 number of rows of <code>x</code> must match the size of <code>alpha</code> and
the number of columns of <code>x</code> needs to match the size of the coefficient vector <code>beta</code>.</p>
<!-- real; poisson_log_glm_lpmf; (int[] y | matrix x, real alpha, vector beta); -->
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<p><code>real</code> <strong><code>poisson_log_glm_lpmf</code></strong><code>(int[] y | matrix x, real alpha, vector beta)</code><br>
The log Poisson probability mass of <code>y</code> given the log-rate <code>alpha + x * beta<