Nicolas (2012). "Modeling Purchasing Behavior With Sudden 'Death': A Flexible Customer Lifetime Model". Management Science. 58 (5): 1012-1021. doi:10.1287/mnsc.1110.1461.
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