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Mathematics and Statistics Theses and Dissertations

Theses/dissertations from 2024 2024.

The Effect of Fixed Time Delays on the Synchronization Phase Transition , Shaizat Bakhytzhan

On the Subelliptic and Subparabolic Infinity Laplacian in Grushin-Type Spaces , Zachary Forrest

Utilizing Machine Learning Techniques for Accurate Diagnosis of Breast Cancer and Comprehensive Statistical Analysis of Clinical Data , Myat Ei Ei Phyo

Quandle Rings, Idempotents and Cocycle Invariants of Knots , Dipali Swain

Comparative Analysis of Time Series Models on U.S. Stock and Exchange Rates: Bayesian Estimation of Time Series Error Term Model Versus Machine Learning Approaches , Young Keun Yang

Theses/Dissertations from 2023 2023

Classification of Finite Topological Quandles and Shelves via Posets , Hitakshi Lahrani

Applied Analysis for Learning Architectures , Himanshu Singh

Rational Functions of Degree Five That Permute the Projective Line Over a Finite Field , Christopher Sze

Theses/Dissertations from 2022 2022

New Developments in Statistical Optimal Designs for Physical and Computer Experiments , Damola M. Akinlana

Advances and Applications of Optimal Polynomial Approximants , Raymond Centner

Data-Driven Analytical Predictive Modeling for Pancreatic Cancer, Financial & Social Systems , Aditya Chakraborty

On Simultaneous Similarity of d-tuples of Commuting Square Matrices , Corey Connelly

Symbolic Computation of Lump Solutions to a Combined (2+1)-dimensional Nonlinear Evolution Equation , Jingwei He

Boundary behavior of analytic functions and Approximation Theory , Spyros Pasias

Stability Analysis of Delay-Driven Coupled Cantilevers Using the Lambert W-Function , Daniel Siebel-Cortopassi

A Functional Optimization Approach to Stochastic Process Sampling , Ryan Matthew Thurman

Theses/Dissertations from 2021 2021

Riemann-Hilbert Problems for Nonlocal Reverse-Time Nonlinear Second-order and Fourth-order AKNS Systems of Multiple Components and Exact Soliton Solutions , Alle Adjiri

Zeros of Harmonic Polynomials and Related Applications , Azizah Alrajhi

Combination of Time Series Analysis and Sentiment Analysis for Stock Market Forecasting , Hsiao-Chuan Chou

Uncertainty Quantification in Deep and Statistical Learning with applications in Bio-Medical Image Analysis , K. Ruwani M. Fernando

Data-Driven Analytical Modeling of Multiple Myeloma Cancer, U.S. Crop Production and Monitoring Process , Lohuwa Mamudu

Long-time Asymptotics for mKdV Type Reduced Equations of the AKNS Hierarchy in Weighted L 2 Sobolev Spaces , Fudong Wang

Online and Adjusted Human Activities Recognition with Statistical Learning , Yanjia Zhang

Theses/Dissertations from 2020 2020

Bayesian Reliability Analysis of The Power Law Process and Statistical Modeling of Computer and Network Vulnerabilities with Cybersecurity Application , Freeh N. Alenezi

Discrete Models and Algorithms for Analyzing DNA Rearrangements , Jasper Braun

Bayesian Reliability Analysis for Optical Media Using Accelerated Degradation Test Data , Kun Bu

On the p(x)-Laplace equation in Carnot groups , Robert D. Freeman

Clustering methods for gene expression data of Oxytricha trifallax , Kyle Houfek

Gradient Boosting for Survival Analysis with Applications in Oncology , Nam Phuong Nguyen

Global and Stochastic Dynamics of Diffusive Hindmarsh-Rose Equations in Neurodynamics , Chi Phan

Restricted Isometric Projections for Differentiable Manifolds and Applications , Vasile Pop

On Some Problems on Polynomial Interpolation in Several Variables , Brian Jon Tuesink

Numerical Study of Gap Distributions in Determinantal Point Process on Low Dimensional Spheres: L -Ensemble of O ( n ) Model Type for n = 2 and n = 3 , Xiankui Yang

Non-Associative Algebraic Structures in Knot Theory , Emanuele Zappala

Theses/Dissertations from 2019 2019

Field Quantization for Radiative Decay of Plasmons in Finite and Infinite Geometries , Maryam Bagherian

Probabilistic Modeling of Democracy, Corruption, Hemophilia A and Prediabetes Data , A. K. M. Raquibul Bashar

Generalized Derivations of Ternary Lie Algebras and n-BiHom-Lie Algebras , Amine Ben Abdeljelil

Fractional Random Weighted Bootstrapping for Classification on Imbalanced Data with Ensemble Decision Tree Methods , Sean Charles Carter

Hierarchical Self-Assembly and Substitution Rules , Daniel Alejandro Cruz

Statistical Learning of Biomedical Non-Stationary Signals and Quality of Life Modeling , Mahdi Goudarzi

Probabilistic and Statistical Prediction Models for Alzheimer’s Disease and Statistical Analysis of Global Warming , Maryam Ibrahim Habadi

Essays on Time Series and Machine Learning Techniques for Risk Management , Michael Kotarinos

The Systems of Post and Post Algebras: A Demonstration of an Obvious Fact , Daviel Leyva

Reconstruction of Radar Images by Using Spherical Mean and Regular Radon Transforms , Ozan Pirbudak

Analyses of Unorthodox Overlapping Gene Segments in Oxytricha Trifallax , Shannon Stich

An Optimal Medium-Strength Regularity Algorithm for 3-uniform Hypergraphs , John Theado

Power Graphs of Quasigroups , DayVon L. Walker

Theses/Dissertations from 2018 2018

Groups Generated by Automata Arising from Transformations of the Boundaries of Rooted Trees , Elsayed Ahmed

Non-equilibrium Phase Transitions in Interacting Diffusions , Wael Al-Sawai

A Hybrid Dynamic Modeling of Time-to-event Processes and Applications , Emmanuel A. Appiah

Lump Solutions and Riemann-Hilbert Approach to Soliton Equations , Sumayah A. Batwa

Developing a Model to Predict Prevalence of Compulsive Behavior in Individuals with OCD , Lindsay D. Fields

Generalizations of Quandles and their cohomologies , Matthew J. Green

Hamiltonian structures and Riemann-Hilbert problems of integrable systems , Xiang Gu

Optimal Latin Hypercube Designs for Computer Experiments Based on Multiple Objectives , Ruizhe Hou

Human Activity Recognition Based on Transfer Learning , Jinyong Pang

Signal Detection of Adverse Drug Reaction using the Adverse Event Reporting System: Literature Review and Novel Methods , Minh H. Pham

Statistical Analysis and Modeling of Cyber Security and Health Sciences , Nawa Raj Pokhrel

Machine Learning Methods for Network Intrusion Detection and Intrusion Prevention Systems , Zheni Svetoslavova Stefanova

Orthogonal Polynomials With Respect to the Measure Supported Over the Whole Complex Plane , Meng Yang

Theses/Dissertations from 2017 2017

Modeling in Finance and Insurance With Levy-It'o Driven Dynamic Processes under Semi Markov-type Switching Regimes and Time Domains , Patrick Armand Assonken Tonfack

Prevalence of Typical Images in High School Geometry Textbooks , Megan N. Cannon

On Extending Hansel's Theorem to Hypergraphs , Gregory Sutton Churchill

Contributions to Quandle Theory: A Study of f-Quandles, Extensions, and Cohomology , Indu Rasika U. Churchill

Linear Extremal Problems in the Hardy Space H p for 0 p , Robert Christopher Connelly

Statistical Analysis and Modeling of Ovarian and Breast Cancer , Muditha V. Devamitta Perera

Statistical Analysis and Modeling of Stomach Cancer Data , Chao Gao

Structural Analysis of Poloidal and Toroidal Plasmons and Fields of Multilayer Nanorings , Kumar Vijay Garapati

Dynamics of Multicultural Social Networks , Kristina B. Hilton

Cybersecurity: Stochastic Analysis and Modelling of Vulnerabilities to Determine the Network Security and Attackers Behavior , Pubudu Kalpani Kaluarachchi

Generalized D-Kaup-Newell integrable systems and their integrable couplings and Darboux transformations , Morgan Ashley McAnally

Patterns in Words Related to DNA Rearrangements , Lukas Nabergall

Time Series Online Empirical Bayesian Kernel Density Segmentation: Applications in Real Time Activity Recognition Using Smartphone Accelerometer , Shuang Na

Schreier Graphs of Thompson's Group T , Allen Pennington

Cybersecurity: Probabilistic Behavior of Vulnerability and Life Cycle , Sasith Maduranga Rajasooriya

Bayesian Artificial Neural Networks in Health and Cybersecurity , Hansapani Sarasepa Rodrigo

Real-time Classification of Biomedical Signals, Parkinson’s Analytical Model , Abolfazl Saghafi

Lump, complexiton and algebro-geometric solutions to soliton equations , Yuan Zhou

Theses/Dissertations from 2016 2016

A Statistical Analysis of Hurricanes in the Atlantic Basin and Sinkholes in Florida , Joy Marie D'andrea

Statistical Analysis of a Risk Factor in Finance and Environmental Models for Belize , Sherlene Enriquez-Savery

Putnam's Inequality and Analytic Content in the Bergman Space , Matthew Fleeman

On the Number of Colors in Quandle Knot Colorings , Jeremy William Kerr

Statistical Modeling of Carbon Dioxide and Cluster Analysis of Time Dependent Information: Lag Target Time Series Clustering, Multi-Factor Time Series Clustering, and Multi-Level Time Series Clustering , Doo Young Kim

Some Results Concerning Permutation Polynomials over Finite Fields , Stephen Lappano

Hamiltonian Formulations and Symmetry Constraints of Soliton Hierarchies of (1+1)-Dimensional Nonlinear Evolution Equations , Solomon Manukure

Modeling and Survival Analysis of Breast Cancer: A Statistical, Artificial Neural Network, and Decision Tree Approach , Venkateswara Rao Mudunuru

Generalized Phase Retrieval: Isometries in Vector Spaces , Josiah Park

Leonard Systems and their Friends , Jonathan Spiewak

Resonant Solutions to (3+1)-dimensional Bilinear Differential Equations , Yue Sun

Statistical Analysis and Modeling Health Data: A Longitudinal Study , Bhikhari Prasad Tharu

Global Attractors and Random Attractors of Reaction-Diffusion Systems , Junyi Tu

Time Dependent Kernel Density Estimation: A New Parameter Estimation Algorithm, Applications in Time Series Classification and Clustering , Xing Wang

On Spectral Properties of Single Layer Potentials , Seyed Zoalroshd

Theses/Dissertations from 2015 2015

Analysis of Rheumatoid Arthritis Data using Logistic Regression and Penalized Approach , Wei Chen

Active Tile Self-assembly and Simulations of Computational Systems , Daria Karpenko

Nearest Neighbor Foreign Exchange Rate Forecasting with Mahalanobis Distance , Vindya Kumari Pathirana

Statistical Learning with Artificial Neural Network Applied to Health and Environmental Data , Taysseer Sharaf

Radial Versus Othogonal and Minimal Projections onto Hyperplanes in l_4^3 , Richard Alan Warner

Ensemble Learning Method on Machine Maintenance Data , Xiaochuang Zhao

Theses/Dissertations from 2014 2014

Properties of Graphs Used to Model DNA Recombination , Ryan Arredondo

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Home > Statistics > Dissertations, Theses, and Student Work

Statistics, Department of

Department of statistics: dissertations, theses, and student work.

Measuring Jury Perception of Explainable Machine Learning and Demonstrative Evidence , Rachel Rogers

Examining the Effect of Word Embeddings and Preprocessing Methods on Fake News Detection , Jessica Hauschild

Exploring Experimental Design and Multivariate Analysis Techniques for Evaluating Community Structure of Bacteria in Microbiome Data , Kelsey Karnik

Human Perception of Exponentially Increasing Data Displayed on a Log Scale Evaluated Through Experimental Graphics Tasks , Emily Robinson

Factors Influencing Student Outcomes in a Large, Online Simulation-Based Introductory Statistics Course , Ella M. Burnham

Comparing Machine Learning Techniques with State-of-the-Art Parametric Prediction Models for Predicting Soybean Traits , Susweta Ray

Using Stability to Select a Shrinkage Method , Dean Dustin

Statistical Methodology to Establish a Benchmark for Evaluating Antimicrobial Resistance Genes through Real Time PCR assay , Enakshy Dutta

Group Testing Identification: Objective Functions, Implementation, and Multiplex Assays , Brianna D. Hitt

Community Impact on the Home Advantage within NCAA Men's Basketball , Erin O'Donnell

Optimal Design for a Causal Structure , Zaher Kmail

Role of Misclassification Estimates in Estimating Disease Prevalence and a Non-Linear Approach to Study Synchrony Using Heart Rate Variability in Chickens , Dola Pathak

A Characterization of a Value Added Model and a New Multi-Stage Model For Estimating Teacher Effects Within Small School Systems , Julie M. Garai

Methods to Account for Breed Composition in a Bayesian GWAS Method which Utilizes Haplotype Clusters , Danielle F. Wilson-Wells

Beta-Binomial Kriging: A New Approach to Modeling Spatially Correlated Proportions , Aimee Schwab

Simulations of a New Response-Adaptive Biased Coin Design , Aleksandra Stein

MODELING THE DYNAMIC PROCESSES OF CHALLENGE AND RECOVERY (STRESS AND STRAIN) OVER TIME , Fan Yang

A New Approach to Modeling Multivariate Time Series on Multiple Temporal Scales , Tucker Zeleny

A Reduced Bias Method of Estimating Variance Components in Generalized Linear Mixed Models , Elizabeth A. Claassen

NEW STATISTICAL METHODS FOR ANALYSIS OF HISTORICAL DATA FROM WILDLIFE POPULATIONS , Trevor Hefley

Informative Retesting for Hierarchical Group Testing , Michael S. Black

A Test for Detecting Changes in Closed Networks Based on the Number of Communications Between Nodes , Christopher S. Wichman

GROUP TESTING REGRESSION MODELS , Boan Zhang

A Comparison of Spatial Prediction Techniques Using Both Hard and Soft Data , Megan L. Liedtke Tesar

STUDYING THE HANDLING OF HEAT STRESSED CATTLE USING THE ADDITIVE BI-LOGISTIC MODEL TO FIT BODY TEMPERATURE , Fan Yang

Estimating Teacher Effects Using Value-Added Models , Jennifer L. Green

SEQUENCE COMPARISON AND STOCHASTIC MODEL BASED ON MULTI-ORDER MARKOV MODELS , Xiang Fang

DETECTING DIFFERENTIALLY EXPRESSED GENES WHILE CONTROLLING THE FALSE DISCOVERY RATE FOR MICROARRAY DATA , SHUO JIAO

Spatial Clustering Using the Likelihood Function , April Kerby

FULLY EXPONENTIAL LAPLACE APPROXIMATION EM ALGORITHM FOR NONLINEAR MIXED EFFECTS MODELS , Meijian Zhou

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Home > FACULTIES > Statistical and Actuarial Sciences > STATS-ETD

Statistics and Actuarial Sciences Theses and Dissertations

This collection contains theses and dissertations from the Department of Statistics and Actuarial Sciences, collected from the Scholarship@Western Electronic Thesis and Dissertation Repository

Theses/Dissertations from 2024 2024

Studies of compound risk models with dependence and parameter uncertainty , Dechen Gao

GUARANTEED MINIMUM BENEFITS EMBEDDED IN VARIABLE ANNUITIES: PRICING AND RISK ANALYSIS , Yiming Huang

The Application of Elastic Distance in Astrophysical Time Series , Xiyang Zhang

Theses/Dissertations from 2023 2023

Parameter Estimation for Normally Distributed Grouped Data and Clustering Single-Cell RNA Sequencing Data via the Expectation-Maximization Algorithm , Zahra Aghahosseinalishirazi

Statistical modelling and applications for sustainable-development goals , Yiyang Chen

Multivariate Regression Analysis for Data with Measurement Error, Missing Values, and/or Sparsity Structures , Jingyu Cui

Addressing the Impact of Time-Dependent Social Groupings on Animal Survival and Recapture Rates in Mark-Recapture Studies , Alexandru M. Draghici

Generalized Poisson random variables: Their distributional properties and actuarial applications , Pouya Faroughi

Optimizing Dynamic Treatment Regimes with Q-Learning: Complications due to Error-Prone Data and Applications to COVID-19 Data , Yasin Khadem Charvadeh

Estimating the spatial correlation structure of measurement error in functional magnetic resonance imaging (fMRI) to improve multivariate inference , Lingling Lin

Cyber risk valuation via a hidden Markov-modulated modelling approach , Yuying Li

Advances in Copula Estimation and Distribution Theory , Yishan Zang

Modelling long-term security returns , XINGHAN ZHU

Theses/Dissertations from 2022 2022

Efficiency Improvements in the Least-Squares Monte Carlo Algorithm , François-Michel Boire

Portfolio Optimization Analysis in the Family of 4/2 Stochastic Volatility Models , Yuyang Cheng

Early-Warning Alert Systems for Financial-Instability Detection: An HMM-Driven Approach , Xing Gu

The Analysis of Mark-recapture Data with Individual Heterogeneity via the H-likelihood , Han-na Kim

Statistical Applications to the Management of Intensive Care and Step-down Units , Yawo Mamoua Kobara

Regression-based Methods for Dynamic Treatment Regimes with Mismeasured Covariates or Misclassified Response , Dan Liu

Statistical Roles of the G-expectation Framework in Model Uncertainty: the Semi-G-structure as a Stepping Stone , Yifan Li

Risk theory: data-driven models , Yang Miao

New Developments on the Estimability and the Estimation of Phase-Type Actuarial Models , Cong Nie

Copulas, maximal dependence, and anomaly detection in bi-variate time series , Ning Sun

Interdisciplinary Knowledge Exchange in Statistics with Applications in Fire Science and Statistical Education , Chelsea Uggenti

On the Geometry of Multi-Affine Polynomials , Junquan Xiao

Understanding Deep Learning with Noisy Labels , Li Yi

An Analysis of Weighted Least Squares Monte Carlo , Xiaotian Zhu

Application Of A Polynomial Affine Method In Dynamic Portfolio Choice , Yichen Zhu

Theses/Dissertations from 2021 2021

A class of phase-type ageing models and their lifetime distributions , Boquan Cheng

Application of Stochastic Control to Portfolio Optimization and Energy Finance , Junhe Chen

Making Sense of Noisy Data: Theory and Applications , Lingzhi Chen

The Mean-Reverting 4/2 Stochastic Volatility Model: Properties And Financial Applications , Zhenxian Gong

Compound Sums, Their Distributions, and Actuarial Pricing , Ang Li

On the Estimation of Heston-Nandi GARCH Using Returns and/or Options: A Simulation-based Approach , Xize Ye

Theses/Dissertations from 2020 2020

A Treatise of PD-LGD Correlation Modelling , Wisdom S. Avusuglo WSA

Visualization and Joint Analysis of Monitored Multivariate Spatio-Temporal Data with Applications to Forest Fire Modelling and Sports Analytics , Devan Becker

Generalized 4/2 Factor Model , Yuyang Cheng

Renewable-energy resources, economic growth and their causal link , Yiyang Chen

Some Insurance Options on Stochastic Drawdowns , Filip Dikic

Extensions of Classification Method Based on Quantiles , Yuanhao Lai

Point Process Modelling of Objects in the Star Formation Complexes of the M33 Galaxy , Dayi Li

Classification-based method for estimating dynamic treatment regimes , Junwei Shen

Statistical Methods with a Focus on Joint Outcome Modeling and on Methods for Fire Science , Da Zhong Xi

Ranking comments: An Entropy-based Method with Word Embedding Clustering , Yuyang Zhang

Theses/Dissertations from 2019 2019

A computationally efficient methodology in pricing a guaranteed minimum accumulation benefit , Yiming Huang

Some Recent Developments on Pareto-optimal Reinsurance , Wenjun Jiang

Classification with Measurement Error in Covariates Or Response, with Application to Prostate Cancer Imaging Study , Kexin Luo

Exploring the Estimability of Mark-Recapture Models with Individual, Time-Varying Covariates using the Scaled Logit Link Function , Jiaqi Mu

Split credibility: A two-dimensional semi-linear credibility model , Jingbing Qiu

Advances in Moment-Based Distributional Methodologies , Yishan Zang

How to Rank Answers in Text Mining , Guandong Zhang

On the Sparre-Andersen Risk Models , Ruixi Zhang

Valuation and Risk Management of Some Longevity and P&C Insurance Products , Yixing Zhao

Theses/Dissertations from 2018 2018

Modelling the Common Risk among Equities Using a New Time Series Model , Jingjia Chu

Stochastic modelling of implied correlation index and herd behavior index. Evidence, properties and pricing. , Lin Fang

Optimal Trading of a Storable Commodity via Forward Markets , Behzad Ghafouri

Statistical Modeling of CO2 Flux Data , Fang He

Advances in the Modeling of Heavy-tailed Distributions , Sang Jin Kang

The Statistical Exploration in the $G$-expectation Framework: The Pseudo Simulation and Estimation of Variance Uncertainty , Yifan Li

Statistical tools for assessment of spatial properties of mutations observed under the microarray platform , Bin Luo

Valuation of Multiple Exercise Option Using a Modified Longstaff and Schwartz Approach , Rahim Mohammadhasani Khorasany

Statistical Applications in Healthcare Systems , Maryam Mojalal

Exact Box-Cox Analysis , Samira Soleymani

Anisotropic kernel smoothing for change-point data with an analysis of fire spread rate variability , John Ronald James Thompson

Some applications of higher-order hidden Markov models in the exotic commodity markets , Heng Xiong

Advances in Semi-Nonparametric Density Estimation and Shrinkage Regression , Hossein Zareamoghaddam

Analysis Challenges for High Dimensional Data , Bangxin Zhao

Theses/Dissertations from 2017 2017

Properties of k-isotropic functions , Tianpei Jiang

Data-Adaptive Kernel Support Vector Machine , Xin Liu

Annuity Product Valuation and Risk Measurement under Correlated Financial and Longevity Risks , Soohong Park

Statistical Modelling, Optimal Strategies and Decisions in Two-Period Economies , Jiang Wu

Theses/Dissertations from 2016 2016

Joint Models for Spatial and Spatio-Temporal Point Processes , Alisha Albert-Green

Applications of Credit Scoring Models , Mimi Mei Ling Chong

Joint Analysis of Zero-heavy Longitudinal Outcomes: Models and Comparison of Study Designs , Erin R. Lundy

Data Smoothing Techniques: Historical and Modern , Lori L. Murray

Joint Modelling in Liver Transplantation , Elizabeth M. Renouf

Probability Models for Health Care Operations with Application to Emergency Medicine , Azaz Bin Sharif

Advances in Portmanteau Diagnostic Tests , Jinkun Xiao

Actuarial Modelling with Mixtures of Markov Chains , Yuzhou Zhang

Theses/Dissertations from 2015 2015

Healthy And Unhealthy Statistics: Examining The Impact Of Erroneous Statistical Analyses In Health-Related Research , Britney Allen

Recent Advances in Accumulating Priority Queues , Na Li

Quantitative Techniques for Spread Trading in Commodity Markets , Mir Hashem Moosavi Avonleghi

A Novel Method for Assessing Co-monotonicity: an Interplay between Mathematics and Statistics with Applications , Danang T. Qoyyimi

Completely monotone and Bernstein functions with convexity properties on their measures , Shen Shan

Online Nonparametric Estimation of Stochastic Differential Equations , Xin Wang

On the Dual Risk Models , Chen Yang

Theses/Dissertations from 2014 2014

Statistical methods for the analysis of RNA sequencing data , Man-Kee Maggie Chu

Valuation and Risk Measurement of Guaranteed Annuity Options under Stochastic Environment , Huan Gao

Statistical Applications in Wildfire Management and Prediction , Lengyi Han

Computing and Approximation Methods for the Distribution of Multivariate Aggregate Claims , Tao Jin

The Doubly Adaptive LASSO Methods for Time Series Analysis , Zi Zhen Liu

Risk models with dependence and perturbation , Zhong Li

Censored Time Series Analysis , Nagham Muslim Mohammad

A Spatial Analysis of Forest Fire Survival and a Marked Cluster Process for Simulating Fire Load , Amy A. Morin

Estimation of Hidden Markov Models and Their Applications in Finance , Anton Tenyakov

Perfect and Nearly Perfect Sampling of Work-conserving Queues , Yaofei Xiong

Decision Theory Based Models in Insurance and Beyond , Raymond Ye Zhang

Theses/Dissertations from 2013 2013

Seasonal Decomposition for Geographical Time Series using Nonparametric Regression , Hyukjun Gweon

Stochastic simulation and spatial statistics of large datasets using parallel computing , Jonathan SW Lee

Flexible Partially Linear Single Index Regression Models for Multivariate Survival Data , Na Lei

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Browsing FAS Theses and Dissertations by FAS Department "Statistics"

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A Grand Journey of Statistical Hierarchical Modelling 

Advances in empirical bayes modeling and bayesian computation , advances in statistical network modeling and nonlinear time series modeling , advances in the normal-normal hierarchical model , analysis, modeling, and optimal experimental design under uncertainty: from carbon nano-structures to 3d printing , bayesian biclustering on discrete data: variable selection methods , bayesian learning of relationships , a bayesian perspective on factorial experiments using potential outcomes , building interpretable models: from bayesian networks to neural networks , causal inference under network interference: a framework for experiments on social networks , complications in causal inference: incorporating information observed after treatment is assigned , diagnostic tools in missing data and causal inference on time series , dilemmas in design: from neyman and fisher to 3d printing , distributed and multiphase inference in theory and practice: principles, modeling, and computation for high-throughput science , essays in causal inference and public policy , expediting scientific discoveries with bayesian statistical methods , exploring objective causal inference in case-noncase studies under the rubin causal model , exploring the role of randomization in causal inference , extensions of randomization-based methods for causal inference , g-squared statistic for detecting dependence, additive modeling, and calibration concordance for astrophysical data .

PhD Dissertations

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Mathematics PhD theses

A selection of Mathematics PhD thesis titles is listed below, some of which are available online:

2023   2022   2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991

Reham Alahmadi - Asymptotic Study of Toeplitz Determinants with Fisher-Hartwig Symbols and Their Double-Scaling Limits

Anne Sophie Rojahn –  Localised adaptive Particle Filters for large scale operational NWP model

Melanie Kobras –  Low order models of storm track variability

Ed Clark –  Vectorial Variational Problems in L∞ and Applications to Data Assimilation

Katerina Christou – Modelling PDEs in Population Dynamics using Fixed and Moving Meshes  

Chiara Cecilia Maiocchi –  Unstable Periodic Orbits: a language to interpret the complexity of chaotic systems

Samuel R Harrison – Stalactite Inspired Thin Film Flow

Elena Saggioro – Causal network approaches for the study of sub-seasonal to seasonal variability and predictability

Cathie A Wells – Reformulating aircraft routing algorithms to reduce fuel burn and thus CO 2 emissions  

Jennifer E. Israelsson –  The spatial statistical distribution for multiple rainfall intensities over Ghana

Giulia Carigi –  Ergodic properties and response theory for a stochastic two-layer model of geophysical fluid dynamics

André Macedo –  Local-global principles for norms

Tsz Yan Leung  –  Weather Predictability: Some Theoretical Considerations

Jehan Alswaihli –  Iteration of Inverse Problems and Data Assimilation Techniques for Neural Field Equations

Jemima M Tabeart –  On the treatment of correlated observation errors in data assimilation

Chris Davies –  Computer Simulation Studies of Dynamics and Self-Assembly Behaviour of Charged Polymer Systems

Birzhan Ayanbayev –  Some Problems in Vectorial Calculus of Variations in L∞

Penpark Sirimark –  Mathematical Modelling of Liquid Transport in Porous Materials at Low Levels of Saturation

Adam Barker –  Path Properties of Levy Processes

Hasen Mekki Öztürk –  Spectra of Indefinite Linear Operator Pencils

Carlo Cafaro –  Information gain that convective-scale models bring to probabilistic weather forecasts

Nicola Thorn –  The boundedness and spectral properties of multiplicative Toeplitz operators

James Jackaman  – Finite element methods as geometric structure preserving algorithms

Changqiong Wang - Applications of Monte Carlo Methods in Studying Polymer Dynamics

Jack Kirk - The molecular dynamics and rheology of polymer melts near the flat surface

Hussien Ali Hussien Abugirda - Linear and Nonlinear Non-Divergence Elliptic Systems of Partial Differential Equations

Andrew Gibbs - Numerical methods for high frequency scattering by multiple obstacles (PDF-2.63MB)

Mohammad Al Azah - Fast Evaluation of Special Functions by the Modified Trapezium Rule (PDF-913KB)

Katarzyna (Kasia) Kozlowska - Riemann-Hilbert Problems and their applications in mathematical physics (PDF-1.16MB)

Anna Watkins - A Moving Mesh Finite Element Method and its Application to Population Dynamics (PDF-2.46MB)

Niall Arthurs - An Investigation of Conservative Moving-Mesh Methods for Conservation Laws (PDF-1.1MB)

Samuel Groth - Numerical and asymptotic methods for scattering by penetrable obstacles (PDF-6.29MB)

Katherine E. Howes - Accounting for Model Error in Four-Dimensional Variational Data Assimilation (PDF-2.69MB)

Jian Zhu - Multiscale Computer Simulation Studies of Entangled Branched Polymers (PDF-1.69MB)

Tommy Liu - Stochastic Resonance for a Model with Two Pathways (PDF-11.4MB)

Matthew Paul Edgington - Mathematical modelling of bacterial chemotaxis signalling pathways (PDF-9.04MB)

Anne Reinarz - Sparse space-time boundary element methods for the heat equation (PDF-1.39MB)

Adam El-Said - Conditioning of the Weak-Constraint Variational Data Assimilation Problem for Numerical Weather Prediction (PDF-2.64MB)

Nicholas Bird - A Moving-Mesh Method for High Order Nonlinear Diffusion (PDF-1.30MB)

Charlotta Jasmine Howarth - New generation finite element methods for forward seismic modelling (PDF-5,52MB)

Aldo Rota - From the classical moment problem to the realizability problem on basic semi-algebraic sets of generalized functions (PDF-1.0MB)

Sarah Lianne Cole - Truncation Error Estimates for Mesh Refinement in Lagrangian Hydrocodes (PDF-2.84MB)

Alexander J. F. Moodey - Instability and Regularization for Data Assimilation (PDF-1.32MB)

Dale Partridge - Numerical Modelling of Glaciers: Moving Meshes and Data Assimilation (PDF-3.19MB)

Joanne A. Waller - Using Observations at Different Spatial Scales in Data Assimilation for Environmental Prediction (PDF-6.75MB)

Faez Ali AL-Maamori - Theory and Examples of Generalised Prime Systems (PDF-503KB)

Mark Parsons - Mathematical Modelling of Evolving Networks

Natalie L.H. Lowery - Classification methods for an ill-posed reconstruction with an application to fuel cell monitoring

David Gilbert - Analysis of large-scale atmospheric flows

Peter Spence - Free and Moving Boundary Problems in Ion Beam Dynamics (PDF-5MB)

Timothy S. Palmer - Modelling a single polymer entanglement (PDF-5.02MB)

Mohamad Shukor Talib - Dynamics of Entangled Polymer Chain in a Grid of Obstacles (PDF-2.49MB)

Cassandra A.J. Moran - Wave scattering by harbours and offshore structures

Ashley Twigger - Boundary element methods for high frequency scattering

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• Subsequent musculoskeletal injury after concussion in National Football League players
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• http://orcid.org/0000-0001-5957-5878 Erin B Wasserman 1 ,
• Alexandra Chretien 1 ,
• http://orcid.org/0000-0002-3670-6609 Kimberly G Harmon 2 ,
• http://orcid.org/0000-0002-1478-8068 Margot Putukian 3 ,
• David Okonkwo 4 ,
• http://orcid.org/0000-0002-1842-9759 Gary S Solomon 5 , 6 ,
• Javier Cardenas 6 , 7 ,
• Mackenzie M Herzog 1 ,
• Allen Sills 5 , 6 ,
• Christina D Mack 1
• 1 IQVIA Inc , Durham , North Carolina , USA
• 2 University of Washington , Seattle , Washington , USA
• 3 Major League Soccer , New York , New York , USA
• 4 University of Pittsburgh , Pittsburgh , Pennsylvania , USA
• 5 Vanderbilt University , Nashville , Tennessee , USA
• 6 National Football League , New York , New York , USA
• 7 West Virginia University , Morgantown , West Virginia , USA
• Correspondence to Dr Christina D Mack; christina.mack{at}iqvia.com

Objective To assess whether National Football League (NFL) players diagnosed with a concussion have an increased risk of injury after return to football.

Methods A retrospective cohort study analysed the hazard of subsequent time-loss lower extremity (LEX) or any musculoskeletal injury among NFL players diagnosed with a concussion in 2015–2021 preseason or regular season games compared with: (1) all non-concussed players participating in the same game and (2) players with time-loss upper extremity injury. Cox proportional hazards models were adjusted for number of injuries and concussions in the prior year, player tenure and roster position. Additional models accounted for time lost from participation after concussion.

Results There was no statistical difference in the hazards of LEX injury or any musculoskeletal injury among concussed players compared with non-concussed players, though concussed players had a slightly elevated hazard of injury (LEX injury: HR=1.12, 95% CI 0.90 to 1.41; any musculoskeletal injury: HR=1.08, 95% CI: 0.89 to 1.31). When comparing to players with upper extremity injuries, the hazard of injury for concussed players was not statistically different, though HRs suggested a lower injury risk among concussed players (LEX injury: HR=0.78, 95% CI: 0.60 to 1.02; any musculoskeletal injury: HR=0.82, 95% CI: 0.65 to 1.04).

Conclusion We found no statistical difference in the risk of subsequent injury among NFL players returning from concussion compared with non-concussed players in the same game or players returning from upper extremity injury. These results suggest deconditioning or other factors associated with lost participation time may explain subsequent injury risk in concussed players observed in some settings after return to play.

• Brain Concussion
• Sporting injuries
• Cohort Studies

Data availability statement

No data are available.

https://doi.org/10.1136/bjsports-2023-107970

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X @DrKimHarmon, @Mputukian

Contributors EW, AC, MH and CM had full access to all of the data in the study and takes responsibility for the integrity of the data and the accuracy of the data analysis, EW as guarantor. All authors contributed to the concept and design of the manuscript, results interpretation drafting of the manuscript and critical revision of the manuscript for important intellectual content. EW, MH and AC completed the acquisition, analysis or interpretation of data as well as the statistical analysis. EW, MH, CM and AC provided administrative, technical or material support. CM, MH and EW provided analytic supervision.

Funding The curation, build and analytics in the NFL Injury Database are funded by the NFL/NFLPA.

Competing interests EW, AC, MH and CM are employees of IQVIA, which is in a paid consultancy with the NFL. GSS is a paid consultant to the NFL. MP is a Senior Advisor for the NFL Head Neck & Spine Committee, a member of the NFL General Medical Committee and a paid consultant to MLS. JC is the Vice Chair of the NFL Head Neck & Spine Committee and a paid consultant to the NFL. AS is a full-time employee of the NFL.

Patient and public involvement Patients and/or the public were not involved in the design, or conduct, or reporting, or dissemination plans of this research.

Provenance and peer review Not commissioned; externally peer reviewed.

Supplemental material This content has been supplied by the author(s). It has not been vetted by BMJ Publishing Group Limited (BMJ) and may not have been peer-reviewed. Any opinions or recommendations discussed are solely those of the author(s) and are not endorsed by BMJ. BMJ disclaims all liability and responsibility arising from any reliance placed on the content. Where the content includes any translated material, BMJ does not warrant the accuracy and reliability of the translations (including but not limited to local regulations, clinical guidelines, terminology, drug names and drug dosages), and is not responsible for any error and/or omissions arising from translation and adaptation or otherwise.

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2024 fantasy football draft kit: Rankings, cheat sheet, player projections, sleepers and more

NFL training camps are underway, which can only mean, with apologies to Andy Williams, we’ve arrived at the most wonderful time of the year — fantasy football draft season! Are you ready? Because we are ready to help you get off to a flying start for the 2024 campaign.

In this draft kit, you’ll find everything you need to prep for draft/auction day: rankings, projections, sleepers, stock watch, dynasty advice, player profiles and training camp reports from The Athletic ’s NFL writers, and the “bell-cow back” of our yearly preseason coverage — The Cheat Sheet , a fully customizable tool that allows you to input your league rules and settings and get a personalized set of rankings and point projections, all from the mind of the award-winning Jake Ciely, one of the most accurate prognosticators in all of fantasy sports.

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Just remember that this draft kit is ever-growing, with columns being added regularly as we get closer to the start of the season. Check in often to see what’s new — last year we had over 130 columns to help with your prep.

So dig in and enjoy! And be sure to drop any questions or concerns below in the comment section.

Thank you for reading! Let the march to a 2024 fantasy football league title begin now…

Rankings, Projections, Cheat Sheets, Mocks

• Cheat sheet: Customizable projections/rankings tool   (Ciely)
• Fantasy football 2024 player rankings (Ciely)
• Big Board: Top 100 players for 2024 (Funston)
• IDP leagues: Top 100 overall, top 50 by position, sleepers (Davenport)
• 2024 QB rankings, including ‘upside’ and ‘downside’ scores (Joyner)
• One-man mock for the first round of PPR drafts (Davenport)
• The Athletic strategy mock draft: ZeroRB, best available, more (Staff)
• Popular strategies, personas fantasy football mock draft (Miller)
• SuperFlex draft recap: Insights from the FLEX league (Martinez)
• Dynasty players rankings and rookie-only rankings (Ciely)
• Backfield breakdown: Ranking the top backup RBs for 2024 (Joyner)

Sleepers, Breakouts, Busts, ADP, ‘My Guys’

• The Athletic sleepers: Jayden Daniels, Jaxon Smith-Njigba, more (Staff)
• All-Overvalued team: Kyren Williams, Deebo Samuel, more (Davenport)
• Dynasty sleepers: Cedric Tillman, Deneric Prince, more (Haverlack)
• Jake Ciely’s 2024 breakouts: Running Back | Wide Receiver | Tight End
• ADP watch: July risers (Nick Chubb), fallers (Kyren Williams) (Martinez) 
• Michael Salfino’s SFB14 draft review: All in on the Falcons, and more
• Renee Miller’s ‘My Guys’: Raheem Mostert, Nico Collins and more
• Jay Felicio’s ‘My Guys’: Bijan Robinson, Chris Godwin and more
• Gary Davenport’s ‘My Guys’: Caleb Williams, Amari Cooper and more
• Dane Martinez’s ‘My Guys’: Derrick Henry, Kyle Pitts and more
• Top 5 most improved QB situations for fantasy football 2024 (Ciely)
• Overpriced early ADPs: Puka Nacua, Jahmyr Gibbs and more (Salfino)
• Early ADP bargains: Bengals RBs, Dontayvion Wicks, more (Salfino)
• Fantasy football breakout picks for all 32 NFL teams (NFL beat writers)

Dynasty, Keepers, Rookies

• Takeover/makover: Flipping a newly-acquired dynasty team (Vorkunov)
• Training camp storylines to watch for dynasty leagues (Haverlack)
• Dynasty buy-lows: Justin Fields, Darnell Mooney, more (Haverlack)
• Dynasty tiered rankings: Top 200 players (Haverlack)
• 2024 NFL Draft fantasy football grades for every skill player (Ciely)
• 2024 NFL Draft spin: Winners, losers, analysis and more (Ciely)
• Dynasty bargain bin: Devalued players to target (Haverlack)
• Dynasty decisions: Players to buy, sell or hold (Haverlack)
• Dynasty rookie mock draft for SuperFlex formats (Haverlack)
• Dynasty mailbag: Draft strategy, most underrated rookie (Haverlack)

Strategy, Profiles, Injuries, NFL Beat Writers

• Using George Kittle to show why consistency is overrated (Salfino)
• SuperFlex strategy: When to draft QBs, where to find value (Waterloo)
• Snake draft strategy: Roster format makes all the difference (Salfino)
• Auction league strategy: The ideal stars-and-scrubs approach (Salfino)
• $1 auction league targets: Deuce Vaughn, Jahan Dotson, more (Felicio)
• Best ball stack strategy: Expected leaders; best, worst values (Laghezza)
• Draft strategy primer: Hero RB, bully TE, late QB, more (Gremminger)
• Health outlooks for players returning from injury in 2024 (Scholz)
• Buyer beware: The second round of 2024 drafts is a minefield (Salfino)
• Top 10 training camp storylines: Holdouts, faces in new places (Jones)
• Dalton Kincaid: The pros and cons of drafting the Bills’ TE ( Buscaglia )
• George Pickens: Now Steelers’ No. 1 WR, fantasy value rising (Kaboly)
• Bijan Robinson: How will new regime affect fantasy value? (Kendall)
• Jordan Love: Will he ride momentum to top of QB class? (Scheidman)
• Offseason observations for all 32 NFL teams (NFL beat writers)

Roundtables, Mailbags, Debates and More

• Mailbag: HeroRB worthy backs, first-timer tips and more (Felicio)
• 70+ stats you need to know for fantasy football 2024 (Gremminger)
• RB advanced stats that matter for fantasy football (Laghezza)
• QB advanced passing stats that matter for fantasy football (Laghezza)
• Mid-round standouts: Amari Cooper, Brock Bowers, more (Joyner)
• QB roundtable: Top 5 overall, SuperFlex pairings and more (Staff)
• Debate: Travis Etienne vs. De’Von Achane (Davenport, Laghezza)
• Debate: Jonathan Taylor vs. Saquon Barkley (Ciely, Martinez)
• Debate: Ja’Marr Chase vs. Justin Jefferson (Gremminger, Ronis)
• Grading the biggest offseason moves (Joyner, Davenport)

Free, daily NFL updates direct to your inbox.

• NFC West: Big questions, fantasy sleepers and more   (Scoop City)
• AFC West: Big questions, fantasy sleepers and more (Scoop City)
• NFC North: Big questions, fantasy sleepers and more (Scoop City)
• AFC North: Big questions, fantasy sleepers and more (Scoop City)
• NFC East: Big questions, fantasy sleepers and more (Scoop City)
• AFC East: Big questions, fantasy sleepers and more (Scoop City)

Our blank printable roster page

(Top image: Dan Goldfarb/The Athletic — Photos: CeeDee Lamb : Cooper Neill/Getty Images; Jordan Love : Stacy Revere/Getty Images; Sam LaPorta : Gregory Shamus/ Getty Images; Bijan Robinson : Todd Kirkland/Getty Images; Puka Nacua : Ryan Kang/Getty Images; C.J. Stroud : Michael Owens/Getty Images; De’Von Achane : Cooper Neill/Getty Images; Jonathan Taylor : Cooper Neill/Getty Images)

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