Poisson.pdf()

statsmodels.discrete.discrete_model.Poisson.pdf

Poisson.pdf(X) [source]

Poisson model probability mass function

Parameters:

Parameters:	X : array-like `X` is the linear predictor of the model. See notes.
Returns:	pdf : ndarray The value of the Poisson probability mass function, PMF, for each point of X.

X : array-like

X is the linear predictor of the model. See notes.

Returns:

pdf : ndarray

The value of the Poisson probability mass function, PMF, for each point of X.

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