3 citations · 4 across the 6 of their papers we have counts for
6 papers
Gaussian fluctuations of generalized -statistics and subgraph counting in the binomial random-connection model
Qingwei Liu, Nicolas Privault
We derive normal approximation bounds for generalized -statistics of the form \begin{equation*} S_{n,k}(f):=\sum_{ 1 \leq β(1),\dots,β(k) \leq n \atop β(i)\neβ(j), \ 1\leq i\ne…
Normal to Poisson phase transition for subgraph counting in the random-connection model
Qingwei Liu, Nicolas Privault
We consider the limiting behavior of the count of subgraphs isomorphic to a graph with fixed endpoints (or roots) in the random-connection model, as the intensity …
Graph connectivity with fixed endpoints in the random-connection model
Qingwei Liu, Nicolas Privault
We consider the count of subgraphs with an arbitrary configuration of endpoints in the random-connection model based on a Poisson point process on . We present combinat…
Normal approximation of subgraph counts in the random-connection model
Qingwei Liu, Nicolas Privault
This paper derives normal approximation results for subgraph counts written as multiparameter stochastic integrals in a random-connection model based on a Poisson point process. By…
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…
On moderate deviations in Poisson approximation
Qingwei Liu, Aihua Xia
In this paper, we first use the distribution of the number of records to demonstrate that the right tail probabilities of counts of rare events are generally better approximated by…