Prof Aihua XIA
Professor / Deputy Head of School
School of Mathematics and Statistics
- Room: 220
- Building: Peter Hall Building
- Campus: Parkville
Research Interests
- Limit Theory in Stochastic Processes
- Poisson and compound Poisson approximations
- Markov processes
- Queueing Networks
- Point Processes
Research Groups
Recent Publications
A. Barbour, M. Luczak, A. Xia. Multivariate approximation in total variation, I: Equilibrium distributions of Markov jump processes. Annals of Probability, 46, 1351-1404, 2018. doi: 10.1214/17-AOP1204.
A. Barbour, M. Luczak, A. Xia. Multivariate approximation in total variation, II: Discrete normal approximation. Annals of Probability, 46, 1405-1440, 2018. doi: 10.1214/17-AOP1205.
H Paul Keeler, N. Ross, A. Xia. When do wireless network signals appear Poisson?. Bernoulli, 24, 1973-1994, 2018. doi: 10.3150/16-BEJ917.
Robert G Staudte, A. Xia. Divergence from, and convergence to, uniformity of probability density quantiles. Entropy, 20, 317 (10pp), 2018. doi: 10.3390/e20050317.
P. Keeler, N. Ross, A. Xia, Bartlomiej Blaszczyszyn. Stronger Wireless Signals Appear More Poisson. IEEE Wireless Communications Letters, 5, 572-575, 2016. doi: 10.1109/LWC.2016.2601913.
Current Postgraduate Supervision
Name | Thesis title |
---|---|
Tianshu CONG | |
Xuan (Kevin) VO | "Convergence of instantaneous markov processes" |
Past Postgraduate Supervision
Name | Thesis title |
---|---|
Han Liang GAN | "Locally Dependant Extremes" |
Xiaoxin WANG | "Approximate distributions of the number of run occurrences" |
Current MSc Students
Name | Project title |
---|---|
Hangrui LIN | |
Paul NGUYEN |
Past MSc Students
Name | Project title |
---|---|
Tianshu CONG | |
Sarah FODA | "Extreme Value Theory and its Applications to Foreign Exchange Rates" |
Edward LAM | |
Cong LI | |
Xinyi LIN | |
Anson MACDONALD | |
Will MISCHLEWSKI | |
James OATES | |
Damian PAVLYSHYN | |
David RINGER | "Association behaviour in non-linear death processes" |
Charley XIA | |
Lei XING |
Recent Grant History
Year(s) | Source | Type | Title |
---|---|---|---|
2015 - 2018 | ARC | Discovery | Random Discrete Structures: Approximations and Applications |
2012 - 2014 | ARC | Discovery | Random network models with applications in biology |
2003 - 2010 | ARC | Centre Of Excellence | ARC Centre of Excellence for Mathematics and Statistics of Complex Systems |
Awards
Year | Name | Organisation |
---|---|---|
2018 | Fellow of the Institute of Mathematical Statistics | Institute of Mathematical Statistics |
Responsibilities
- Chair of Belz Committee
- Postgraduate Coursework Coordinator
- Stochastic Processes
Committees
- Belz Committee
- Math. Sciences Library Users Committee
- Postgraduate Programs Committee
- Strategic Planning Committee