Probability and Statistics Available Projects
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 |
Advanced Monte Carlo Methods |
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. |
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 |