Department of Mathematics

CSSM reports

2003 Research Reports

CSSM 2003/06 Coad, D.S & Woodroofe, M.B
Corrected confidence intervals for adaptive nonlinear regression models
CSSM 2003/05 Atherton, D.P.
Steady state filtering and target tracking
CSSM 2003/04 Briggs, A.J. (postscript file)
Numerical comparisons of data fusion formulae
CSSM 2003/03 Bather, J.A. (.dvi file)
Data fusion for several Kalman filters tracking a single target
CSSM 2003/02 Morgan, C.C. & Coad, D.S.
A comparison of adaptive allocation rules for group-sequential binary response clinical trials
CSSM 2003/01 Coad, D. S. & Ivanova, A.
The use of the triangular test with response-adaptive treatment allocation

2002 Research Reports

CSSM 2002/12 Broom, M. & Ruxton, G.D.
A generalised modelling framework for conspecific brood parasitism
CSSM 2002/11 Broom, M., Tang, Q. & Waxman, D. (postscript file)
Mathematical analysis of a model describing evolution of an asexual population in a changing environment
CSSM 2002/10 Luther, R.M. & Broom, M.
Convergence to an equilibrium state in kleptoparasitic populations
CSSM 2002/09 Biswas, A. & Coad, D.S.
A general multi-treatment adaptive design for multivariate responses
CSSM 2002/08 Briggs, A.J., Atherton, D.P. & Bather, J. (postscript file)
Loss of information in data fusion
CSSM 2002/07 Morgan, C.C.
Sample size re-estimation in group-sequential response-adaptive clinical trials
CSSM 2002/06 Bather, J. (postscript file)
A comparison of data fusion methods
CSSM 2002/05 Coad, D.S. & Ivanova, A.
Sequential adaptive urn designs with elimination for comparing K³ 3 treatments
CSSM 2002/04 Ruxton, G.D. & Broom, M. (pdf file)
Intraspecific brood parasitism can increase the number of eggs an individual lays in its own nest
CSSM 2002/03 Broom, M., Borries, C. & Koenig, A. (pdf file)
Infanticide and infant defense by males - modeling the conditions in primate multi-male groups
CSSM 2002/02 Broom, M. (dvi file)
Evolutionary games with variable payoffs
CSSM 2002/01 Broom, M. (dvi file)
A unified model of dominance hierarchy formation and maintenance

2001 Research Reports

CSSM 2001/10 Serroukh, A.
User guide for target tracking simulation software
CSSM 2001/09 Morgan, C. C.
Estimation following group-sequential response-adaptive clinical trials
CSSM 2001/08 Broom, M. & Ruxton, G. D.
Evolutionary stable kleptoparasitism: consequences of different prey types
CSSM 2001/07 Ward, A.J.W., Hoare, D.J., Couzin, I.D., Broom, M. & Krause, J.
The effects of parasitism and body length on positioning within wild fish shoals
CSSM 2001/06 Bather, J.
Tracking and data fusion
CSSM 2001/05 Serroukh, A. & Atherton, D.P.
Tracking manoeuvring targets
CSSM 2001/04 Haigh, J. & Vaughan Williams, L.
Index betting for sports and stock indices
CSSM 2001/03 Haigh, J.
The statistics of lotteries.
CSSM 2001/02 Shieh, N-R. & Taylor, S.J.
Multfractal spectra of branching measure on a Galton-Watson tree
CSSM 2001/01 Pakes, A.G.
Quasi-stationary measures for discrete-state Markov processes where absorption may not be certain

2000 Research Reports

CSSM 2000/06 Hu, X & Taylor, S. J. (postscript file)
Multifractal structure of a general subordinator
CSSM 2000/05 Haigh, J. & Roters, M.
Optimal strategy in a dice game
CSSM 2000/04 Proctor, C.J., Broom, M. & Ruxton, G.D.
Modelling antipredator vigilance and flight response in group foragers when warning signals are ambiguous
CSSM 2000/03 Broom, M. & Ruxton, G.D.
Evolutionarily stable brood parasitism
CSSM 2000/02 Coad, D.S. & Ivanova
Bias calculations for adaptive urn designs
CSSM 2000/01 Broom, M. & Cannings, C.
Modelling dominance heirarchy formation as a multi-player game

1999 Research Reports

CSSM 99/06 Haigh, J.
The Kelly criterion in spread betting
CSSM 99/05 Ruxton, G.D., Broom, M. & Colegrave, N.
Are unusually coloured eggs a signal to potential conspecific brood parasites?
CSSM 99/04 Proctor, C.J., Broom, M. & Ruxton, G.D.
A communication-based spatial model of antipredator vigilance
CSSM 99/03 Bather, J. A. & Petkau, A. J.
A simple model for drug screening programs
CSSM 99/02 Broom, M., Cannings C. & Vickers, G. T.
A sequential-arrivals model of territory acquisition II
CSSM 99/01 Proctor, C. J. & Broom, M.
A spatial model of anti-predator vigilance

1998 CSSM Research Reports


CSSM 98/13 Murat Efe, John A. Bather & Derek P. Atherton
An adaptive Kalman filter with sequential rescaling of process noise adaptive Kalman filter with sequential rescaling of process noise, 15 pp.
CSSM 98/12 D. Steve Coad, Z. Govindarajulu
Corrected confidence intervals following a sequential adaptive clinical trial with binary responses, 20 pp.
CSSM 98/11 Mark Broom , Graeme D. Ruxton
Hawk-Dove contests where competitors differ in relative ability, 17 pp.
CSSM 98/10 S. Y. Novak
Generalised kernel density estimator, 18 pp.
CSSM 98/09 John Bunge, Charles M. Goldie
Record sequences and their applications, 31 pp.
CSSM 98/08 Mark Broom
Asymptotic properties and bounds upon the number of local maxima of a constrained quadratic form, 26 pp.
CSSM 98/07 S. Yu. Novak
Berry-Esseen inequalities for a ratio of sums of random variables, 22 pp.
CSSM 98/06 John Haigh
Optimal strategy in a dice game, 6 pp.
CSSM 98/05 Graeme D. Ruxton, Mark Broom
Kleptoparasitism as a war of attrition, 12 pp.
CSSM 98/04 John Haigh
Index betting and odds, 13 pp.
CSSM 98/03 John Haigh
The mathematics of casino stud poker, 21 pp.
CSSM 98/02 Derek R. Robinson
Fitting a stochastically increasing distribution to mutant frequency data using the EM algorithm, 11 pp.
CSSM 98/01 S. Yu. Novak
On the limiting distribution of extremes, 21 pp.

1997 CSSM Research Reports


CSSM 97/13 Mark Broom, Chris Cannings, Glenn T. Vickers
Evolution in knockout conflicts, 51 pp.
CSSM 97/12 Mark Broom, Graeme D. Ruxton
Evolutionarily stable stealing: game theory applied to parasitism, 23 pp.
CSSM 97/11 Narn-Rueih Shieh, S. James Taylor
Logarithmic multifractal spectrum of stable occupation measure, 13 pp.
CSSM 97/10 P. James Browne
A simple strategy for foreign exchange trading, 24 pp.
CSSM 97/09 Mark Broom
The pattern space of evolutionarily stable strategies, 21 pp.
CSSM 97/08 Charles M. Goldie, Ross A. Maller
Generalized densities of order statistics, 23 pp.
CSSM 97/07 Mark Broom, Chris Cannings, Glenn T. Vickers
A sequential-arrivals model of territory acquisition, 50 pp.
CSSM 97/06 Mark Broom, Graeme D. Ruxton
Modelling response in vigilance rates to arrivals to and departures from a group of foragers, 38 pp.
CSSM 97/05 Mark Broom, Chris Cannings, Glenn T. Vickers
Multi-player matrix games, 27 pp.
CSSM 97/04 Michael Woodroofe, D. Stephen Coad
Corrected confidence sets for sequentially designed experiments, II: examples, 30 pp.
CSSM 97/03 Charles M. Goldie, Ross A. Maller
Stability of perpetuities, 20 pp.
CSSM 97/02 D. Stephen Coad, William F. Rosenberger
A comparison of the randomised play-the-winner rule and the triangular test for clinical trials with binary responses, 15 pp.
CSSM 97/01 John A. Bather
A conversation with Herman Chernoff, 38 pp.

1996 CSSM Research Reports

 

CSSM 96/06 Charles M. Goldie, Claudia Klüppelberg
Subexponential distributions, 25 pp.
CSSM 96/05 D. Stephen Coad, Michael B. Woodroofe
Approximate bias calculations for sequentially designed experiments, 34 pp.
CSSM 96/04 John Haigh
The statistics of the National Lottery, 36 pp.
CSSM 96/03 Edwin A. Perkins, S. James Taylor
The multifractal structure of super-Brownian motion, 8 pp.
CSSM 96/02 G. Brian Trustrum, Kathleen Trustrum
Tests for special causes on the Shewhart control chart, 17 pp.
CSSM 96/01 John A. Bather
Bounds on optimal stopping times for the American Put, 19 pp.