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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

Optimal Selection of Good Polynomials and Constructions of Locally Recoverable Codes via Galois Theory , Austin Dukes

Improvements in Computational Techniques For Determining Ideal Class Groups and Class Numbers , Muhammed Rashad Erukulangara

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

Statistical Analysis of Ribonucleotide Incorporation in Human Cells , Tejasvi Channagiri

Matrix Models of 2D Critical Phenomena , Nathan Hayford

Data-Driven Learning Algorithm Via Densely-Defined Multiplication Operators and Occupation Kernels. , John Kyei

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

Recovering generators of principal ideals using subfield structure and applications to cryptography , William Youmans

Theses/Dissertations from 2022 2022

Application of the Riemann-Hilbert method to soliton solutions of a nonlocal reverse-spacetime Sasa-Satsuma equation and a higher-order reverse-time NLS-type equation , Ahmed Ahmed

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

Methods in Discrete Mathematics to Study DNA Rearrangement Processes , Lina Fajardo Gómez

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

Adversarial and Data Poisoning Attacks against Deep Learning , Jing Lin

Exploring the Vulnerability of A Neural Tangent Generalization Attack (NTGA) - Generated Unlearnable CIFAR-10 Dataset , Gitte Ost

Statistical Methods for Reliability Test planning and Data Analysis , Oluwaseun Elizabeth Otunuga

Boundary behavior of analytic functions and Approximation Theory , Spyros Pasias

Effective Statistical and Machine Learning Methods to Analyze Children's Vocabulary Learning , Houston T. Sanders

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

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Qualitative & Quantitative data analysis

List of Best Statistics Research Topics & Ideas

Statistics is a demanding subject that deals with the collection, analysis, interpretation, evaluation, and management of numeric data. The topic selection of the statistics dissertation can involve the subfields of statistics, i.e. Probability Theory, Mathematical Statistics, Design of Experiments, Sampling, Classification, and Time Series.

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List of Best Statistics Research Topics with Aims & Objectives

Bayesian Methods for Functional and Time Series

Objectives:

To explore all new bayesian methods which are used in statistical analysis.
To introduce new methodology of bayesian which are suitable for functional and time series data.
To exhibit the functional challenges provided by the methodology.
Kernel Regression Using the Four Fourier Transform

To explore the methods of kernel regression

To demonstrate the method of speeding up the computation of kernel.

To analyse the FFT to improve the computation of kernel.

Difficulties in Learning Basic Concepts in Probability and Statistics: Implications of Research.

To explore the importance of statistics and probability.

To examine the different methods of statistics and probability used in education system.

To provide the need for collaborative and cross-disciplinary in researches.

A Guide to Doing Statistics in Second Language Research Using SPSS

To explore the concepts behind the usage of statistics in different domains.

To examine the concept of statistics in Second Language.

To study and implement the SPSS software in statistics.

Prediction Interval Methods for Reliability Data

To study the importance of Prediction in statistics.

To analyse the statistical Prediction methods in statistics theory.

To examine the different methods of Prediction interval under the parametric framework.

Relevance of Tests of Significances Uses and Limitations.

To study the importance of statistical tools and significance test both in parametric and nonparametric test.

To examine the statistical tools significance in decision making.

To evaluate the statistical significance test in information retrieval.

Interaction Forward Selection in Ultra-High-Dimension Functional Linear Models.

To study the statistical methods for the variable selection in ultra-high dimensional functional linear models.

To propose two forward selection procedures on the basis of coefficients approximation.

To demonstrate the application of the proposed methodologies.

Bayes Methods for Biclustering and Vector Data with Binary Coordinates.

To explore the different method of Bayes and its applications.

To examine the Bayes method for the purpose of biclustering and inference for mixture models.

To represent the performance of model through the simulation and applications to real datasets.

Assessing and Accounting for Correlation in RNA-Seq Data Analysis.

To study the concept behind the RNA- sequence data analysis and its procedure.

To examine the papers on the analysis of RNA- sequence data analysis.

To perform a simulation and validate the proposed methods on the basis of results.

An Exploration of Techniques Used in Data Analytics to Produce Analysed Data in Graphical Format.

To explore the techniques used in data analytics used for various purposes in order to produce visual charts.

To demonstrate the use of python language as a main feature in Data analytics.

Here's the Best PhD Research Topics in Statistics For UK Students

Bayesian Inference Techniques in Improving Predictive Accuracy for Financial Time Series Data, Focusing on Volatility Modelling and Risk Management in Stock Markets.
Impact of Machine Learning Algorithms on Enhancing Predictive Maintenance Accuracy for Manufacturing Systems, Specifically Focusing on Early Failure Detection and Production Downtime Reduction.
Evaluating Statistical Methods for Handling Missing Data in Large-Scale Medical Research Studies, with a Focus on Improving the Robustness and Reliability of Clinical Trial Outcomes.
Role of Non-Parametric Tests in Assessing the Efficacy of New Drug Treatments, Particularly in Situations with Non-Normal Data Distributions or Small Sample Sizes.
Impact of Outlier Detection Techniques on Data Quality and Analysis Accuracy in Environmental Monitoring, Specifically Addressing Challenges in Climate Change and Pollution Data Sets.
Effectiveness of Multivariate Statistical Methods in Identifying Key Predictors of Academic Performance, With Applications in Educational Policy Development and Student Support Services.
Evaluating Time Series Forecasting Models in Predicting Stock Market Volatility, Including the Comparative Analysis of ARIMA, GARCH, and Machine Learning-Based Approaches.
Impact of Sampling Techniques on the Reliability and Validity of Survey Data in Social Sciences, With a Focus on Reducing Sampling Bias and Improving Representativeness.

Unique List of Dissertation Topics For Statistics Students

Assessment of Statistical Models in Predicting Customer Churn in Subscription-Based Services, Including the Role of Survival Analysis and Logistic Regression.
Role of Statistical Quality Control Techniques in Reducing Defects and Improving Consistency in Manufacturing Processes, Focusing on Six Sigma and Control Chart Methods.
Evaluating the Accuracy of Logistic Regression Models in Predicting Disease Outbreaks, Including Their Application to Real-Time Surveillance Data and Public Health Response Strategies.
Impact of Statistical Learning Techniques on Enhancing Image Recognition Accuracy in Computer Vision, With a Focus on Convolutional Neural Networks and Deep Learning.
Effectiveness of Experimental Design in Optimizing Agricultural Yield in Controlled Environments, Specifically Addressing the Application of Randomized Block Design and Factorial Experiments.
Assessment of Survival Analysis Methods in Predicting Patient Outcomes in Clinical Trials, Including the Comparative Efficacy of Cox Proportional Hazards and Kaplan-Meier Estimations.
Role of Statistical Genetics in Identifying Risk Factors for Hereditary Diseases, Focusing on Genome-Wide Association Studies (GWAS) and the Interpretation of High-Dimensional Data.

Complications in Statistics Researches:

This subject is much complicated, further, the implication of the proportions in large quantities under complex theories contribute to the difficulties concerning the subject. That’s why it is hard to find considerable statistics dissertation topics. Moreover, the multiple dimensions of the subject make it more problematic to come up with a focused and comprehensive topic.

Why Choosing a Statistics Dissertation Topic is Hard for Students?

While selecting a topic for a statistics dissertation, you must consider the fundamental idea of statistics, i.e. variation and uncertainty. Certain statistical frameworks and methods are applied to get the results.

The topic of the statistics dissertation should be so close to the subject that you will be able the statistical method in the dissertation and presentation of findings.

There are several reasons which together make it a difficult task for the students to select a worthwhile topic for their statistics dissertation.

Shortage of Ideas

Students usually lack in generating potential ideas concerning different areas and aspects of the subject. That’s why they face difficulty in listing out the suitable statistics topics for the dissertation.

Wider Scope

Statistics has a wide scope. It holds a relation with scientific, industrial, and social problems. So, a dissertation topic for this subject can never stand out alone. Due to this reason, students find it difficult to determine their direction and fail to select a potential topic.

Irrelevant or diversified knowledge

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