Projects and Assignments List in Statistics

Alexander Veretennikov (ext.: 35183, email: a.veretennikov@leeds.ac.uk, office: 8.22c)

You may also consult the old link at http://www.maths.leeds.ac.uk/~veretenn/mathprojects/index.htm

The list of topics is tentative; variations are possible and in some cases your own topic may be approved. Some of the topics from the list may be taken by more than one student. In some cases a topic may be supervised by another staff member.

The links to Pure and Applied coordinators: Prof Paul P. Martin http://www.maths.leeds.ac.uk/~ppmartin/LEARN/projects2/index.html

and Dr Rob Sturman http://www.maths.leeds.ac.uk/~rsturman/MATH3422/projects.html  (from 2012 Dr Oleg Chalykh http://www.maths.leeds.ac.uk/index.php?id=263&uid=1008)

 

Some more info (from Prof Paul Martin’s page):

  • Project Handbook here (this is the 2011/12 version)
  • Project student/supervisor agreement form HERE (draft).
  • Unless specified otherwise, each topic may be suitable for 3rd and 4th year project/assignment.

 

 
  • Spatial Statistics                                                             R.G.Aykroyd
  • Survival Analysis                                                            R.G.Aykroyd
  • Statistical modelling of epidemics                                 A.J.Baczkowski
  • Time series (spectral methods)                                       A.J.Baczkowski
  • Statistical clustering methods                                        A.J.Baczkowski
  • Computer simulation methods                                       A.J.Baczkowski
  • Testing randomness of a sequence of digits                  A.J.Baczkowski
  • Circular data                                                                   A.J.Baczkowski
  • Modelling species abundance                                         A.J.Baczkowski
  • Bootstrapping                                                                  S.Barber
  • Sequential clinical trials                                                   S.Barber
  • Wavelet methods in statistics                                          S.Barber
  • Minority Game as an adaptive model of interacting agents in financial markets    L.V.Bogachev
  • Extreme Value Theory: limit laws and Pareto distribution       L.V.Bogachev
  • Random Walks in Random Environments                                L.V.Bogachev
  • Random partitions and their limit shape                                   L.V.Bogachev
  • Random Matrix Theory: basics and spectral asymptotics         L.V.Bogachev
  • Exploring contact protein matrices                                                       W.Gilks (available only in semester 2 in year 2011/2012)
  • Predicting the 3D structure of genomes using DNA contact matrices W.Gilks (available only in semester 2 in year 2011/2012)
  • Predicting specificity determining sites in protein sequence alignments W.Gilks (available only in semester 2 in year 2011/2012)
  • A data analysis on the American 2000 Election (3 level) C.Gill (old link) – taken over by J.T.Kent and C.C.Taylor from 2011/2012
  • Quantitative decision analysis in sports betting (3rd level) John Paul Gosling
  • Gaussian process emulation of complex computer models (3rd level) John Paul Gosling
  • Partial Least Squares Regression                                      A.Gusnanto
  • Multiple testing and false discovery rate in microarray data analysis A.Gusnanto
  • Shape analysis (3-4 level)                                                 J.T.Kent
  • The EM algorithm (3-4 level)                                           J.T.Kent
  • Benford’s law (3 level)                                                    J.T.Kent
  • Nonparametric density estimation                                   C.C.Taylor
  • Statistical analysis of point patterns                                C.C.Taylor
  • Statistical pattern recognition                                          C.C.Taylor
  • Representing & analysing statistical problems using Bayesian Networks                 Peter Thwaites
  • Investigating the effects of causal manipulation of variables within a statistical model  Peter Thwaites
  • Extreme values theory                                                     A.Yu.Veretennikov
  • Prediction of random sequences and tracking a signal under a random noise A.Yu.Veretennikov
  • Rate of convergence to equilibrium for Markov chain with applications to Markov Chain Monte Carlo A.Yu.Veretennikov
  • Markov chains as discretization methods for solving partial differential equations A.Yu.Veretennikov
  • Linear algebra methods for analysing ergodicity of Markov chains A.Yu.Veretennikov
  • Probabilistic techniques in Analysis and Complex Analysis A.Yu.Veretennikov
  • Multilevel Monte Carlo path simulations (15 or 30 credits)  J.Voss (see also http://www1.maths.leeds.ac.uk/~voss/projects/ )
  • Random number generation (15 or 30 credits)                      J.Voss
  • Introduction to large deviations (15 or 30 credits)               J.Voss, A.Yu.Veretennikov (notice that the abstracts and literature are different, although the title is the same)
  • Numerical simulations of stochastic differential equations J.Voss
  • Random Walks on Finite Graphs                                       J.Voss
  • Estimating the Intensity Function of a Poisson Process  (30 or 40 credits)  J.Voss

 

This page is maintained by A.Yu.Veretennikov and was last updated on 02 June 2011