Mathematics and Statistics

Mathematics and Statistics

List of Masters Theses

Theses from 2010–Current

#DateNameTitleSupervisor
 2010Monica ChenEffects on Analysis arising from Confidentialising Data using Random RoundingAssoc. Prof. J. Brown

Theses from 2005–2009

#DateNameTitleSupervisor
 2009Ashley Lightfoot*Embeddable spherical circle planesDr G. Steinke
 2009Jason Bentley*Exact Markov Chain Monte Carlo and Bayesian Linear RegressionDr D. Lee
 2009Joshua CollinsRekernelisation algorithms in hybrid phylogeniesAssoc. Prof. C. Semple
 2009Matthew Hendtlass*Aspects of constructive dynamical systemsProf. D. Bridges
 2009Bronwyn RideoutPappus reborn. Pappus of Alexandria and the changing face of analysis and synthesis in late antiquityDr C. Montelle
 2009Michael SnookEvolution of tandemly repeated sequencesAssoc. Prof. C. Semple
 2008Timothy CandyA Study of Besov-Lipschitz and Triebel-Lizorkin Spaces Using Non-smooth KernelsDr Q. Bui
 2008Andrew RichensDetecting change points in time series using the Bayesian approach with perfect simulationDr D. Lee
 2006QingLin HuTemporal variation and inter-relationship of movement and resource selection of red deer (Cervus Elaphus) with respect to climate: a case studyDr I.L. Hudson
1092006Carla Siobhan Meurk*Causally appropriate graphical modelling of time series with applications to Economics Ecology and Environmental ScienceDr J. Brown,
Dr M. Reale
1082005Anton van Essen*A study of the Calderon representation formula and its applicationsDr H.Q Bui,
Assoc. Prof. R.K. Beatson

* With Distinction or Honours

Theses from 2000–2004

#DateNameTitleSupervisor
1072004Philip DanielSupertree methods: Some new approaches.Prof. M.A. Steel,
Assoc. Prof. C. Semple
1062004Tobias Thierer*Generalized and directed characters in phylogeneticsProf. M. Steel
1052001Katrina Daish*An Evaluation of Distance Sampling for PlantsDr. J.A. Brown
1042001Hui–Ching Chen*Characterization of Wavelets and Construction of Wavelet Sets.Dr H.Q. Bui
1032000Tim McLennan*Improving the Performance of a Fast Multipole Method for Thin–plate SplinesAssoc. Prof. R.K. Beatson
1022000Ryurick Hristev*Matrix Techniques in Artificial Neural NetworksAssoc. Prof. R.K. Beatson
1012000James McGowanEffects of Particulate Air Pollution on Cardiorespiratory Admissions in Christchurch, NZDr. E. Chacko
1002000David Byatt*Convergent Variants of the Nelder–Mead AlgorithmDr. C.J. Price,
Dr. I.D. Coope
992000Leland McInnes*Algorithms in invariant theory and quasi–minimal bracket expressionsDr M.S. Hickman
982000Leng Leng LimComputer–aided Teaching and TestingDr. E. Chacko,
Mr R.L. Broughton
972000Kirsten HarrildAn investigation into the use of acoustic pingers to prevent Hector’s dolphin entanglement in gill netsDr. J.A. Brown
962000Alan JacksonGlobal Optimisation Methods For Oceanic Acoustic ModellingDr. C.J. Price
952000Issarest Weeraprajak*A Comparative Study of Time–Series Forecasting Applied to Stock Market Price.Dr. E. Chacko

* With Distinction or Honours

Theses from 1995 – 1999

DateNameTitleSupervisor
941999Kirsten NissenAccelerated Life Testing of Tires – Computational Posterior Estimation.Dr. F.R. Lad
931999Clemency Williams*The Analytic Art: Fran?ois Vi?te and the Development of Mathematical Analysis.Dr. J. Hannah,
Dr. P. Catton
921998Ben Allen*Subtree Transfer Operations and their Induced Metrics on Evolutionary Trees.Dr. M.A. Steel
911998Matthew Jackson*Dimension Theory in the Context of Fuzzy Topological Spaces.Assoc. Prof. N.A. Watson
901998Heather JenkinsEigenvalue Problems from Electronic Structure Theory.Dr. J. Hannah
891998Isaac FreemanA Modular System for Constructing Dynamical Systems.Dr. M.S. Hickman
881997Andy McKenzie*Modelling Spiral Waves in Xenopus Laevis Oocyte.Dr. A.J. Sneyd
871997Chris Cloughley*A Partial Differential Equation Model for Predicting the Spatiotemporal Movement of a Brushtail Possum (Trichosurus Vulpecula) Population.Dr. A.J. Sneyd
861997Chris Tuffley*Trees and Ps and Things that Sneeze: Markov Process Models of Site Substitution.Dr. M.A. Steel
851997Adrian JarvisFunction Minimisation in the Presence of Noise using Methods that do not require Gradient Information.Dr. I.D. Coope
841996Wendy StrattonWeighted Young’s Inequalities.Dr. H.Q. Bui
831995William Joyce*A One–Dimensional Generalised Autonomous Homogeneous Kuramoto–Sivashinsky Equation.Dr. D.J. Wall
821995Julian Visch*Fuel Consumption Models for Traffic Modelling by the Canterbury Regional Council.Dr. E. Chacko

* With Distinction or Honours

Theses from 1990 – 1994

DateNameTitleSupervisor
811994Susan Lindsay*Prediction of the Diameter Distribution of Forest Stands.Dr. G.R. Wood
801994Andrew DevlinQuality Improvement in Polystryrene Block Production.Dr. G.R. Wood
791993Steve McDowall*Constructing Infinite–Dimensional Polytopes.Dr. G.R. Wood
781993Philip Schlüter*A Hierarchical Bayesian Interpretation of Motor Vehicle Accidents.Prof. J.J. Deely
771992Easwaran BalakrishnanAn Analysis of Computational Methods for the Calculation of Quadratic Function Approximations.Dr. A.W. McInnes
761992Jesse KokauaScored Sequential Forecasting of the New Zealand Foreign Exchange Rate Using Mixture Structural Distributions.Dr. F.R. Lad
751992Grace JohnsonScored Sequential Forecasting of the New Zealand Foreign Exchange Rate Using Mixture ARMA Distributions.Dr. F.R. Lad
741990Sathiyandra GurusinghamBayesian Forecasting for the General Linear Model.Prof. J.J. Deely

* With Distinction or Honours

Theses from 1985 – 1989

DateNameTitleSupervisor
731988Leon BealeChaos, Strange Attractors and Bifurcations in Dissipative Dynamical Systems.Dr. P.J. Bryant
721988John Schwartfeger Dr. R.K. Beatson
711988Chris Price*Bidiagonal Quadratic ProgrammingDr. I.D.Coope
701987Richard Brookes*Uniform Approximation from Tchebycheff SystemsDr. A.W. McInnes
691987J. SchwartzfegerParametric curve fitting: a surveyDr. R.K. Beatson
681987Leonard Horwood*Aspects of the Theory and Methodology of Covariance Structure Modelling with Applications to Social Science Data.Dr. M.H. Smith
671987Tim MarshallConstructive Ordinals and Related Topics.Dr. R.A. Bull
661986Paul RhodesUnsteady Low Reynolds Number Flow to a Sink on an Infinite Plane.Prof. B.A. Woods
651985John Connolly*Inverse Problems for an Elliptic Equation.Dr. D.J. Wall
641985Sarath PeirisA New Preference Function to Analyse Repeated Measurements Data.Prof J.J. Deely

* With Distinction or Honours

Theses from 1980 – 1984

DateNameTitleSupervisor
631983Michael Steel*Classifying Spaces and their Algebraic Topology.Dr. W.P. Baritompa
621983Gerald JeevaratnamA Survey of the Recent Applications of Lifting Line Theory to Subsonic and Transonic Slender Wings of Large Aspect Ratio.Prof. B.A. Woods
611982Alan Thompson*Decomposable 2–(11, 5, 4) and 3–(12, 6, 4) Designs.Dr. D.R. Breach
601982Alistair StormComputational Techniques for Polynomial and Linear Regression.Dr. I.D. Coope
591982Paul Matthews*Lp Solution of Overdetermined Systems of Linear Equations.Dr. I.D. Coope
581981Inessa Levi*Transformation Semigroups and the Inner Automorphism Property.Dr. G.R. Wood
571981Gregg Kelly*Three Optimisation Problems in Mathematical Statisics.Dr. G.R. Wood
561981Timothy DalbyRegularly Ordered Banach Spaces.Dr. P.F. Renaud
551981Eva ChanChess Placement Problems: A Survey.Dr. D.R. Breach
541981Kooi Kee HockDynamics of a Bubbly Mixture.Prof. B.A. Woods
531981Antony WhittingtonSolution Generation by Symmetry Transformations of the Stationary Axisymmetric Field Equations.Dr. W.B. Wilson
521980Yang Chin PingA Treatise on Quasi–Newton Methods and Algorithms with Self– Scaling.Dr. I.D. Coope
511980John LileyTopology of Certain Stationary Space–Times.Prof. R.P. Kerr
501980Stanley FreemanA Study of Minimum Sample Size for Central Limit Thoerem Estimation.Prof. J.J. Deely

* With Distinction or Honours

Theses from 1975 – 1979

DateNameTitleSupervisor
491978Prapasri AsawakunWaves in Stratified Fluids.Prof. B.A. Woods,
Dr. P.J. Bryant
481978Hasmukh Lal MorarjiNATEP: an interactive computer aid to teaching numerical analysisMr Bob Broughton
471978Garry Newsam*A Study of Fractional Calculi.Dr. A.W. McInnes
461978Patrick Van BerkelTwo–Dimensional Interpolation.Dr. A.W. McInnes
451977Roderick Ball*Morse Theory with Applications and Extensions.Dr. W.P. Baritompa
441977Alan TownleyHarmonic Analysis on Locally Compact Abelian Groups.Dr. P.F. Renaud
431977Alistair GrayTopological Models in Second Order Arithmetic.Dr. R.A. Bull
421977Adrian Abraham*The Semantics of Classical Relevant Logics.Dr. R.A. Bull
411977Jeremy HardingObtaining Character Tables from Permutation Characters of the Symmetric Group.Dr. K.C. O’Meara
401976Alex LaksSpacetime Theory.Prof. R.P. Kerr
391976Dennis BarryThe Mathematical Aspects of Visit Planning.Dr. D.F. Robinson
381976Michael RevellGeneral Considerations of Wave Motion in Stratified Fluids.Dr. P.J. Bryant
371976John PryorTwo Layer Flow in a Channel.Dr. P.J. Bryant
361975Lo Ming HuaMinimal Path–Finding Problem under Incomplete Information.Dr. W.P. Baritompa
351975Robert GarnettA Study of Mathematical Models Describing the Physics of the Solar Wind.Prof. B.A. Woods
341975Elaine CooperEmbeddings, Graphs, Sufaces.Dr. D.F. Robinson
331975Kelly Mara*Rates of Convergence in Empirical Bayes Decision Problems.Prof. J.J. Deely
321975Richard Beatson*Number Theoretic Numerical Integration.Dr. A.W. McInnes
311975Michael MobleyA Selection Procedure for Samples with Missing Data from Multivariate Populations.Prof. J.J. Deely
301975Howard Edwards*Multiple Decision Procedures for Selecting the Best of K Normal Populations.Prof. J.J. Deely
291975Andrew Laing*The Flow of Stratified Fluids Past Obstacles.Dr. P.J. Bryant
281975William OsmersSome covering Problems in Graph TheoryDr. D.F. Robinson

* With Distinction or Honours

Theses from 1970 – 1974

DateNameTitleSupervisor
271974Thain–Sim LowSome Algorithms for the Travelling Salesman Problem.Dr. D.F. Robinson
261974John Cleary*Automatic Theorem Proving in Non–Classical Logics.Dr. R.A. Bull
251974Edward DawesVariable Reduction Techniques in Multiple Linear Regression.Prof. J.J. Deely
241974Nguyen Kinh*A Study of Sequential Design Problems.Prof. J.J. Deely
231974Vere SmythA Survey of Attempts at the Approximation of Quantum Theory.Dr. P.F. Renaud
221973Graham WeirThe Equations of Motion in General Relativity.Prof. R.P. Kerr
211973Glenn Colman*Modal Polyadic Algebras.Dr. R.A. Bull
201973Chua Cheng LaikShock Wave Structure and some of its Dynamical Effects.Prof. B.A. Woods
191972Malcolm McConnellNon–Linear Dispersive Waves in Shallow Water.Dr. P.J. Bryant
181972Philip HenryBayesian Confidence Intervals in the Exponential Case.Prof. J.J. Deely
171972Peter Heffernan*Trees.Dr. D.F. Robinson
161972Hong–Kee YinThe General Theory of Best Approximation in Real Normed Linear Spaces.Dr. T.O. To
151971George BookerOn Vector Lattices.Dr. P.F. Renaud
141970Alan CauserA Core Resident Fortran Compiling System for an IBM360 Computer.Dr. R.L. Kruse
131970David JackA Study of Translational Gravity Wave Theory.Dr. P.J. Bryant

* With Distinction or Honours

Theses from 1965 – 1969

DateNameTitleSupervisor
121969Colin SutherlandMeasure Theory and Von Neumann Algebras.Prof. G.M. Petersen
111969Robert McKibbinFinite Amplitude Waves in Stratified Fluids.Dr. P.J. Bryant
101966Natalia ZotovWaveguides.Mr. R.S. Long,
Mr. R.H.T. Bates

Theses from 1960 – 1965

DateNameTitleSupervisor
91964William GibsonPertubation Methods in the Quantum Mechanics of Many–Particle Systems.Prof. D.F. Lawden
81964David ClementsOn Some Methods for the Numerical Solution of Ordinary Differential Equations.Dr. J.C. Butcher
71963Graeme CrothallA Survey of Linear Programming.Assoc. Prof. W.R. Andress
61963Evan BydderNon–Linear Programming.Assoc. Prof. W.R. Andress
51962William TuckQuantum Theory.Prof. D.F. Lawden
41962Richard LaneSome Discontinuity Properties of Regular Stationary Markov Processes.Assoc. Prof. W.R. Andress
31962Wahidullah KhanAlgebra of Classes.Assoc. Prof. W.R. Andress
21962Gillian BrownFinsler Spaces.Assoc. Prof. W.R. Andress
11962Dean HalfordOn the Cosmological Problem.Prof. D.F. Lawden