Professor 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
  • 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.

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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