Mathematics Ph.D. Dissertations

 

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Dissertations from 2024

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On the Posterior Consistency and Bernstein-von Mises Phenomenon for the Diaconis-Ylvisaker Prior, Xin Jin

Dissertations from 2023

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Projection Pursuit Indices Based on Weighted L2 Statistics for Testing Normality, Eugeniah Amma Pemah Arthur

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Predicting base conservation scores in RNA 3D structures, Gul Bahar Bulbul

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Sequential Inference and Goodness of Fit Testing using Energy Statistics for the Power Normal and Modified Power Normal Distributions, Bradley Craig

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Methodology for Estimation and Model Selection in High-Dimensional Regression with Endogeneity, Fan Du

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Efron’s Method on Large Scale Correlated Data and Its Refinements, Asmita Ghoshal

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High Order Enriched Finite Element Methods for Interface Problems, Moumita Ghosh

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Universal Composition Operators on the Hardy Space with Linear Fractional Symbols, Aiham A. Hassan

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Generalizations of the Exterior Algebra, Steven Robert Lippold

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A Strictly Weakly Hypercyclic Operator with a Hypercyclic Subspace, Zeno Madarasz

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An efficient framework for hypothesis testing using Topological Data Analysis, Hasani Indunil Pathirana

Dissertations from 2022

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Ultra High Dimension Variable Selection with Threshold Partial Correlations, Yiheng Liu

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Simultaneous Inference With Application To Dose-Response Study, Rachana Maharjan

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Energy-Statistics-Based Nonparametric Tests for Change Point Analysis, Joseph Mwendwa Njuki

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Some Universality and Hypercyclicity Phenomena on Smooth Manifolds, Thomas A. Tuberson

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Sequential Change-point Analysis for Skew Normal Distributions and Nonparametric CUSUM and Shiryaev-Roberts Procedures Based on Modified Empirical Likelihood, Peiyao Wang

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What Certain Norms Say About Spectra, Danielle Witt

Dissertations from 2021

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Universality of Composition Operator with Conformal Map on the Upper Half Plane, Fadelah Abdulmohsen Almohammedali

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Advancing Bechhofer's Ranking Procedures to High-dimensional Variable Selection, Chao Gu

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Bootstrap Methods for Estimation in Linear Mixed Models with Heteroscedasticity, Nelum Shyamali Sri Manik Hapuhinna

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Feature Screening for High-Dimensional Variable Selection in Generalized Linear Models, Jinzhu Jiang

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Energy Distance Correlation with Extended Bayesian Information Criteria for Feature Selection in High Dimensional Models, Isaac Xoese Ocloo

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An Approach to Improving Test Powers in Cox Proportional Hazards Models, Subhamoy Pal

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Statistical Inferences for Missing Data/causal Inferences Based on Modified Empirical Likelihood, Sima Sharghi

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Cyclic behavior of holomorphic functions on a Runge region, Paul Matthew Switlyk Jr.

Dissertations from 2020

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Linear Mixed Model Selection by Partial Correlation, Audry Alabiso

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Linear Mixed Model Selection Via Minimum Approximated Information Criterion, Olivia Abena Atutey

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Local Distance Correlation: An Extension of Local Gaussian Correlation, Walaa Ahmed Hamdi

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The Energy Goodness-Of-fit Test for the Inverse Gaussian Distribution, Patrick Ofosuhene

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Every Pure Quasinormal Operator Has a Supercyclic Adjoint, Serge Phanzu Phanzu

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Sequential Change-point Detection in Linear Regression and Linear Quantile Regression Models Under High Dimensionality, Suthakaran Ratnasingam

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Statistical Inferences On Inflated Data Based On Modified Empirical Likelihood, Patrick Stewart

Dissertations from 2019

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On the quasi-isometric rigidity of a class of right-angled Coxeter groups, Jordan Bounds

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Properties of Higher Order Hochschild Cohomology, Samuel R. Carolus

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Bootstrap-adjusted Quasi-likelihood Information Criteria for Mixed Model Selection, Wentao Ge

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Weak*-Closed Unitarily and Moebius Invariant Spaces of Bounded Measurable Functions on a Sphere, Samuel A. Hokamp

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An Approach to Estimation and Selection in Linear Mixed Models with Missing Data, Yi-Ching Lee

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Simultaneous Inference on Survival Data, Yehan Ma

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Sequential Inference and Nonparametric Goodness-of-Fit Tests for Certain Types of Skewed Distributions, Logan J. Opperman

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Simultaneous Inference for High Dimensional and Correlated Data, Afroza Polin

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Inferring RNA 3D Motifs from Sequence, James Elwood Roll

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Exact Calculations for the Lagrangian Velocity, Eduardo da Silva Schneider

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Methodologies for Missing Data with Range Regressions, Kevin Edward Stoll

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Innovations of random forests for longitudinal data, Yaa Tawiah Wonkye

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Two-Stage SCAD Lasso for Linear Mixed Model Selection, Mohammed A. Yousef

Dissertations from 2018

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Study of Generalized Lomax Distribution and Change Point Problem, Amani Saeed Alghamdi

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Generalized Estimating Equations for Mixed Models, Lulah A. Alnaji

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Error analysis of the cubic front tracking and RKDG method for one dimensional conservation laws, Raju Prasad Bhusal

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The energy goodness-of-fit test and E-M type estimator for asymmetric Laplace distributions, John T. Haman

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Numerical Smoothness and Error Analysis for Parabolic Equations, Todd Romutis

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Hom-tensor Categories, Paul T. Schrader

Dissertations from 2017

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Statistical Inference for a New Class of Skew t Distribution and Its Related Properties, Doaa Basalamah

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Secondary Hochschild and Cyclic (Co)homologies, Jacob C. Laubacher

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Rigidity of Quasiconformal Maps on Carnot Groups, Mark Edward Medwid

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Hypercyclic Algebras and Affine Dynamics, Dimitrios Papathanasiou

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Empirical Likelihood For Change Point Detection And Estimation In Time Series Models, Ramadha D. Piyadi Gamage

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A Constructive Approach to the Universality Criterion for Semigroups, David Walmsley

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A Penalized Approach to Mixed Model Selection Via Cross Validation, Jingwei Xiong

Dissertations from 2016

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Visualization and Unsupervised Pattern Recognition in Multidimensional Data Using a New Heuristic for Linear Data Ordering, Denis Aliyevich Aliyev

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Dose-Response Analysis for Time-Dependent Efficacy, Mohammad Mafijul Islam

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Properties of groups acting on Twin-Trees and Chabauty space, Robert J. Kelvey

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Estimating the Proportion of True Null Hypotheses in Multiple Testing Problems, Oluyemi Oyeniran

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Adaptive LASSO For Mixed Model Selection via Profile Log-Likelihood, Juming Pan

Dissertations from 2015

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Jackknife Empirical Likelihood And Change Point Problems, Ying-Ju Chen

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K-groups: A Generalization of K-means by Energy Distance, Songzi Li

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Improving the Accuracy of Variable Selection Using the Whole Solution Path, Yang Liu

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Goodness-of-Fit Tests For Dirichlet Distributions With Applications, Yi Li

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On Modern Measures and Tests of Multivariate Independence, Mary Elvi Aspiras Paler

Dissertations from 2014

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Bayesian Model Checking Methods for Dichotomous Item Response Theory and Testlet Models, Adam Combs

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A Discontinuous Galerkin - Front Tracking Scheme and its Optimal -Optimal Error Estimation, Adamou M. Fode

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Isolated Point Theorems for Uniform Algebras on Manifolds, Swarup Narayan Ghosh

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Novel Step-Down Multiple Testing Procedures Under Dependence, Shihai Lu

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Chaotic Extensions for General Operators on a Hilbert Subspace, Leonardo V. Pinheiro

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Mixed Model Selection Based on the Conceptual Predictive Statistic, Cheng Wenren

Dissertations from 2013

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Influence of Correlation and Missing Data on Sample Size Determination in Mixed Models, Yanran Chen

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A Study of non-central Skew t Distributions and their Applications in Data Analysis and Change Point Detection, Abeer Hasan

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Clean Rings & Clean Group Rings, Nicholas Immormino

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Hypercyclic Extensions of an Operator on a Hilbert Subspace with Prescribed Behaviors, Gokul Kadel

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A Partitioning Approach for the Selection of the Best Treatment, Yong Lin

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Statistical Analysis of Skew Normal Distribution and its Applications, Grace Ngunkeng

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Applications of Empirical Likelihood to Zero-Inflated Data and Epidemic Change Point, Junvie Montealto Pailden

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Regression Analysis for Zero Inflated Population Under Complex Sampling Designs, Khyam Narayan Paneru

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Multivariate Population Attributable Hazard Function For Right-Censored Data, Vladimir Son

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Hypercyclic Extensions Of Bounded Linear Operators, George R. Turcu

Dissertations from 2011

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Examples of Diagonal Operators That Fail Spectral Synthesis on Spaces of Analytic Functions, Melanie Henthorn

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Applications of Entire Function Theory to the Spectral Synthesis of Diagonal Operators, Kate Overmoyer

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Optimally Clean Rings, Daniel Shifflet

Dissertations from 2010

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On Flips of Unitary Buildings, Benjamin Carr

Dissertations from 2009

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Minimal Prime Element Space of an Algebraic Frame, Papiya Bhattacharjee

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On The Cyclicity And Synthesis Of Diagonal Operators On The Space Of Functions Analytic On A Disk, Ian Deters

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Cp(X,ℤ), Kevin Drees

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Estimation of Qvf Measurement Error Models Using Empirical Likelihood Method, Naima Shifa

Dissertations from 2008

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Finite Elements and Practical Error Analysis of Huxley and EFK Equations, Champike Attanayake

Dissertations from 2007

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The Classification of l1-embeddable Fullerenes, Mihaela C. Marcusanu

Dissertations from 2006

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Function Algebras on Riemann Surfaces and Banach Spaces, Lynette J. Boos

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Transformed Tests for Homogeneity of Variances and Means, Md. Khairul Islam

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Likelihood-Based Confidence Bands for a ROC Curve, Reuben Muchemedzi

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The Face Consistency and Embeddability of Fullerenes, Douglas Puharic

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Inference of Attributable Risk for Multiple ExposureLevels Under Cross-sectional Sampling Design, Tanweer Shapla

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Bayesian Model Checking Strategies for Dichotomous Item Response Theory Models, Sherwin G. Toribio