statsmodels.discrete.discrete_model.Poisson.pdf
-
Poisson.pdf(X)
[source] -
Poisson model probability mass function
Parameters: X (array-like) – X
is the linear predictor of the model. See notes.Returns: pdf – The value of the Poisson probability mass function, PMF, for each point of X. Return type: ndarray Notes
The PMF is defined as
\[\frac{e^{-\lambda_{i}}\lambda_{i}^{y_{i}}}{y_{i}!}\]where \(\lambda\) assumes the loglinear model. I.e.,
\[\ln\lambda_{i}=x_{i}\beta\]The parameter
X
is \(x_{i}\beta\) in the above formula.
© 2009–2012 Statsmodels Developers
© 2006–2008 Scipy Developers
© 2006 Jonathan E. Taylor
Licensed under the 3-clause BSD License.
http://www.statsmodels.org/stable/generated/statsmodels.discrete.discrete_model.Poisson.pdf.html