On the rate of convergence of the martingale central limit theorem in Wasserstein distances
X Guo - arxiv preprint arxiv:2407.16980, 2024 - arxiv.org
For martingales with a wide range of integrability, we will quantify the rate of convergence of
the central limit theorem via Wasserstein distances of order $ r $, $1\le r\le 3$. Our bounds …
the central limit theorem via Wasserstein distances of order $ r $, $1\le r\le 3$. Our bounds …
A two-sample test based on averaged Wilcoxon rank sums over interpoint distances
A Betken, A Marjanovic, K Proksch - arxiv preprint arxiv:2408.10570, 2024 - arxiv.org
An important class of two-sample multivariate homogeneity tests is based on identifying
differences between the distributions of interpoint distances. While generating distances …
differences between the distributions of interpoint distances. While generating distances …
Three-parameter approximations of sums of locally dependent random variables via Stein's method
Z Su, X Wang - Science China Mathematics, 2024 - Springer
Let {X i, i∈ J} be a family of locally dependent non-negative integer-valued random
variables with finite expectations and variances. We consider the sum W=∑ i∈ JX i and …
variables with finite expectations and variances. We consider the sum W=∑ i∈ JX i and …
The cumulant method for counting variables and typical cells in poisson line tessellations
N Heerten - 2024 - hss-opus.ub.ruhr-uni-bochum.de
This dissertation is divided into two main parts: The first part focuses on the cumulant
method, which provides various results concerning the distribution of the underlying random …
method, which provides various results concerning the distribution of the underlying random …