Poisson model
Description
Regression with Poisson model is a simple model used for count data.
Definition
For discrete positive outcome \(y\) and predictors \(x\), the model is:
\[ \begin{align} y_i &\sim \text{Poisson}(\exp{\eta_i}) \\ \eta_i &= \alpha + \beta \cdot x_i \end{align} \]
Parameters needing priors
- \(\alpha\) (intercept)
- \(\beta\) (predictor weights)