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Now showing items 11-20 of 27

#### Transcendence of Various Infinite Series and Applications of Baker's Theorem

(2009-11-13)

We consider various infinite series and examine their arithmetic nature. Series of interest are of the form $$\sum_{n =0}^{\infty} \frac{f(n)A(n)}{B(n)}, \;\;\;\; \sum_{n \in \mathbb{Z}}\frac{f(n)A(n)}{B(n)}, \;\;\;\; ...

#### Nonparametric statistical procedures for therapeutic clinical trials with survival endpoints

(2007-08-02)

This thesis proposed two nonparametric statistical tests, based on the Kolmogorov-Smirnov distance and L2 mallows disatnce.
To implement the proposed tests, nonparametric bootstrap method is employed to approximate the ...

#### On the Oscillations of Jupiter as Observed by Voyager 2

(2007-12-18)

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 ...

#### Topics in Combinatorics and Random Matrix Theory

(2009-09-27)

Motivated by the longest increasing subsequence problem, we examine sundry
topics at the interface of enumerative/algebraic combinatorics and random matrix theory.
We begin with an expository account of the increasing ...

#### The circular law: Proof of the replacement principle

(2009-07-13)

It was conjectured in the early 1950¡¯s that the empirical
spectral distribution (ESD) of an $n \times n$ matrix whose entries
are independent and identically distributed with mean zero and
variance one, normalized by ...

#### Geometric Jacobian Linearization

(2007-12-21)

For control systems that evolve on Euclidean spaces, Jacobian linearization
is a common technique in many control applications, analysis, and controller
design methodologies. However, the standard linearization method ...

#### Hybrid Digital-Analog Source-Channel Coding and Information Hiding: Information-Theoretic Perspectives

(2007-10-02)

Joint source-channel coding (JSCC) has been acknowledged to have
superior performance over separate source-channel coding in terms of
coding efficiency, delay and complexity. In the first part of this
thesis, we study ...

#### The Minimum Witt Index of a Graph

(2007-09-17)

An independent set in a graph G is a set of pairwise nonadjacent vertices, and the maximum size, alpha(G), of an independent set in G is called the independence number.
Given a graph G and weight matrix A of G with entries ...

#### Data-driven estimation for Aalen's additive risk model

(2007-08-02)

The proportional hazards model developed by Cox (1972) is by far the most widely used method for regression analysis of censored survival data. Application of the Cox model to more general event history data has become ...

#### Optimal design in regression and spline smoothing

(2007-07-19)

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 ...