2 problems

Let $M_0$ be the binomial random variable discussed in the preceding bound, and consider the final integral term in the upper bound of Theorem, both with and without approximating…

Let $X_1,\ldots,X_n$ and $Y_1,\ldots,Y_n$ be the random vectors and i.i.d. approximating random vectors from Theorem 1, with $S_n$, $\widetilde{S}_n$, $K$, $C_{\mathscr{B}}$,…