Search results | J. Murrey Atkins Library

Title: Probabilistic Numerical Integration
Author: Smalenberger, Kelly
Date Created: 2020
Subjects--Topical: Mathematics
Description: In this dissertation, we consider the approximation of unknown or intractable integrals using quadrature, especially when the evaluation of these integrals is considered very costly. This is a central problem both within and without machine learni...

Title: QUANTUM RESISTANT REED-MULLER CODES ON McELIECE CRYPTOSYSTEM
Author: Elder, Jasmine
Date Created: 2020
Subjects--Topical: Mathematics, Information science
Description: Recently, Dr. Wang presented a new post quantum encryption scheme, Random Linear Code-Based Encryption scheme, RLCE, which is a variant to the McEliece encryption scheme. It is already well-known that the McEliece Encryption scheme based upon Reed...

Title: ROBUST GENERALIZED LIKELIHOOD RATIO TEST BASED ON PENALIZATION
Author: Zhang, Meijiao
Date Created: 2018
Subjects--Topical: Statistics
Description: The Least absolute deviation combined with the Least absolute shrinkage andselection operator (LAD-LASSO) estimator can do regression shrinkage and selectionand is also resistant to outliers or heavy-tailed errors which is proposed in Wang etal. (...

Title: Risk Minimizing Portfolio Optimization and Hedging with Conditional Value-at-Risk
Author: Li, Jing
Date Created: 2009
Subjects--Topical: Mathematics
Description: This thesis looks at the problem of finding the optimal investment strategy of a self-financing portfolio in a dynamic complete market setting so that the risk measured by Conditional Value-at-Risk (CVaR) is minimized under the condition that the ...

Title: SCHWARZ METHODS FOR FOURTH-ORDER PROBLEMS CONTAINING SINGULARITIES
Author: Palta, Birce
Date Created: 2019
Subjects--Topical: Mathematics
Description: We develop numerical methods for analysis of fourth-order partial differential equations on domains with angular corners. For the finite element analysis of fourth-order partial differential equations, we have to use smoother basis functions whose...

Title: SEVERAL STATISTICAL RESULTS UNDER MULTINOMIAL DISTRIBUTION WITH INFINITE CATEGORIES
Author: Zhou, Jun
Date Created: 2009
Subjects--Topical: Statistics, Mathematics
Description: This dissertation discusses several statistical results under multinomial distribution with infinite categories. Firstly, the discussion focuses on Simpson's diversity index and Turing's formula. We established an unbiased estimate for the newly p...

Title: STATISTICAL ANALYSIS OF MARK-SPECIFIC PROPORTIONAL HAZARDS MODEL
Author: Li, Mei
Date Created: 2011
Subjects--Topical: Statistics
Description: Competing risks occur frequently in survival analysis, and in some cases, the competingrisks are not discrete. In this dissertation, we develop some statistical inferences to analyzecontinuous competing risks.In Chapter 2, inspired by the HIV vacc...

Title: Semiparametric time-varying coefficient regression model for longitudinal data with censored time origin
Author: Shou, Qiong
Date Created: 2012
Subjects--Topical: Statistics
Description: In preventive HIV vaccine efficacy trials, thousands of HIV-negative volunteers are randomized to receive vaccine or placebo, and are monitored for HIV infection. The primary objective is to assess vaccine efficacy to prevent HIV infection. An imp...

Title: Spectral theory of the Schrodinger operator on general graphs
Author: Zheng, Lukun
Date Created: 2015
Subjects--Topical: Mathematics, Physics
Description: The goal of this dissertation is to give the sufficient conditions for the absence of a.c.spectrum or existence of the pure point (p.p.) spectrum for the deterministic or random Schrodinger operators on the general graphs. For the particular situa...

Title: Statistical estimation and inference for the associations of multivariate recurrent event processes
Author: Chen, Peilin
Date Created: 2019
Subjects--Topical: Statistics, Biometry
Description: In this dissertation, we aim to develop a brand new method with a two-stage procedure to investigate the association between multivariate recurrent event processes. First, under the assumption of independent censoring, we model each recurrent even...

Title: T-algebras and Efimov's problem
Author: Pichardo Mendoza, Roberto
Date Created: 2010
Subjects--Topical: Mathematics
Description: We study the topological properties of minimally generated algebras (as introduced by Koppelberg) and, particularly, the subclass of T-algebras (a notion due to Koszmider) and its connection with Efimov's problem.We show that the class of T-algebr...

Title: TESTING PREDICTABILITY OF ASSET RETURNS
Author: Wu, Li
Date Created: 2014
Subjects--Topical: Statistics, Finance
Description: In this paper, a L2 type nonparametric test is developed to test a specific nonlinear parametric regression model with near-integrated regressors. The asymptotic distributions of the proposed test statistic under both null and alternative hypothes...

Title: THE ASYMPTOTIC APPROXIMATION OF THE TRANSITION PROBABILITY FOR THE RANDOM WALKS WITH HEAVY TAILS.
Author: Agbor, Andu
Date Created: 2013
Subjects--Topical: Statistics, Mathematics
Description: The main result of this dissertation concerns the asymptotics, uniform in t and x, of the probability distribution of a random walk with heavy tails. The random walk is a Markov process and thus can be characterized in terms of their generators. W...

Title: THEORETICAL AND COMPUTATIONAL ANALYSIS OF SPECTRALLY HYPERVISCOUS MODELS OF TURBULENT FLOW
Author: Xiao, Chang
Date Created: 2010
Subjects--Topical: Mathematics
Description: Computing turbulent flow is very difficult but forms the basis for computational experiments in Meteorology and Oceanography. To overcome the difficulty and complexity in turbulence computation, a spectrally hyperviscous version of Navier-Stokes e...

Title: The Study of Loop Markov Chains
Author: Gillespie Jr., Perry
Date Created: 2011
Subjects--Topical: Mathematics, Statistics
Description: The purpose of my research is the study of <&ldquo>Loop<&rdquo> Markov Chains. This model contains several loops, which could be connected at several different points. The focal point of this thesis will be when these loops are connected at one si...

Title: The center and cyclicity problems in a family of three dimensional polynomial systems of ordinary differential equations.
Author: Hounkanli, Kokouvi
Date Created: 2013
Subjects--Topical: Mathematics
Description: This dissertation is mainly a study of the center problem in the context of a family of three dimensional systems of ordinary differential equations of the form· {u} = &minus v + P(u,v,w), · {v} = u+Q(u,v,w), · {w}=&minus &lambda...

Title: The general non-stationary Anderson Parabolic Model with correlated white noise
Author: Chen, Xiaoyun
Date Created: 2022
Subjects--Topical: Mathematics
Description: This dissertation contains the analysis of the general lattice non-stationary Anderson parabolic model with correlated white noise. It starts form the brief description of known results about parabolic problem with local Laplacian and the detailed...

Title: Unifying Estimation of Varying-coefficient Models
Author: yin, weitong
Date Created: 2019
Subjects--Topical: Statistics
Description: Varying-coefficient models are widely used to analyze the relationship between a response and a group of covariates. Existing research shows different convergence rates for the estimators of coefficient for the stationary part and the nonstationar...

Title: VARIABLE SELECTION FOR FUNCTIONAL INDEX COEFFICIENT MODELS AND ITS APPLICATIONS IN FINANCE AND ENGINEERING
Author: Yang, Bingduo
Date Created: 2012
Subjects--Topical: Engineering, Statistics, Finance
Description: Variable selection with a non-concave penalty function has become popular in recent years, since it has ability to select significant variables and to estimate unknown regression coefficients simultaneously. In this dissertation, I consider variab...

Title: Writhe-like Invariants of Alternating Links
Author: Pham, Van
Date Created: 2022
Subjects--Topical: Mathematics
Description: This dissertation introduces new invariants for a large class of links in knot theory, called alternating links. It also analyzes the strength of these invariants, that we call writhe-like invariants, in comparison with a few general link invarian...