For a Bayesian classifier with multinomial class-conditionals with (M) dimensional parameters (mathbf{q}_{c}), compute the posterior Dirichlet for

Question:

For a Bayesian classifier with multinomial class-conditionals with $M$ dimensional parameters $\mathbf{q}_{c}$, compute the posterior Dirichlet for class $c$ when the prior over $\mathbf{q}_{c}$ is a Dirichlet with constant parameter $\alpha$ and the observations belonging to class $c$ are the $N_{c}$ observations $\mathbf{x}_{1}, \ldots, \mathbf{x}_{N_{c}}$.

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