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.

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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