2 problems

Let $f \in C^{\infty}[0,1]$ be a function in an appropriate class, and consider the debiased Bernoulli-factory estimator whose random number of input coins is determined by the tru…

Let ${\bf M}_n$ have the multinomial distribution ${\cal M}(n,\theta)$, where $\theta=(\theta_1,\theta_2,\ldots)$ satisfies … and let $Y_n^{(d)}$ denote the number of urns containi…