Error bounds for the normal approximation to the length of a Ewens partition

Koji Tsukuda

Let $K(=K_{n,\theta })$ be a positive integer-valued random variable whose distribution is given by $\mathrm{P}(K=x)=\bar{s}(n,x){\theta }^x/(\theta {)}_n$ $(x=1,\dots ,n)$, where $\theta$ is a positive n…