Professor Aihua XIA
Professor / Deputy Head of School
School of Mathematics and Statistics
- +61 3 834 44247
- aihuaxia@unimelb.edu.au
- Find an Expert profile
- Website http://researchers.ms.unimelb.edu.au/~xia/
- Room: 220
- Building: Peter Hall Building
- Campus: Parkville
Research Interests
- Limit Theory in Stochastic Processes
- Markov processes
- Point Processes
- Poisson and compound Poisson approximations
- Queueing Networks
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.
Paul 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.
A. Xia, JE Yukich. Normal Approximation for Statistics of Gibbsian Input in Geometric Probability. Advances in Applied Probability, 47, 934-972, 2015. doi: 10.1017/S0001867800048965.
AD Barbour, HL Gan, A. Xia. Stein factors for negative binomial approximation in Wasserstein distance. Bernoulli, 21, 1002-1013, 2015. doi: 10.3150/14-BEJ595.
Current Postgraduate Supervision
Name | Thesis title |
---|---|
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 | |
Anson MACDONALD | |
Tianshu CONG |
Past MSc Students
Name | Project title |
---|---|
Sarah FODA | "Extreme Value Theory and its Applications to Foreign Exchange Rates" |
Edward LAM | |
Xinyi LIN | |
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 - 2017 | ARC | Discovery | Random Discrete Structures: Approximations and Applications |
2012 - 2014 | ARC | Discovery | Random network models with applications in biology |
2007 - 2009 | ARC | Discovery | Quantifying cortical thickness and white matter hyperintensity volumes and determining their relationship on Magnetic Resonance Imaging in ageing brains |
2003 - 2010 | ARC | Centre Of Excellence | ARC Centre of Excellence for Mathematics and Statistics of Complex Systems |
Responsibilities
- Chair of Belz Committee
- Deputy Head of School
- Faculty of Science Promotion Panel member for Level B to C
- Postgraduate Coursework Coordinator
- Stochastic Processes Seminar Coordinator
Committees
- Belz Committee
- Executive Committee
- Management Committee
- Math. Sciences Library Users Committee
- Postgraduate Programs Committee
- Strategic Planning Committee