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Browsing School of Mathematics and Statistics · Te Kura Mātai Tatauranga by Title

Browsing School of Mathematics and Statistics · Te Kura Mātai Tatauranga by Title

Now showing items 1-20 of 150

Adapting a Hyper-heuristic to Respond to Scalability Issues in Combinatorial Optimisation

Marshall, Richard J. (Victoria University of Wellington, 2015)

The development of a heuristic to solve an optimisation problem in a new domain, or a specific variation of an existing problem domain, is often beyond the means of many smaller businesses. This is largely due to the task ...
The Algebraic and Geometric Classification of Four Dimensional Superalgebras

Armour, Aaron (Victoria University of Wellington, 2006)

The algebraic and geometric classification of k-algbras, of dimension four or less, was started by Gabriel in “Finite representation type is open” [12]. Several years later Mazzola continued in this direction with his ...
Analysis and Diagnostics for Censored Regression and Multivariate Data

Aziz, Nazrina (Victoria University of Wellington, 2010)

This thesis investigates three research problems which arise in multivariate data and censored regression. The first is the identification of outliers in multivariate data. The second is a dissimilarity measure for ...
Analysis and Diagnostics of Categorical Variables with Multiple Outcomes

Suesse, Thomas Falk (Victoria University of Wellington, 2009)

Surveys often contain qualitative variables for which respondents may select any number of the outcome categories. For instance, for the question "What type of contraceptive have you used?" with possible responses (oral, ...
Analysis and Prediction of High Frequency Foreign Exchange Data

Kennedy, Adrian Patrick (Victoria University of Wellington, 2018)

This thesis investigates the stochastic properties of high frequency foreign exchange data. We study the exchange rate as a process driven by Brownian motion, paying particular attention to its sampled total variation, ...
Analysis of Loop Programs Using Generalization

Colman, Glenn (Victoria University of Wellington, 1989)

This thesis describes a symbolic execution system, PAN, that is able to symbolically execute loops. PAN achieves this by generalizing the effect of a few loop iterations to predict the effect of an unknown number of ...
The Analysis of Samoan Schools Dropout Rates

Fitu, Lealaolesau (Victoria University of Wellington, 2012)

This thesis investigates the dropout problem in Samoan schools particularly at primary and secondary levels from 1995 to 2007. It aims at identifying and comparing the dropout rate by region (or geographical locations), ...
Annotating UI Architecture with Actual Use

Ramsay, Neil; Potanin, Alex; Stuart, Marshall (Victoria University of Wellington, 2008)

Developing an appropriate user interface architecture for supporting a system's tasks is critical to the system's overall usability. While there are principles to guide architectural design, confirming that the ...
Applications of, and Extensions to, Selected Exact Solutions in General Relativity

Cropp, Bethan (Victoria University of Wellington, 2011)

In this thesis we consider several aspects of general relativity relating to exact solutions of the Einstein equations. In the first part gravitational plane waves in the Rosen form are investigated, and we develop a ...
Applied Mathematics of Space-time & Space+time: Problems in General Relativity and Cosmology

Cattoen, Celine (Victoria University of Wellington, 2009)

Cosmography is the part of cosmology that proceeds by making minimal dynamic assumptions. That is, one does not assume the Friedmann equations (Einstein equations) unless and until absolutely necessary. On the other hand, ...
Approaches to Modelling Heterogeneity in Longitudinal Studies

Li, Xiaomei (Victoria University of Wellington, 2011)

This thesis is about estimation bias of longitudinal data when there is correlation between the explanatory variable and the individual effect. In our study, we firstly introduce what is longitudinal data, then we introduce ...
Aspects of Computable Analysis

Porter, Michelle (Victoria University of Wellington, 2016)

Computable analysis has been well studied ever since Turing famously formalised the computable reals and computable real-valued function in 1936. However, analysis is a broad subject, and there still exist areas that have ...
Aspects of General Relativity: Pseudo-Finsler Extensions, Quasi-Normal Frequencies and Multiplication of Tensorial Distributions

Jozef Skakala (Victoria University of Wellington, 2011)

This thesis is based on three different projects, all of them are directly linked to the classical general theory of relativity, but they might have consequences for quantum gravity as well. The first chapter deals with ...
Asymptotic methods of testing statistical hypotheses

Nguyen, Thuong (Victoria University of Wellington, 2017)

For a long time, the goodness of fit (GOF) tests have been one of the main objects of the theory of testing of statistical hypotheses. These tests possess two essential properties. Firstly, the asymptotic distribution of ...
The Axisymmetric Prandtl-Batchelor Eddy Behind a Circular Disc in a Uniform Stream

Harper, J F (Victoria University of Wellington, 1998)

Analytical support is given to Fornberg's numerical evidence that the steady axially symmetric flow of a uniform stream past a bluff body has a wake eddy which tends towards a large Hill's spherical vortex as the Reynolds ...
Bayesian estimation of a phenotype network structure using reversible jump Markov chain Monte Carlo

Woods, Lisa (Victoria University of Wellington, 2015)

In this thesis we aim to estimate the unknown phenotype network structure existing among multiple interacting quantitative traits, assuming the genetic architecture is known. We begin by taking a frequentist approach ...
Black Hole Evaporation: Sparsity in Analogue and General Relativistic Space-Times

Schuster, Sebastian (Victoria University of Wellington, 2018)

Our understanding of black holes changed drastically, when Stephen Hawking discovered their evaporation due to quantum mechanical processes. One core feature of this effect, later named after him, is both its similarity ...
Black Hole Radiation, Greybody Factors, and Generalised Wick Rotation

Gray, Finnian (Victoria University of Wellington, 2016)

In this thesis we look at the intersection of quantum field theory and general relativity. We focus on Hawking radiation from black holes and its implications. This is done on two fronts. In the first we consider the ...
Bubble Rise in a Liquid With a Surfactant Gas, in Particular Carbon Dioxide

Harper, J F (Victoria University of Wellington, 2007)

When a gas bubble rises in a surfactant solution, the velocity field and the distribution of surfactant affect each other. This paper gives the theory for small Reynolds and internal Peclet numbers if the surfactant is ...
A Bubble Rising in Viscous Fluid: Lagrange's Equations For Motion at a High Reynolds Number

Harper, J F (Victoria University of Wellington, 2001)

A gas bubble rising steadily in a pure liquid otherwise at rest at a moderate Weber number is, to a good approximation, of oblate spheroidal shape. Previous analytical calculations of that shape at high Reynolds numbers ...