Aihua Xia

Difference in distribution functions: A new diffusion weighted imaging metric for estimating white matter integrity.

Jing Du, Forrest C Koch, Aihua Xia, Jiyang Jiang, John D Crawford, Ben CP Lam, Anbupalam Thalamuthu, Teresa Lee, Nicole Kochan, Chloe Fawns-Ritchie, Henry Brodaty, Qun Xu, Perminder S Sachdev, Wei Wen

Journal article  |  2021  |  Neuroimage

Diffusion weighted imaging (DWI) is a widely recognized neuroimaging technique to evaluate the microstructure of brain white matte..

On moderate deviations in Poisson approximation

Qingwei Liu, Aihua Xia

Journal article  |  2020  |  JOURNAL OF APPLIED PROBABILITY

In this paper we first use the distribution of the number of records to demonstrate that the right tail probabilities of counts of..

A large sample property in approximating the superposition of i.i.d. finite point processes

Tianshu Cong, Aihua Xia, Fuxi Zhang

Journal article  |  2020  |  STOCHASTIC PROCESSES AND THEIR APPLICATIONS

One of the main differences between the central limit theorem and the Poisson law of small numbers is that the former possesses th..

Multivariate approximation in total variation using local dependence

AD Barbour, A Xia

Journal article  |  2019  |  ELECTRONIC JOURNAL OF PROBABILITY

We establish two theorems for assessing the accuracy in total variation of multivariate discrete normal approximation to the distr..

When do wireless network signals appear Poisson?

H Paul Keeler, Nathan Ross, Aihua Xia

Journal article  |  2018  |  BERNOULLI

We consider the point process of signal strengths from transmitters in a wireless network observed from a fixed position under mod..

Divergence from, and Convergence to, Uniformity of Probability Density Quantiles

Robert G Staudte, Aihua Xia

Journal article  |  2018  |  ENTROPY

We demonstrate that questions of convergence and divergence regarding shapes of distributions can be carried out in a location- an..

MULTIVARIATE APPROXIMATION IN TOTAL VARIATION, I: EQUILIBRIUM DISTRIBUTIONS OF MARKOV JUMP PROCESSES

AD Barbour, MJ Luczak, A Xia

Journal article  |  2018  |  ANNALS OF PROBABILITY

For integer valued random variables, the translated Poisson distributions form a flexible family for approximation in total variat..

MULTIVARIATE APPROXIMATION IN TOTAL VARIATION, II: DISCRETE NORMAL APPROXIMATION

AD Barbour, MJ Luczak, A Xia

Journal article  |  2018  |  ANNALS OF PROBABILITY

The paper applies the theory developed in Part I to the discrete normal approximation in total variation of random vectors in Zd ...

Stronger Wireless Signals Appear More Poisson

Paul Keeler, Nathan Ross, Aihua Xia, Bartlomiej Blaszczyszyn

Journal article  |  2016  |  IEEE WIRELESS COMMUNICATIONS LETTERS

Keeler et al. recently derived approximation and convergence results, which imply that the point process formed from the signal st..

NORMAL APPROXIMATION FOR STATISTICS OF GIBBSIAN INPUT IN GEOMETRIC PROBABILITY

Aihua Xia, JE Yukich

Journal article  |  2015  |  ADVANCES IN APPLIED PROBABILITY

This paper concerns the asymptotic behavior of a random variable Wλ resulting from the summation of the functionals of a Gibbsian ..