Let Xi (i = 1,...,s) be independently distributed with Poisson distribution P(i), and let T0 = Xj

Let Xi (i = 1,...,s) be independently distributed with Poisson distribution P(λi), and let T0 = Xj , Ti = Xi, λ = λj . Then T0 has the Poisson distribution P(λ), and the conditional distribution of T1,...,Ts−1 given T0 = t0 is the multinomial distribution (2.34) with n = t0 and pi = λi/λ.