 level2">
<h2 class="hasAnchor">
<a href="#simple-poisson-regression-model" class="anchor"></a>Simple Poisson Regression Model</h2>
<p>As said before, the simplest case that can be estimated with lavacrag is an ordinary Poisson regression model, regressing a count outcome Y on a manifest covariate Z with <span class="math display">\[
\begin{align*}
E(Y|Z) &amp;= \mu_Y = \exp(\beta_0 + \beta_1 \cdot Z)\\
Y &amp;\sim \mathcal{P}(\lambda = \mu_Y)
\end{align*}
\]</span> In our example dataset, we can fit