50 citations · 163 across the 34 of their papers we have counts for
34 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…
Performance Analysis for Wireless Localization with Random Sensor Network
Mengqi Ma, Aihua Xia
Accurate wireless localization underpins applications from autonomous systems to smart infrastructure. We study the mean-squared error (MSE) and conditional MSE (CMSE) of a practic…
On the rate of normal approximation for Poisson continuum percolation
Tiffany Y. Y. Lo, Aihua Xia
It is known that the number of points in the largest cluster of a percolating Poisson process restricted to a large finite box is asymptotically normal. In this note, we establish…
Convergence rate for geometric statistics of point processes with fast decay dependence
Tianshu Cong, Aihua Xia
[Błaszczyszyn, Yogeshwaran and Yukich (2019)] established central limit theorems for geometric statistics of point processes having fast decay dependence. As limit theorems are of…
The saturated pairwise interaction Gibbs point process as a joint species distribution model
Ian Flint, Nick Golding, Peter Vesk +2
In an effort to effectively model observed patterns in the spatial configuration of individuals of multiple species in nature, we introduce the saturated pairwise interaction Gibbs…
Geometric sums, size biasing and zero biasing
Qingwei Liu, Aihua Xia
The geometric sum plays a significant role in risk theory and reliability theory \cite{Kala97} and a prototypical example of the geometric sum is Rényi's theorem~\cite{Renyi56} say…