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Skip to Search Results 6Frei, Christoph (Mathematical and Statistical Sciences)
 6Kong, Linglong (Mathematical and Statistical Sciences)
 5Lewis, Mark (Mathematical and Statistical Sciences)
 5Mizera, Ivan (Mathematical and Statistical Sciences)
 4Han, Bin (Mathematical and Statistical Sciences)
 4Karunamuni, Rohana (Mathematical and Statistical Sciences)

Spring 2013
In this thesis we study operator ideals on ordered Banach spaces such as Banach lattices, $C^*$algebras, and noncommutative function spaces. The first part of this work is concerned with the domination problem: the relationship between order and algebraic ideals of operators. Fremlin, Dodds and...

A Bayesian Joint Model Framework for Repeated MatrixVariate Regression with Measurement Error Correction
DownloadSpring 2021
In this thesis, with the purpose of correcting for potential measurement errors in repeatedlyobserved matrixvalued surrogates, and examining the underlying association between latent matrix covariates and a binary response, we propose a Bayesian joint model framework. This joint model method...

Spring 2014
We introduce two kinds of particle filters, one is weighted particle filter and the other is resampling particle filter. We prove the Strong Law of Large Numbers and Central Limit Theorem for both particle filters. Then, we show that the resampling particle filter is better than the weighted one.

Fall 2017
One main goal of this thesis is to bring forth a systematic and simple construction of a multiwavelet basis on a bounded interval. The construction that we present possesses orthogonality in the derivatives of the multiwavelet basis among all scale levels. Since we are mainly interested in Riesz...

Fall 2021
The theory of convergence structures delivers a promising foundation on which to study general notions of convergence. However, that theory has one striking feature that stands out against all others: it is described using the language of filters. This is contrary to how convergence is used in...

A graphtheoretic approach to the construction of Lyapunov functions for coupled systems on networks
DownloadFall 2010
For coupled systems of differential equations on networks, a graphtheoretic approach to the construction of Lyapunov functions is systematically developed in this thesis. Kirchhoff’s MatrixTree Theorem in graph theory plays an essential role in the approach’s development. The approach is...

Fall 2009
This thesis is concerned with the analysis of the control design to the nonlinear networked control systems (NCSs). Ignoring the network connection and cascading actuators, the plant and sensors together, a sampleddata system is obtained. The stabilization problem of nonlinear sampleddata...

A simulationbased approach to assess the goodness of fit of Exponential Random Graph Models
DownloadFall 2010
Exponential Random Graph Models (ERGMs) have been developed for fitting social network data on both static and dynamic levels. However, the lack of large sample asymptotic properties makes it inadequate in assessing the goodnessoffit of these ERGMs. Simulationbased goodnessoffit plots were...

Fall 2010
After the scientific problem of interest is defined, collecting data is the first stage of any statistical analyses. The question of how large the sample should be is thus of great interest. In this thesis we demonstrate that in a geostatistical experiment determining the minimum sample size to...

Fall 2013
Given a conformal superalgebra A over an algebraically closed field k of characteristic zero, a twisted loop conformal superalgebra L based on A has a differential conformal superalgebra structure over the differential Laurent polynomial ring D. In this context, L is a Dm/D–form of A \otimes D...