statsmodels.gam.generalized_additive_model.LogitGam.pdf¶
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LogitGam.pdf(X)¶ The logistic probability density function
- Parameters
- Xarray_like
X is the linear predictor of the logit model. See notes.
- Returns
- pdf
ndarray The value of the Logit probability mass function, PMF, for each point of X.
np.exp(-x)/(1+np.exp(-X))**2
- pdf
Notes
In the logit model,
\[\lambda\left(x^{\prime}\beta\right)=\frac{e^{-x^{\prime}\beta}}{\left(1+e^{-x^{\prime}\beta}\right)^{2}}\]