We study the rate of convergence in central limit theorem for Euclidean norm random orthogonal projections vectors chosen at from an $\ell _p^n$-ball which has been obtained [D. Alonso-Gutiérrez et al., Bernoulli 25 (2019)]. More p

Two coins A and B are tossed N1 and N2 times, respectively. Denote by M1 (M2) the total number of heads (tails) and X the number of heads from coin A. It is well known that conditional on the Mi and Ni, X has a noncentral hypergeometric distribution which depends only on the odds ratio θ between the success probabilities of the two coins. This model is commonly used in the analysis of a single ...

For stationary ergodic diffusions satisfying nonlinear homogeneous Itô stochastic differential equations, this paper obtains the Berry–Esseen bounds on rates of convergence to normality distributions quasi maximum likelihood estimators based Taylor approximation, under some regularity conditions, when diffusion is observed at equally spaced dense time points over a long interval, high-frequency...

We establish a general Berry–Esseen type bound which gives optimal bounds in many situations under suitable moment assumptions. By combining the with Palm theory, we deduce new error for assessing accuracy of normal approximation to statistics arising from random measures, including stochastic geometry. illustrate use four examples: completely excursion measure locally dependent process, and to...