Dissertations & Theses: Recent submissions
Now showing items 21-40 of 173
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OPTION PRICING WITH INVESTMENT STRATEGY UNDER STOCHASTIC INTEREST RATES
(2021-05-06)Equity options are the most common types of financial derivatives that give an investor the right but not the obligation to buy or sell shares of stock at a given price in the future for a premium (option price) paid at ... -
LIUTEX ANALYSIS BY POD AND DMD IN TURBULENT FLOW AFTER/ IN MICRO VORTEX GENERATOR
(2021-12-06)Although vortex has been studied more than one hundred year, we still have not had universally accepted definition. A few well-known vortex identification methods are introduced 𝑄,∆, 𝜆2,𝜆𝑐𝑖 criteria to identify coherent ... -
OPTIMAL TREATMENT STRATEGIES FOR CANCER PATIENTS IN TERMS OF SURVIVAL MONTHS AND SOCIO-ECONOMIC FACTORS
(2020-05-29)One of the main challenges of cancer patients and their healthcare providers is making decisions regarding choosing the best treatment option. In the first part of thesis, we analyze breast cancer patients’ data to discover ... -
Exponential Tensor Modules
(2022-06-02)Representation theory of Lie algebra of a finite dimensional reductive Lie algebra g is a long-standing problem. The ultimate goal is to classify all representations of g. However. the only case only case when a complete ... -
Quantized Enveloping Superalgebra of Type P
(2022-05-09)We introduce a new quantized enveloping superalgebra $\mathfrak{U}_q\mathfrak{p}_n$ attached to the Lie superalgebra $\mathfrak{p}_n$ of type P. The superalgebra $\mathfrak{U}_q\mathfrak{p}_n$ is a quantization of a Lie ... -
Likelihood Inference for Flexible Cure Rate Models in the Context of Infectious Diseases with Multiple Exposures
(2020-09-01)Cure rate models are mostly used to study data arising from cancer clinical trials. Its use in the context of infectious diseases has not been explored well. In 2007, Tournoud and Ecochard rst proposed a mechanistic ... -
LIUTEX AND STATISTICAL ANALYSIS FOR FLUID TRANSITION
(2021-08)A vortex can be intuitively recognized as the rotational swirling motion of the fluids. The fascination of this phenomenon brought about many years of research to define, classify, and identify the vortical structure. ... -
DECOUPLING-BASED APPROACH TO CENTRALITY DETECTION IN HETEROGENEOUS MULTILAYER NETWORKS
(2021-08-13)Graph analysis is one of the techniques widely used for data analysis. It is used extensively on single graphs. Its ability to capture entities and relationships makes it an attractive data model. Search on graphs, such ... -
COMPRESSIVE DECONVOLUTION OF MRI IMAGING VIA ℓ1 − ℓ2 REGULARIZATION
(2021-08-09)The evolution of technology has drastically impacted the imaging field, particularly magnetic resonance imaging (MRI). Compared to other imaging technologies, MRI offers multiple contrasting mechanisms to distinguish tissues ... -
LIUTEX-BASED VORTEX IDENTIFICATION METHODS AND THEIR APPLICATION IN DNS STUDY OF FLAT PLATE BOUNDARY LAYER TRANSITION
(2021-07-26)Vortices are intuitively known as the rotational motion of fluid particles, however, unambiguous and universally accepted methods of vortex definition and identification are not available to date in the literature. ... -
A NOVEL SUPERVISED DIMENSIONALITY REDUCTION METHOD: INTEGRATING PCA WITH SVM
(2021-07-06)Data curation and storage methods have changed over the past few decades with the use of new technologies, and gathering data on a huge number of features (dimensions) is now very common among diverse scientific and ... -
A Study on Approximations of Totally Acyclic Complexes
(2021-08-23)Let $R$ be a commutative local ring to which we associate the subcategory $\Ktac(R)$ of the homotopy category of $R$-complexes, consisting of totally acyclic complexes. Further suppose there exists a surjection of Gorenstein ... -
The Natural Middle of a Complete Resolution
(2021-08-23)It is widely known that minimal free resolutions of a module over a complete intersection ring have nice patterns that arise in their Betti sequences. In the late 1990's Avramov, Gasharov and Peeva defined a new class of ... -
PRECISION MEDICINE: GENE AND CLINICAL DATA ANALYSIS OF RENAL CANCER
(2020-05-12)Recent advances in biotechnology led to generation of large complex biological and clinical data sets that can be used to infer the underlying mechanism of many diseases and arrive at personalized treatments. One of these ... -
SOME QUADRATIC QUANTUM P³s WITH A LINEAR ONE-DIMENSIONAL LINE SCHEME
(2021-05-20)It is believed that quadratic Artin-Shelter regular (AS-regular) algebras of global dimension four (sometimes called quadratic quantum P3s can be classified using a geometry similar to that developed in the 1980’s by ... -
EXPLORING DEVELOPMENT OF PROBLEM SOLVING STRATEGIES IN EMERGING MATHEMATICIANS
(2021-04-29)To solve an unfamiliar mathematics problem, students of the subject must know more than the appropriate prerequisite content knowledge. They must also know how best to strategically apply their knowledge, how to monitor ... -
ASSESSING THE IMPACT OF VACCINATION AND BEHAVIOR CHANGE ON OUTBREAKS OF EMERGING RESPIRATORY DISEASES
(2021-05-03)The purpose of this dissertation is to use mathematical models to evaluate the impact of characteristics of respiratory diseases like influenza and COVID-19 either alone or co-circulating and how might influenza vaccine ... -
Mathematical Modeling of a Network of Neurons Regarding Glucose Transport Deficiency Induced Epileptic Seizures
(2019-11-21)Epilepsy is a complex phenomena of a system of neurons simultaneously firing that are highly intensive and synchronized. Seizures are a common and well known physical feature for all types of epileptic disorders [8]. ... -
STOCHASTIC RISK MEASURES FOR THE LUNDBERG MODEL WITH REINSURANCE AND INVESTMENT
(2020-11-24)Risk measures emerge in fields such as economics, insurance, finance and are concerned with a stochastic representation of uncertainties stemming from the unpredictability of the real world events. In essence, risk analysis ... -
OPTIMAL BANDWIDTH SELECTION FOR DECONVOLUTED KERNEL DENSITY ESTIMATION USING BOOTSTRAP METHOD
(2020-08-28)To estimate an unknown density when observed measurements are from the convolution model contaminated by additive measurement errors, Stefanski and Carroll (1990) proposed using Fourier inversion on the product of Fourier ...