2 papers
math.PR2021
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…
math.PR2019
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…