Title Project Discription Level Supervisor
SRS-01/17 Power rankings and predictions in sports using extedned Bradley-Terry models

Suitable for:  Third year and honours-level students in statistics, mathematics and/or computer science.  Familiarity with R or Matlab is highly desirable.

Project:  A novel application of generalised linear models is in the power rankings...

Summer Project Ms Janet Seddon
Player Valuation in Rugby League

Traditional models of player valuation in Rugby League use summary statistics to estimate the value of a player.  Some examples include: minutes played, tackles made, tackles missed, hit ups made, metres gained, tries scored, try assists, errors, penalties conceded and kick effectiveness....

Honours Project
Summer Project
Winter Project
Dr Michael Forbes
Modelling of Sustainable Fisheries

The Centre for Applications in Natural Resource Mathematics (CARM) is a School Centre in the School of Mathematics and Physics at The University of Queensland. The Centre is co-funded by...

PhD Project
Masters Project
Honours Project
Professor Jerzy Filar
Modern Statistical Inference
As our world is becoming more and more complex, Statistics remains the most principled way to make some sense of all this randomness. A quote by Hal Varian, Chief economist at Google, conveys a lot about the current relevance of statistics:

“I keep saying...
PhD Project
Masters Project
Honours Project
Summer Project
Professor Dirk Kroese
Many real-world quantitative problems are solved nowadays through Monte Carlo methods: that is, through random experiments on a computer....
PhD Project
Masters Project
Honours Project
Summer Project
Professor Dirk Kroese
Models for counts

Count data often exhibit deviations from a nominal Poisson distribution. This project will look at ways to handle such deviations, both parametrically and non-parametrically.

PhD Project
Masters Project
Honours Project
Dr Alan Huang
Card shuffling and other random processes

Why are seven shuffles enough to randomise a deck of cards (Bayer & Diaconis, 1992)? Can we extend this result to other types of shuffles? What other random processes can we...

Honours Project Dr Alan Huang
Exploring the Phase Transition in Inhomogeneous Random Graphs

In 2007, B. Bollobas, S. Janson, and O. Riordan published an important paper titled ``The Phase Transition in Inhomogeneous Random Graphs,'' which gives properties of a very...

Honours Project
Summer Project
Dr Thomas Taimre
Dynamic Spatial Network Models

Random networks are often modelled without reference the particular space which they inhabit.  There is some work in this area (for example Penrose’s Random Geometric...

PhD Project
Masters Project
Dr Thomas Taimre
Weighted Network Models

In many social networks, selection of friends on the basis of social status is very common. Similarly, websites may link to more popular websites in the hope of gaining more traffic. Simple models of these phenomena, where the benefits of connection vary according to some metric (for example...

PhD Project
Masters Project
Dr Thomas Taimre
Self-Organizing Phenomena in Real-World Networks

Many networks from crystalline lattices to social networks display so-called self-organizing phenomena. This essentially means that global order or chaos can emerge from simple local rules.  Particular interest has been paid to these phenomena in light of residential segregation in the US...

PhD Project
Masters Project
Dr Thomas Taimre
Efficient Simulation of Random Networks

The properties of complex networks are difficult to study without the aid of simulation, and so efficient and reliable simulation techniques for random networks are of great interest.  Two such methods are degree distributions and graph motifs.

In this project, you will investigate...

Honours Project
Summer Project
Dr Thomas Taimre
Empirical Study of Stochastic Network Games

Stochastic game theory is the study of strategic interactions between actors in an environment where their payoffs are affected by the actions of all players in the past.

In this project, you will investigate in simulation simple models for stochastic network games, where the environment...

Honours Project
Summer Project
Dr Thomas Taimre
Estimation and Inference on Random Networks

Social, economic, and infrastructure networks are crucially important to today's increasingly connected world.  In this project you will investigate how to estimate models of dynamic networks and conduct inference for these...

Honours Project
Summer Project
Dr Thomas Taimre
Efficient Simulation for the Poisson Lily-Pond Model

The Poisson lily-pond model is a spatial germ--grain process, whose ``germs'' are points of a Poisson process with ``grains'' growing at uniform rate from these germs, stopping when their boundaries touch.  While some results regarding the size of the largest connected...

Honours Project
Summer Project
Dr Thomas Taimre
Importance Sampling for Diffusion Processes via Path-Dependent Mapping

A diffusion process on a Riemannian manifold has infinitesimal generator which is fundamentally related to the Laplace--Beltrami operator on that manifold.  For a...

Masters Project
Honours Project
Dr Thomas Taimre
Efficient Parameter Estimation for Signals from Laser Interferometers

The excess-phase model for interferometric signals is a simple model which well captures much of the complex behaviour observed in laser interferometers. ...

Honours Project
Summer Project
Dr Thomas Taimre
Sequential Importance Sampling with Mixture Models

Mixture models are a powerful tool for many statistical applications, including density estimation from data.
This project focuses on using mixture models in sequential or on-line importance sampling.  A specific application of interest is to the estimation of rare events,...

Honours Project
Summer Project
Dr Thomas Taimre
Numerically Stable Simulation of Stochastic Differential Equations Driven by Empirical Processes

Stochastic differential equations driven by Brownian motion or L\'evy processes are well established as models for many real-world phenomena.  Just as there are efficient...

Masters Project
Honours Project
Dr Thomas Taimre
Efficient Estimation for Heavy-tailed Random Sums of Light-Tailed Random Variables

Random sums of random variables arise in many contexts of applied probability such as the probability of buffer overflow in queues, or when considering the probability of ruin for risk models.  When such quantities of interest cannot be evaluated precisely, there are many well established...

Masters Project
Honours Project
Dr Thomas Taimre
Theory and computation of nonparametric generalized linear models

Generalized linear models have quickly become indispensable tools for the...

Masters Project
Honours Project
Dr Alan Huang
Theory and Computation of Nonparametric Generalized Linear Models (Note: To Be Supervised by Dr Alan Huang commencing February 2014)

Generalized linear models have become indispensible tools for the analysis of biomedical, agricultural and engineering data. Recently, there has been some exciting work on novel extensions of generalized linear models that relax...

Honours Project Professor Joseph Grotowski
On Modelling Heterogeneous Data via Finite Mixture Distributions

Finite mixture distributions have become increasingly popular in the modelling and analysis of data due to their flexibility. This use of finite mixture distributions to model heterogeneous data has undergone...

PhD Project
Masters Project
Honours Project
Professor Geoff McLachlan
Statistical Analysis of Microarray Gene-Expression Data

This project is concerned with some of the problems and issues associated with the statistical analysis of microarray gene-expression data. One problem concerns the identification of genes that are differentially expressed between different classes containing tissue samples taken from subjects...

PhD Project
Masters Project
Honours Project
Professor Geoff McLachlan
Critical Assessment of Automated Flow Cytometry Data Anlaysis Techniques

Traditional methods of analysing flow cytometry data rely on subjective manual gating. As modern day machines can now provide data on...

PhD Project
Masters Project
Honours Project
Professor Geoff McLachlan
Clustering of High-Dimensional Data

This project is concerned with the clustering of high-dimensional data where the number of variables is much larger than the number of experimental units.  Consideration is to be given to the suitability and  effectiveness of the use of  factor models to enable normal mixture...

PhD Project
Masters Project
Honours Project
Professor Geoff McLachlan
Data Analysis of Melbourne's Urban Road Traffic

This project deals with analysis of huge volumes of data recorded on-line for urban road traffic networks, namely Melbourne's traffic system.  There are tens of interesting questions that need to be formulated and answered by means of real data analysis.

Masters Project
Honours Project
Dr Yoni Nazarathy
Approximate Analysis and Control of Overflow Queuing Networks

Standard queueing network models such as the celebrated Jackson and BCMP networks exhibit mathematically elegant product form solutions of the stationary distribution. This means that the problem of evaluating the probabilistic behavior of the network at steady state is typically tractable. As...

PhD Project
Masters Project
Dr Yoni Nazarathy
Statistical Estimation of Matrix Analytic Queueing Models

The study of matrix analytic methods in queueing theory is by now a well established research field. The basic idea is to model queueing phenomena by complex large dimensional Markov chains which are well structured and are thus amenable to efficient algorithmic...

PhD Project
Masters Project
Honours Project
Dr Yoni Nazarathy
System Identification Theory for Queuing Networks

Queueing networks are stochastic mathematical models that are often used for analyzing service, manufacturing and communication systems. One often attempts to model the situation at hand by means of a...

PhD Project
Masters Project
Dr Yoni Nazarathy
Quantum-Tomographic Approaches to the Interpretation of Semi-Empirical Quantum Chemistry Models

Modelling the behavior of correlated electrons in finite systems is at the heart of theoretical chemistry.  Many sophisticated techniques have been...

PhD Project Dr Seth Olsen
Optimization using statistical models

The field of meta-heuristic optimization offers a variety of powerful methods for solving difficult optimization problems, and requires no prior knowledge other than the cost function and any constraints. These methods include simulated annealing, genetic algorithms, estimation of distribution...

PhD Project
Masters Project
Honours Project
Dr Ian Wood
Statistical model selection, with a focus on high-dimensional data

A variety of assessment methods exist to aid in the choice of an optimal statistical model or the set of explanatory variables to be used with it. The ability to measure and store data increases yearly leading to a growing demand for the analysis of high-dimensional data in many fields e.g....

PhD Project
Masters Project
Honours Project
Dr Ian Wood