## Search

Now showing items 11-20 of 27

#### 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 ...

#### 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 ...

#### 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 ...

#### Minimal Presentations of Sofic Shifts and Properties of Periodic-Finite-Type Shifts

(2009-08-12)

Constrained codes have been used in data storage systems, such as magnetic tapes,
CD’s and DVD’s, in order to reduce the likelihood of errors by predictable noise.
The study of constrained codes is based on the study of ...

#### 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 ...

#### 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)}, \;\;\;\; ...

#### 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 ...

#### Tilting objects in derived categories of equivariant sheaves

(2008-09-05)

We construct classical tilting objects in derived categories of equivariant sheaves on quasi-projective varieties,
which give equivalences with derived categories of modules over algebras. Our applications include a ...

#### 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 ...

#### Betti numbers and regularity of projective monomial curves

(2008-09-25)

In this thesis we describe how the balancing of the $\operatorname{Tor}$ functor can be used to compute the minimal free resolution of a graded module $M$ over the polynomial ring $B=\mathbb{K}[X_0,\dots,X_m]$ ($\mathbb{K}$ ...