107 citations · 432 across the 30 of their papers we have counts for
32 papers
Quantitative CLTs for Geometric Statistics of Dependent Marked Point Processes
Tianshu Cong, Aihua Xia, J. E. Yukich
Given a geometric statistic expressible as a sum of scores which depend on local data, \citet{BYY19} established central limit theorems for centered and normalized versions of thes…
Limit theory for Lipschitz-localized statistics in random geometric models
B. Błaszczyszyn, D. Yogeshwaran, J. E. Yukich
We study sums of locally dependent scores associated with general marked (i.e., labeled) Euclidean point processes. We introduce geometric mixing conditions on the underlying point…
Second-order Poincaré inequalities and localization on the Poisson space
Tara Trauthwein, J. E. Yukich
Given a mean zero functional of a Poisson measure on a metric space, we apply the Malliavin-Stein method to establish sharpened second-order Poincaré inequalities for $F/\sqrt{…
Rates of multivariate normal approximation for statistics in geometric probability
Matthias Schulte, J. E. Yukich
We employ stabilization methods and second order Poincaré inequalities to establish rates of multivariate normal convergence for a large class of vectors $(H_s^{(1)},...,H_s^{(m)})…
Convex hulls of perturbed random point sets
Pierre Calka, J. E. Yukich
We consider the convex hull of the perturbed point process comprised of i.i.d. points, each distributed as the sum of a uniform point on the unit sphere and a uniform…
Limit theory for unbiased and consistent estimators of statistics of random tessellations
Daniela Flimmel, Zbyněk Pawlas, Joseph E. Yukich
We observe a realization of a stationary generalized weighted Voronoi tessellation of the d-dimensional Euclidean space within a bounded observation window. Given a geometric chara…