Search results | J. Murrey Atkins Library

Title: A partial posterior p value test for multilevel mediation
Author: Cox, Kyle, Kelcey, Benjamin
Date Created: 2023
Subjects--Topical: Statistics, Mathematics
Description: A variety of inferential tests are available for single and multilevel mediation but most come with notable limitations that balance tradeoffs between power and Type I error. We extend the partial posterior p value method (p3 method) to test multi...

Title: RANDOMIZED NUMERICAL LINEAR ALGEBRA FOR KERNEL MATRIX COMPRESSION
Author: Maniar, Saumya Kandarp
Date Created: 2020
Subjects--Topical: Mathematics
Description: Matrices are used significantly as a medium to store data in many applications likeData Science, Computer Science, Statistics, and Applied Mathematics. Matrix computationslike matrix multiplication, matrix inversion, eigenvalue decomposition, sing...

Title: Population Dynamics with Immigration
Author: Han, Dan
Date Created: 2019
Subjects--Topical: Mathematics
Description: The paper contains the complete analysis of the Galton-Watson models with immigration, including the processes in the random environment, stationary or nonstationary ones. We also study the branching random walk on Zd with immigration and prove th...

Title: Path Integral Methods Using Feynman-Kac Formula and Reflecting Brownian Motions for Neumann and Robin Problems
Author: Zhou, Yijing
Date Created: 2016
Subjects--Topical: Mathematics
Description: In this dissertation, we propose numerical methods for computing the boundary local time of reflecting Brownian motion (RBM) in 3d and its use in the probabilistic representation of the solution of the Laplace equation with the Neumann and Robin b...

Title: Quantification of Profile Measurement Data
Author: Javidpour, Farid
Date Created: 2019
Subjects--Topical: Mechanical engineering, Mathematics, Civil engineering
Description: Parts with complicated freeform shapes have been attracting more attention in industrial applications in recent decades. In most systems, the functional performance of these parts is directly related to the conformity of their profile with the des...

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: Distance Based Linear Regression Model And Its Application To Microbiome Association Studies
Author: Sheikhi Kiasari, Masoumeh
Date Created: 2021
Subjects--Topical: Mathematics, Statistics
Description: In the past few decades, pairwise distance based statistical methods have beendeveloped to identify spatial and/or temporal clusters of disease, study the association between the dissimilarity of ecological communities and distance in geographical...

Title: Asymptotic Normality of Higher Order Turing Formulae
Author: Chang, Jie
Date Created: 2022
Subjects--Topical: Mathematics
Description: Higher order Turing formulae, denoted as Tr for r ∈ Z+, are a powerful result allowing one to estimate the total probability associated with words from a random piece of writing, which have been observed exactly r times in a random sample. In part...

Title: Diffusion Processes on Solvable Groups of Upper Triangular 3x3 matrices. Applications in Asian and Basket Options.
Author: Simonsen, Julia
Date Created: 2020
Subjects--Topical: Mathematics
Description: One of the questions in algebraic groups is about the asymptotic behavior of the probability of return of a random walk, which closely related on the growth rate of a group. Upper-triangular matrices form a group. Solvable groups have an exponenti...

Title: A Dynamic Approach to Optimizing Interventions and Mitigating Contagion Impacts in Financial Networks
Author: Farthing, Christopher
Date Created: 2021
Subjects--Topical: Mathematics, Finance, Economics
Description: While modern financial networks are so large, complex, and dynamic that the interactions between their members are impossible to model in their entirety, mathematical models with some simplifying assumptions allow for effective study of network dy...

Title: Computer Implementation of Symplectic Integrators and Their Applications to the N-Body Problem
Author: Casey, Rory
Date Created: 2020
Subjects--Topical: Mathematics, Astronomy
Description: This research has worked to develop a general computer implementation for symplectic algorithms applied to the N-body problem. A program was written to evolve an arbitrary N-body problem with an arbitrary symplectic integration algorithm so long a...

Title: Comparing Effects of Two Grouping Conditions to Teach Algebraic Problem-Solving to Students with Mild Disabilities in Inclusive Settings
Author: Harris, Amber
Date Created: 2009
Subjects--Topical: Special education, Mathematics
Description: This study compared two grouping conditions (Direct Instruction vs. an instructional package containing Direct Instruction, Peer Assisted Learning Strategies, and self-monitoring) on 6th and 7th grade special education students' abilities to solve...

Title: A MESHLESS METHOD WITH ENRICHED BASIS FUNCTIONS FOR SINGULARITY PROBLEMS
Author: Hong, Won-Tak
Date Created: 2009
Subjects--Topical: Mechanical engineering, Mechanics, Mathematics
Description: For the last several decades, the Finite Element Method (FEM) has been a powerful tool in solving challenging science and engineering problems, especially when solution domains have complex geometry. However the mesh refinements and construction o...

Title: Asymptotic Normality of Entropy Estimators
Author: Zhang, Xing
Date Created: 2013
Subjects--Topical: Mathematics
Description: Shannon's entropy plays a central role in many fields of mathematics. In the first chapter, we present a sufficient condition for the asymptotic normality of the plug-in estimator of Shannon's entropy defined on a countable alphabet. The sufficien...

Title: ACCURATE AND EFFICIENT CALCULATION OF SINGULAR ELECTROSTATIC POTENTIALS IN CHARGE-DIELECTRIC SPHERICAL AND JANUS PARTICLE SYSTEMS
Author: Retz, Caylah
Date Created: 2018
Subjects--Topical: Molecular biology, Mathematics, Physics
Description: We introduce an efficient and accurate boundary element method for computing the electrostatic potential in closely-packed dielectric spheres and Janus particles. Close physical proximity occurs in modeling molecular ion interactions or colloidal ...

Title: An Integrated Phylogeographic Analysis of the Bantu Migration
Author: Ford, Colby
Date Created: 2018
Subjects--Topical: Computer science, Mathematics, Genetics
Description: "Bantu" is a term used to describe lineages of people in around 600 different ethnic groups on the African continent ranging from modern-day Cameroon to South Africa. The migration of the Bantu people, which occurred around 3,000 years ago, was in...

Title: EFFECTS OF PEER-MEDIATED INSTRUCTION ON MATHEMATICAL PROBLEM SOLVING FOR STUDENTS WITH MODERATE/SEVERE INTELLECTUAL DISABILITY
Author: Ley Davis, Luann
Date Created: 2016
Subjects--Topical: Special education, Multicultural education, Mathematics
Description: The No Child Left Behind Act (NCLB, 2006) set a precedent that established even higher expectations for all students, including those with disabilities. More recently, the National Governors Association Center for Best Practices and the Council of...

Title: Goodness-of-Fit Tests Under Permutations
Author: Chen, Chen
Date Created: 2019
Subjects--Topical: Statistics, Mathematics, Information science
Description: Several new goodness-of-fit tests are proposed on countable alphabets, where certain fundamental statistical concepts associated with random variables, such as cumulative distribution functions, characteristic functions and moments, may not exist....

Title: IMAGE CHARGE SOLVATION MODEL (ICSM) FOR SIMULATING BIOMOLECULES AND KCSA ION-CHANNELS
Author: Baker, Katherine
Date Created: 2014
Subjects--Topical: Mathematics
Description: We present an order N method for calculating electrostatic interactions that has been integrated into the molecular dynamics portion of the TINKER Molecular Modeling package. This method, termed the Image-Charge Solvation Model (ICSM), and introdu...