Let T1,..., Ts−1 have the multinomial distribution (2.34), and suppose that (p1,..., ps−1) has the Dirichlet prior density D(a1,..., as) with density proportional to pa1−1 1 ... pas−1 s , where ps = 1 − (p1 +···+ ps−1). Determine the posterior distribution of (p1,..., ps−1) given the T ’s.

Section 5.8