F#
- pymc_marketing.bass.model.F(p, q, t)[source]#
Installed base fraction (cumulative adoption proportion).
This function calculates the cumulative proportion of adopters at time t, representing the fraction of the potential market that has adopted the product.
- Parameters:
- p
floatorTensorVariable Coefficient of innovation (external influence)
- q
floatorTensorVariable Coefficient of imitation (internal influence)
- tarray_like or
TensorVariable Time points
- p
- Returns:
TensorVariableThe cumulative proportion of adopters at each time point
Notes
This is the solution to the Bass differential equation:
\[F(t) = \frac{1 - e^{-(p+q)t}}{1 + (\frac{q}{p})e^{-(p+q)t}}\]When \(t=0\), \(F(t)=0\), and as \(t\) approaches infinity, \(F(t)\) approaches 1.