2 problems

Let $n$ be the sample size, and consider piecewise constant functions whose true number of jumps is at least $\sqrt n$. The posterior model dimension is the number of jumps in the…

Let $K_n$ denote the true model dimension, and let $n$ be the sample size. Suppose the posterior contracts at rate $K_n/n$ under the compound Poisson prior, while the maximum likel…