3 problems

Let $P_{\beta}$ be the exchangeable Dirichlet-driven length-variable process, let $P'$ be the geometric process, and let $D_{\theta}(\beta)$ denote the expectation of the Kullback–…

Let $P_{\beta}$ and $P'$ denote the exchangeable stick-breaking process with parameter $\beta$ and the geometric process, respectively, and let $D_{\theta}(\beta)$ denote the expec…

Let $(w_j)_{j\geq 1}$ be the decreasingly ordered frequencies of the extended geometric stick-breaking process with integer scale parameter $s\geq 2$, and let $K_n$ denote the numb…