Browsing Mathematics and Statistics, Department of by Title
Now showing items 95114 of 151

Networked Control Systems with Unbounded Noise under Information Constraints
(20121206)We investigate the stabilization of unstable multidimensional partially observed singlestation, multisensor (singlecontroller) and multicontroller (singlesensor) linear systems controlled over discrete noiseless ... 
A New Approach in Survival Analysis with Longitudinal Covariates
(20100427)In this study we look at the problem of analysing survival data in the presence of longitudinally collected covariates. New methodology for analysing such data has been developed through the use of hidden Markov modeling. ... 
Noncommutative Independences for Pairs of Faces
In noncommutative probability theories, many different notions of independence arise in various contexts. According to the early classification work, there are only five such notions that are universal/natural in the sense ... 
Nonholonomic mechanics and locomotion: the snakeboard example
(IEEE, 1994)Analysis and simulations are performed for a simplified model of a commercially available variant on the skateboard, known as the Snakeboard.1 Although the model exhibits basic gait patterns seen in a large number of ... 
Nonparametric and Parametric Methods for Solar Oscillation Spectra
(20140927)The study of the systematic oscillations of the Sun has led to better understanding of the Sun’s inner structure and dynamics, and may help to resolve inconsistencies between observations and the standard solar model. ... 
Nonparametric statistical procedures for therapeutic clinical trials with survival endpoints
(20070802)This thesis proposed two nonparametric statistical tests, based on the KolmogorovSmirnov distance and L2 mallows disatnce. To implement the proposed tests, nonparametric bootstrap method is employed to approximate the ... 
Nonparametric Testing Methods for TreatmentBiomarker Interaction based on Local PartialLikelihood
(Wiley, 20150617)In clinical trials, patients with different biomarker features may respond differently to the new treatments or drugs. In personalized medicine, it is important to study the interaction between treatment and biomarkers in ... 
On Malliavin Calculus and Concentration Inequalities
(20140707)We prove new abstract results concerning concentration inequalities and density estimates for Malliavin differentiable random variables. The efficacy of these results are demonstrated by practical computations, such as the ... 
On Renyi Divergence Measures for Continuous Alphabet Sources
(20110830)The idea of `probabilistic distances' (also called divergences), which in some sense assess how `close' two probability distributions are from one another, has been widely employed in probability, statistics, information ... 
On the Convergence and Applications of Mean Shift Type Algorithms
(20131001)Mean shift (MS) and subspace constrained mean shift (SCMS) algorithms are nonparametric, iterative methods to find a representation of a high dimensional data set on a principal curve or surface embedded in a high ... 
On the Equivalence Between Maximum Likelihood and Minimum Distance Decoding for Binary Contagion and QueueBased Channels with Memory
(20160217)We study the optimal maximum likelihood (ML) block decoding of general binary codes sent over two classes of binary additive noise channels with memory. Specifically, we consider the infinite and finite memory Polya contagion ... 
On the homogeneity of the affine connection model for mechanical control systems
(IEEE, 2000)This work presents a review of a number of control results for mechanical systems. The key technical results derive mainly from the homogeneity properties of affine connection models for a large class of mechanical systems. ... 
On the Optimality of the Hamming Metric for Decoding Block Codes over Binary Additive Noise Channels
(20130712)Most of the basic concepts of algebraic coding theory are derived for the memoryless binary symmetric channel. These concepts do not necessarily hold for timevarying channels or for channels with memory. However, errors ... 
On the Oscillations of Jupiter as Observed by Voyager 2
(20071218)Data recorded from Voyager 2 in 1979 during closest approach to Jupiter is prepared and analyzed for evidence of Jovian modal forcing. Comparisons are drawn between the data set in question and previously performed ... 
On the Reduced Operator Algebras of Free Quantum Groups
(20120803)In this thesis, we study the operator algebraic structure of various classes of unimodular free quantum groups, including thefree orthogonal quantum groups $O_n^+$, free unitary quantum groups $U_n^+$, and tracepreserving ... 
On the role of regularity in mathematical control theory
(20160408)In this thesis, we develop a coherent framework for studying timevarying vector fields of different regularity classes and their flows. This setting has the benefit of unifying all classes of regularity. In particular, ... 
Optimal control for a simplified hovercraft model
(2000)Timeoptimal and forceoptimal extremals are investigated for a planar rigid body with a single variable direction thruster. A complete and explicit characterisation of the singular extremals is possible for this problem. 
Optimal design in regression and spline smoothing
(20070719)This thesis represents an attempt to generalize the classical Theory of Optimal Design to popular regression models, based on Rational and Spline approximations. The problem of finding optimal designs for such models can ... 
Optimal Quantization and Approximation in Source Coding and Stochastic Control
(20150623)This thesis deals with nonstandard optimal quantization and approximation problems in source coding and stochastic control. The first part of the thesis considers randomized quantization. Adapted from stochastic ... 
Optimality of WalrandVaraiya Type Policies and Approximation Results for ZeroDelay Coding of Markov Sources
(20150728)Optimal zerodelay coding of a finite state Markov source through quantization is considered. Building on previous literature, the existence and structure of optimal policies are studied using a stochastic control problem ...