>. If <code>x</code> and <code>y</code> are data (not parameters) this function can be executed on a GPU.</p>
<!-- real; poisson_log_glm_lpmf; (int[] y | matrix x, vector alpha, vector beta); -->

<p><code>real</code> <strong><code>poisson_log_glm_lpmf</code></strong><code>(int[] y | matrix x, vector alpha, vector beta)</code><br>The log Poisson probability mass of <code>y</code> given the log-rate <code>alpha + x * beta</code>, where an intercept <code>alpha</code> is used that is allowed to vary with the 