Prof Aihua XIA

Professor

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

Publications, Grants and Awards

You can find all publications, grants and awards on their Find an Expert page.

Find an Expert

Current Postgraduate Supervision

Name Thesis title
Sheng WANG

Past Postgraduate Supervision

Name Thesis title
Tianshu CONG "Convergence rate for statistics of point processes"
Han Liang GAN "Locally Dependant Extremes"
Qingwei LIU "On moderate deviations for count data and gamma approximation "
Xiaoxin WANG "Approximate distributions of the number of run occurrences"

Current MSc Students

Name Project title
Hangrui LIN
Paul NGUYEN "a-stable distribution approximation"

Past Honours & MSc Students

Name Project title
Tianshu CONG "Poisson approximation of traffic processes in Jackson networks under random environment"
Yimiao FAN "On Accuracy of Exponential Distribution Approximation"
Sarah FODA "Extreme Value Theory and its Applications to Foreign Exchange Rates"
Yuxuan GUO "From a Lightbulb Process to the Ornstein-Uhlenbeck Process"
Edward LAM "Pricing Foreign Exchange Options"
Cong LI "Bayesian Game Theory with Application to a Service Industry Problem"
Xuan LI "Generalized Ageing Intensities: Theory and Applications"
Xinyi LIN "Extreme Value Copulas and an Application"
Anson MACDONALD "Approximation of Discrete Probability Distributions by Stein's Method"
Cheng MAO "The Conway-Maxwell Poisson Distribution - from Infinite Divisibility to Its Applications"
Will MISCHLEWSKI "The convergence, and rate of convergence of sequences of stochastic processes to brownian motion"
James OATES "An Exposition of Extremal Processes"
Damian PAVLYSHYN "Coupling techniques and Wasserstein metrics for Poisson process approximation"
David RINGER "Association behaviour in non-linear death processes"
Charley XIA
Lei XING "Trading with Copulas"

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

Awards

Year Name Organisation
2018 Fellow of the Institute of Mathematical Statistics Institute of Mathematical Statistics

Committees

  • Belz Committee
  • Engagement and Publicity Committee
  • Math. Sciences Library Users Committee
  • Science International Advancement Committee