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Now showing items 11-20 of 90

#### Statistical Inferences of Two-Stage Phase II Cancer Clinical Trials with Two Co-primary Endpoints

In cancer research, two-stage designs are usually used to assess the eﬀect of a new
agent in phase II clinical trials. The optimal two-stage designs with two co-primary
endpoints have been proposed to assess the eﬀects ...

#### Modeling and Analysis of Dynamic Computer Experiments

Dynamic computer experiments which refer to computer experiments with
time series outputs have increasingly gained popularity in both
science and engineering. Analysis of dynamic computer experiments
through statistical ...

#### Reinforcement Learning for Decentralized Stochastic Control

We consider decentralized optimization of a controlled stochastic system where a finite number of decision makers seek to arrive at optimal policies using only local measurements and cost realizations. For such a context, ...

#### The two-variable Artin conjecture and elliptic analogues

In 1927, Emil Artin conjectured that for any integer a other than -1 or squares, the set of primes p for which a is a primitive root modulo p has positive density in the set of all primes. This was proven subject to the ...

#### Asymmetric matching allele models: imperfect matching, stability and the impact of mutation

Asymmetric matching alleles models assume that each parasite genotype specializes on a matching host genotype to a different degree. We study system behavior of a single locus di-allelic asymmetric matching alleles model. ...

#### Symmetric Gaussian Rearrangement with Applications to Gaussian Noise Stability

We introduce a new symmetric Gaussian rearrangement that applies to sets and functions which are invariant with respect to a given finite subgroup of the orthogonal group. The properties of this rearrangement are developed, ...

#### Special values of L-series, periodic coefficients and related themes

This thesis is centered around the theme of special values of L-functions and other infinite series, which are often expected to be transcendental numbers. More specifically, we focus on the following two questions in ...

#### Variations on Artin's Primitive Root Conjecture

(2011-08-11)

Let $a \in \mathbb{Z}$ be a non-zero integer. Let $p$ be a prime such that $p \nmid a$. Define the index of $a$ modulo $p$, denoted $i_{a}(p)$, to be the integer $i_{a}(p) := [(\mathbb{Z}/p\mathbb{Z})^{\ast}:\langle a ...

#### Nonparametric and Parametric Methods for Solar Oscillation Spectra

(2014-09-27)

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. ...

#### Arithmetic and Intermediate Jacobians of Calabi-Yau threefolds

(2015-09-10)

This thesis is centered around particular Calabi-Yau threefolds. Borcea \cite{Borcea} and Voisin \cite{Voisin} construct Calabi-Yau threefolds using elliptic curves and K3 surfaces with non-symplectic involutions. This ...