Mathematics and Statistics

Mathematics and Statistics

List of Doctoral Theses

Theses from 2010–Current

#DateNameTitleSupervisor
 2010Scott GraybillModelling Nephron Dynamics and Tubuloglomerular FeedbackDr A. James,
Dr M. Plank
612010Beata FallerCombinatorial and Probabilistic Methods in Biodiversity TheoryAssoc. Prof. C. Semple,
Prof. M. Steel
 2010Xin ZhaoExtreme Value Modelling with Application in Finance and Neonatal ResearchAssoc. Prof. J. Brown,
Dr M. Reale

Theses from 2005–2009

#DateNameTitleSupervisor
 2009Michael LangtonRadial Basis Functions Applied to Integral Interpolation, Piecewise Surface Reconstruction and Animation ControlAssoc. Prof. R. Beatson
 2009Brendon BradleyStructure-Specific Probabilistic Seismic Risk AssessmentDr D. Lee
 2009Mareike FischerNovel mathematical aspects of phylogenetic estimationProf. M. Steel
602009Kyoko FukudaComputer-enhanced knowledge discovery in environmental scienceAssoc. Prof. J. Brown,
Dr M. Reale
 2009Niels GresnigtRelativistic Physics in the Clifford Algebra Cl (1,3)Dr P. Renaud
 2009Nicole KleinstreuerMathematical Modelling of Renal AutoregulationDr M. Plank
 2008Michael ChappellDevelopments in the Use of Diffusion Tensor Imaging Data to Investigate Brain Structure and Connectivity 
 2008Issarest WeeraprajakFaster adaptive network based fuzzy inference systemDr E. Chacko
 2008Hannes DienerCompactness under constructive scrutinyProf. D.S. Bridges
 2008Zhaojing GongParametric potential outcome survival models for causal inferenceProf. M. Steel
 2008Klaas HartmanBiodiversity conservation and evolutionary modelProf. M. Steel
 2008William ReaThe application of regression tress to problems in time series analysisAssoc. Prof. J. Brown,
Dr M. Reale
582008Peter HumphriesCombinatorial Aspects of Leaf-Labelled TreesAssoc. Prof. C. Semple,
Prof. M. Steel
 2007Jessica LinRobust Modelling and Control of the Glucose-Insulin Regulatory System for Tight Glycemic Control of Critical Care Patients 
572007Ronald BeggCell population growth modelling and nonlocal differential equationsProf. D.J. Wall,
Prof. G.C. Wake
562005Norhayati HamzahA bifurcation analysis of a multi–compartment phytoplankton zooplankton nutrient interactionProf. G.C. Wake
[Prof. R. Hosking,
Dr P. Tritscher,
Dr A. Ross]
552005David ByattFrame based algorithms for derivative free optimizationDr C. Price,
Assoc. Prof. I.D. Coope

Theses from 2000–2004

#DateNameTitleSupervisor
542004Marion BaroniThe constructive theory of Riesz spaces and applications in Mathematical EconomicsProf. D.S. Bridges,
Dr S.L. Vita,
[Prof. J. Copeland]
532004Mihaela BaroniHybrid Phylogenies: a graph based approach to represent reticulate evolutionProf. M. Steel,
Dr C. Semple
522004Robin TurnerIndependent component analysis of personality and symptoms of depression and statistical parametric mapping of personality and brain functionDr I.L. Hudson
[Prof. P. Joyce]
512004Ulises CarcamoMathematics applied to finance: regularities in the VIX and the distributions of the option’s payoffProf G.C. Wake,
Prof. E. Maberly,
Assoc. Prof. I.D. Coope
502004Bernie TsangModelling of mechanisms causing wool crimpProf. G.C. Wake,
[Dr C. Marsh,
Dr B. Robson,
Dr D. Cottle]
492004Murthy Narasimha MittintyNearest neighbour imputation and variance estimation methodsDr E. Chacko
482004Beverley HornMathematical optimization of diver descent profiles with constant risk of decompression illnessProf. G.C. Wake,
[Assoc. Prof. M. Roberts]
472004Michelle DalrymplePoisson mixture methods and change point analysis to study the relationship between temporal profiles of Sudden Infant Death Syndrome and climateDr I.L. Hudson,
[Assoc. Prof. R. Ford]
462002Shinji YamamotoLinear and nonlinear integral equation population modelsAssoc. Prof. D.J. Wall,
Prof. G.C. Wake
452003Gabriela PopaA Theoretical Constructivisation of Mathematical Economics.Prof. D.S. Bridges
442003Alistair SmithOptimal Marine Farm Structures.Prof. G. C. Wake
[Dr. A. Ross; Dr. V. Nikora]
432003Robert WareThree studies in numerical Methods for statistical approximations.Dr. F.R. Lad
[Dr. I.L. Hudson]
422001Cameron MouatFast Algorithms and Preconditioning Techniques for Fitting Radial Basis Functions.Assoc. Prof. R.K. Beatson
412001Robin Tu’akilaumea (Havea)Constructive Spectral and Numerical Range Theory.Prof. D.S. Bridges
402001Chris HannRecognising two planar objects under a projective transformation.Dr. M.S. Hickman
392001Andy McKenzieStochastic Speciation Models for Evolutionary Trees.Assoc. Prof. M.A. Steel
382000Paul ShortenMathematical Models of Pituitary Corticotrophs and Perifusion experiments.Assoc. Prof. D.J. Wall
372000Jon CherrieFast evaluation of radial basis functions: Theory and application.Assoc. Prof. R.K. Beatson
362000Grace JohnsonA simulation study of Individuals' Price Expectations and Market Processes.Dr F.R. Lad
352000Taweesak SiripornpibulSurvey Designs and Compensation Methods for Nonresponse Problems.Dr E. Chacko
[Dr J.A. Brown]
342000Simona DediuThe Constructive Theory of Operator Algebras.Prof. D.S. Bridges
332000Britta BasseCase Studies in Mathematical Modelling for Biological Conservation.Prof. G.C. Wake
[Dr. J.A. McLennan]

Theses from 1995 – 1999

#DateNameTitleSupervisor
321999Therese BousteadUndergraduate Difficulties: Algebraic Skills and Mathematical Comprehension.Dr. J. Hannah
311999James O–MalleySome New Considerations for the Statistical Analysis of an Assay.Prof. J.J. Deely
Dr. M.H. Smith
301998Chris StephensGlobal Optimization. Theory versus Practice.Dr. W. Baritompa
291997David BryantBuilding Trees, Hunting for Trees and Comparing Trees. Theory and Methods in Phylogenetic Analysis.Dr. M.A. Steel
281997Philip SchluterIdentification of Hazardous Motor Vehicle Accident Sites: Some Bayesian Considerations.Prof. J.J. Deely
271996Andrea PiesseCoherent Predictive Probabilities.Dr. F.R. Lad
[Prof. J.J. Deely]
261996Andrew HillSpecializations of Generalised Drinfel’d–Sokolov Heirarchies.Dr. M.S. Hickman
251995Baoping ZhangTopics in Lipschitz Global Optimization.Dr. G.R. Wood

Theses from 1990 – 1994

#DateNameTitleSupervisor
241993Graeme GuthrieMiura Transformations and Symmetry Groups of Differential Equations.Dr. M.S. Hickman
231992Chris PriceNonlinear Semi–Infinite Programming.Dr. I.D. Coope
221990John ConnollyNonlinear Methods for Inverse Problems.Dr. D.J. Wall

Theses from 1985 – 1989 id="t1990"

#DateNameTitleSupervisor
211989Richard BrookesThe Quadratic Hermite–Pad? Approximation.Dr. A.W. McInnes
201987Ingrid RinsmaExistence Theorems for Floorplans.Dr. D.F. Robinson
191985Alan ThompsonA Census of 3–(12,6,4) and 2–(11,5,4) Designs.Dr. D.R. Breach

Theses from 1980 – 1984

#DateNameTitleSupervisor
181984Inessa LeviAutomorphisms and Range Families of Transformation Semigroups.Dr. G.R. Wood
171983Philip SharpUnsteady Waves on an Open Two Layer Fluid.Dr. P.J. Bryant
161982Loi Soh LoiQuadratic Approximation and its Application to Acceleration of Convergence.Dr. A.W. McInnes
151980Peter HeffernanLinear Location Estimators: The Dependence of their Quality on the Shape of the Probability Density and Their Robustness.Prof. J.J. Deely

Theses from 1975 – 1979

#DateNameTitleSupervisor
141979Francis NolanMultialgebras and Related Structures.Dr. R.A. Bull
131979Kelly MaraEmpirical Bayes with a Changing Prior.Prof. J.J. Deely
121978Howard EdwardsBayes Sequential Design Procedures: Theory and ApplicationsProf. J.J. Deely
111978Andrew LaingStably Layered Fluids.Dr. P.J. Bryant
101977John HannahMaximal Quotient Rings of Prime Nonsingular Group Algebras.Dr. K.C. O'Meara
91977Richard BeatsonDegree of Approximation Theorems for Approximation with Side Conditions.Dr. A.W. McInnes
81976Graham WeirType D Spaces and Quasi–DiagonalizabilityProf. R.P. Kerr
71976Murray SmithSome Best Choice Problems with Uncertain Recall.Prof. J.J. Deely
61975Graham LoganClosure Algebras.Dr. R.A. Bull

Theses from 1970 – 1975

#DateNameTitleSupervisor
51971Peter RenaudOn Invariant Means and Applications to Ergodic Theory and Harmonic Analysis.Prof. G.M. Petersen
41971Kevin O'MearaRight Orders in Full Linear Rings.Dr. R.L. Kruse

Theses from 1965 – 1969

#DateNameTitleSupervisor
31967David RobinsonThe Symmetry of Graphs.Prof. G.M. Petersen
21966Gregor LawdenTwo Topics in the Theory of Optimal Trajectory Analysis.Prof. D.F. Lawden
11966Goh Bean–SanNecessary Conditions for the Singular Extremals in the Calculus of Variations.Prof. D.F. Lawden