Research Reports
The School of Mathematics and Statistics at Canterbury University started a report series in November 1976, these reports were numbered from one onwards. Starting from 2000 we have adopted a new numbering system with the year of the paper followed by its number in that year e.g. 2000/1. We include a full research reports listing and below we list research reports available for download as PDFs. Paper copies may be able to be obtained from their respective authors, you will need to contact them directly.
2006
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UCDMS 2006/1
On a Conjecture of J.C. Butcher and H. Podhaisky
I.D. CoopeView the abstract [PDF - 50 KB]
2005
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UCDMS 2005/8
Estimation of errors associated with the calculation of carbon in Kyoto Forests
Woollons, R.C., Brown, J.A., and Manley, B.R.View the report [PDF - 101 KB]
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UCDMS 2005/7
Estimating Uncertainty in the Kyoto Compliant Carbon Accounting System for New Zealand’s Planted Forests
Brown, J.A., Woollons, R.C., and Manley, B.R.View the report [PDF - 78 KB]
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UCDMS 2005/6
Approximation and Spanning in the Hardy Space, by Affine Systems
H.-Q. Bui and R.S. Laugesen -
UCDMS 2005/4
Factoring bivariate distributions
Frank Lad
2004
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UCDMS 2004/13
Extending the Limits of Supertree Methods
Magnus Bordewich, Gareth Evans and Charles Semple -
UCDMS 2004/12
Constructive order completeness
Marian Baroni -
UCDMS 2004/11
On the phi and psi transforms of Frazier and Jawerth
H.-Q. Bui and M. Paluszynski -
UCDMS 2004/6
Embeddings of Beppo–Levi spaces in Hölder–Zygmund spaces and a new method for radial basis function interpolation error estimates
R.K. Beatson, H.Q. Bui and J. Levesley -
UCDMS 2004/3
Exploiting problem structure in pattern–search methods for unconstrained optimization
C.P. Price and P. Toint
2003
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UCDMS 2003/21
Reassessing Accuracy Rates from Median Decision Procedures
Andrea Capotorti and Frank Lad -
UCDMS 2003/19
Mollification formulas and implicit smoothing
R.K. Beatson and H.Q. Bui -
UCDMS 2003/17
Flood Frequency Analysis of the Waimakariri River
Robert Ware and Frank Lad -
UCDMS 2003/16
Approximation of Posterior Means and Variances of the Digitised Normal Distribution using Continuous Normal Approximation
Robert Ware and Frank Lad -
UCDMS 2003/15
Approximating the Distribution for Sums of Products of Normal Variables
Robert Ware and Frank Lad -
UCDMS 2003/10
The structure of the 3–separations of 3–connected matroids
J. Oxley, C. Semple and G. Whittle -
UCDMS 2003/9
Modelling cell death in human tumour cell lines exposed to the anticancer drug paclitaxel
Britta Basse, Bruce C. Baguley, Elaine S. Marshall, Wayne R. Joseph, Bruce van Brunt, Graeme Wake, David J.N. Wall -
UCDMS 2003/8
On a cell–growth model for plankton
B. Basse, G.C. Wake, D.J.N. Wall and B. Van Brunt -
UCDMS 2003/7
A Technical Note on the Logitnormal Distribution
Patrizio Frederic and Frank Lad -
UCDMS 2003/6
Learning from the Probability Assertions of Experts
Mario Di Bacco, Patrizio Frederic and Frank Lad -
UCDMS 2003/5
Probability: the language of the people! ... the language of science??
Frank Lad -
UCDMS 2003/4
A phase transition for a random cluster model on phylogenetic tress
E. Mossel and M. Steel -
UCDMS 2003/3
The Space of Edge-Weighted Trees is a Euclidean Cell for Trees With Exactly One Interior Vertex
W. Baritompa -
UCDMS 2003/1
Performance of various BFGS and DFP implementations with limited precision 2nd order info
D. Byatt, I.D. Coope and C.J. PriceView the abstract
2002
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UCDMS 2002/9
Signal Resoration after Transmission thru an Advective and Diffusive Medium
Paul R. Shorten and David J.N. Wall -
UCDMS 2002/8
A Mathematical Model for Analysis of the Cell Cycle in Human Tumors
Britta Basse, Bruce C. Baguley, Elaine S. Marshall, Wayne R. Joseph, Bruce van Brunt, Graeme Wake and David J.N. Wall -
UCDMS 2002/6
Casual diagrams for structural VAR models
Marco Reale and Granville Tunnicliffe Wilson -
UCDMS 2002/3
RBF Collocation
C.T. Mouat and R.K. Beatson
2001
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UCDMS 2001/6
Some properties of the boundary over distance preconditioner for radial basis function interpolation
C.T. Mouat and R.K. Beatson -
UCDMS 2001/5
Tree reconstruction from multi-state characters
Charles Semple and Mike Steel -
UCDMS 2001/4
On matroids of branch-width three
Rhiannon Hall, James Oxley, Charles Semple and Geoff Whittle -
UCDMS 2001/2
Strong Continuity Implies Uniform Sequential Continuity
Douglas Bridges, Hajime Ishihara, Peter Schuster and Luminita Vîta -
UCDMS 2001/1
Developments in Multivariate Time Series Modeling
Granville Tunnicliffe Wilson, Marco Reale and Alex S. Morton
2000
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UCDMS 2000/17
Trace Inequalities with Applications to Orthogonal Regression and Matrix Nearness Problems
Ian Coope and Peter Renaud -
UCDMS 2000/16
Implies Regulated: A Constructive Proof
Douglas Bridges and Ayan Mahalanobis -
UCDMS 2000/15
Apartness Spaces as a Framework for Constructive Topology
Douglas Bridges and Luminita Vîta (Dediu) -
UCDMS 2000/14
A First-order Constructive Theory of Nearness Spaces
Luminita Vîta (Dediu) and Douglas Bridges -
UCDMS 2000/12
Positive Bases in Numerical Optimization
I.D. Coope and C.J. Price -
UCDMS 2000/11
A Simple Constructive Proof of Kronecker's Density Theorem
Douglas BridgesView the report [PDF - 68 KB]
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UCDMS 2000/10
Implementing Pure Adaptive Search with Grover's Quantum Algorithm
D. Bulger, W.P. Baritompa and G.R. Wood -
UCDMS 2000/9
Assessing the Value of a Second Opinion
Frank Lad and Mario DiBacco -
UCDMS 2000/6
Residual trap-catch methodology for low-density possum populations (Part I - Improving the precision of possum population density estimates)
J.A. Brown and M.D. ThomasView the report [PDF - 152 KB]
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UCDMS 2000/5
Possum monitoring using raised leg-hold traps
Malcolm D. Thomas and Jennifer A. Brown -
UCDMS 2000/4
Identification of vector AR models with recursive structural errors using conditional independence graphs
M. Reale and G.T. Wilson -
UCDMS 2000/3
The sampling properties of conditional independence graphs for structural vector autoregressions
M. Reale and G.T. Wilson
Before 2000
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188
A direct search conjugate directions algorithm for unconstrained minimization
I.D. Coope and C.J. Price -
187
A Hodgkin-Huxley model exhibiting bursting oscillations
Paul R. Shorten and David J.N. Wall -
186
The inward rectifier in a model of corticotroph electrical activity
Paul R. Shorten, A. Bruce Robson, Alan E. McKinnon and David J.N. Wall -
185
Electro-permeabilization of a prolate spheroidal model of biological cells
David J.N. Wall, Andrew T. Shanks and Patrick Bodger -
180
On the Convergence of Grid Based Methods for Unconstrained Optimization
I.D. Coope and C.J. Price -
178
On the predictive use of insufficient statistics: an intriguing family of distributions
Frank Lad and Romano Schozzafava -
173
A Role of the Endoplasmic Reticulum in a Mathematical Model of Corticotroph Action Potentials.
Paul R. Shorten, Andrew P. LeBeau, A. Bruce Robson, Alan E. McKinnon and David J.N. Wall -
95
Using the Fundamental Theorem of Prevision to Identify Coherency Conditions for Finite Exchangeable Inference
Frank Lad, John Deely and Andrea PiesseView the report [PDF - 2 MB]