Search results | J. Murrey Atkins Library

Title: GENERALIZED QUASI-LIKELIHOOD RATIO TESTS FOR VARYING COEFFICIENT QUANTILE REGRESSION MODELS
Author: Wang, Yonggang
Date Created: 2013
Subjects--Topical: Statistics
Description: Quantile regression models which can track the relationship of predictive variables and the response variable in specific quantiles are especially useful in applications when extreme quantiles instead of the center of the distribution are interest...

Title: GLOBAL CONVERGENCE AND QUASI REVERSIBILITY FOR COEFFICIENT INVERSE PROBLEMS
Author: Kuzhuget, Andrey
Date Created: 2011
Subjects--Topical: Mathematics
Description: An inverse problem of the determination of an initial condition in ahyperbolic equation from the lateral Cauchy data is considered. Thisproblem has applications to the thermoacoustic tomography, as wellas to linearized coefficient inverse problems...

Title: Hybrid solvation models for electrostatic interactions in molecular dynamics simulations of ionic solvent
Author: Xiang, Ming
Date Created: 2012
Subjects--Topical: Mathematics, Biochemistry, Biophysics
Description: In this dissertation, we mainly discuss the image approximation methods to the reaction field and their applications to electrostatic interactions in molecular dynamics simulations. The Poisson-Boltzman (PB) equation, a three-dimensional second or...

Title: ISOGEOMETRIC ANALYSIS AND PATCHWISE REPRODUCING POLYNOMIAL PARTICLE METHOD FOR PLATES
Author: Kim, Hyunju
Date Created: 2013
Subjects--Topical: Mechanical engineering, Mathematics
Description: Isogeometric analysis (IGA) is a framework bridging the gap between Computer Aided Design (CAD) and Finite Element Analysis (FEA). So it drastically reduces the error in the representation of the computational domain and the re-meshing by the use ...

Title: Improving Semiparametric Estimation of Longitudinal Data with Covariance Function
Author: Fang, Fang
Date Created: 2018
Subjects--Topical: Mathematics, Statistics, Biometry
Description: In this dissertation, we aim to improve efficiency of estimation in longitudinal data under generalized semi-parametric varying-coefficient models.First, we investigate a profile weighted least square approach for model estimation by utilizing wit...

Title: Independent Screening for Nonparametric Additive Cox Model
Author: Yu, Sha
Date Created: 2020
Subjects--Topical: Statistics
Description: Survival data with ultrahigh dimensional covariates are increasingly common recently due to the rapid development in technologies. It is challenging to model them using survival models in order to understand the association between covariate infor...

Title: LIMIT THEOREMS FOR ONE CLASS OF ERGODIC MARKOV CHAINS
Author: Turhan, Nezihe
Date Created: 2016
Subjects--Topical: Statistics, Mathematics
Description: The goal of this dissertation is to develop some classical limit theorems for the additive functionals of the homogeneous Markov chains in the special class of the so-called, Loop Markov Chains. The additive functionals of the Markov chains have t...

Title: LIMIT THEOREMS FOR REACTION DIFFUSION MODELS
Author: Feng, Yaqin
Date Created: 2011
Subjects--Topical: Mathematics
Description: We introduce two different reaction diffusion models: evolution of one-cell populations in the presence of mitosis and continuous contact model.In the first model we consider the time evolution of the supercritical reaction diffusion-equation on t...

Title: LOCAL SPATIAL QUANTILE ESTIMATION OF MULTIVARIATE FUNCTIONAL-COEFFICIENT REGRESSION MODELS
Author: Zhou, Yetong
Date Created: 2020
Subjects--Topical: Statistics
Description: Quantile regression (QR) has been widely studied in statistics and econometrics. However, there is no much work on nonlinear QR for vector time series. Therefore, we propose a local spatial QR method to estimate the functional-coefficient matrices...

Title: Mathematical Analysis of Markov Models for Social Processes
Author: Whitmeyer, Joseph
Date Created: 2010
Subjects--Topical: Mathematics
Description: We present Markov models for two social processes: the spread of rumors and the change in the spatial distribution of a population over time. For the spread of rumors, we present two models. The first is for the situation in which all particles ar...

Title: Meshless boundary particle methods for boundary integral equations and meshfree particle methods for plates
Author: Davis, Christopher
Date Created: 2011
Subjects--Topical: Mechanical engineering, Mathematics
Description: For approximating the solution of partial differential equations (PDE), meshless methods have been introduced to alleviate the difficulties arising in mesh generation using the conventional Finite Element Method (FEM). Many meshless methods introd...

Title: Modeling Vector Time Series Data
Author: Liu, Yi
Date Created: 2013
Subjects--Topical: Statistics
Description: ABSTRACTIn this dissertation, firstly, I study spatial quantile regression estimation of multivariate threshold time series models. Asymptotic normality of the proposed spatial quantile regression estimator is established. Simulations and a real e...

Title: NONPARAMETRIC PREDICTIVE REGRESSION
Author: Yu, Xintian
Date Created: 2016
Subjects--Topical: Statistics, Finance, Economics
Description: In ﬁnancial time series nonlinear eﬀects and time-varying eﬀects are observed. In this dissertation we propose a predictive regression model with time varying coeﬃcients and functional coeﬃcients. It allows for nonstationary predictors. We establi...

Title: Nonparametric Pricing Kernel Models
Author: Sun, Linman
Date Created: 2011
Subjects--Topical: Mathematics
Description: The capital asset pricing model (CAPM) and the arbitrage asset pricingtheory (APT) have been the cornerstone in theoretical and empirical finance for the recent few decades. The classical CAPM usually assumes a simple and stable linear relationshi...

Title: ON THE DISCRETE SPECTRUM OF EXTERIOR ELLIPTIC PROBLEMS.
Author: Puri, Rajan
Date Created: 2019
Subjects--Topical: Mathematics
Description: In this dissertation, we present three new results in the exterior elliptic problems with the variable coefficients that describe the process in inhomogeneous media in the presence of obstacles. These results concern perturbations of the operator ...

Title: OPTIMAL STRATEGIES IN "LOCKS, BOMBS AND TESTING" (LBT) PROBLEM FOR THE CASE OF INDEPENDENT PROTECTION
Author: Liu, Li
Date Created: 2019
Subjects--Topical: Mathematics, Statistics, Operations research
Description: This thesis constructs a Defense/Attack resource allocation model. Defender uses "locks" to protect their boxes from Attacker, and Attacker uses "bombs" to destroy as many boxes as possible. The first models of such type were given by E. Borel (19...

Title: On lambda-quantile dependent convex risk measures
Author: Xia, Lihong
Date Created: 2011
Subjects--Topical: Mathematics, Finance
Description: We define a class of convex measures of risk whose values depend on the random variables only up to the lambda-quantiles for some given constant lambda in (0,1). For this class of convex risk measures, the assumption of Fatou property can be stren...

Title: On the Structure and Invariants of Cubical Complexes
Author: Birdsong, Sarah
Date Created: 2013
Subjects--Topical: Mathematics
Description: This dissertation introduces two new results for cubical complexes. The first is a simple statistic on noncrossing partitions that expresses each coordinate of the toric h-vector of a cubical complex, written in the basis of the Adin h-vector entr...

Title: PARALLEL COMPUTING FOR MARKOV CHAINS WITH ISLANDS AND PORTS
Author: Basnet, Amod
Date Created: 2017
Subjects--Topical: Mathematics
Description: We present recursive algorithms to calculate invariant distributions and fundamental matrices of Markov chains specified by the "Islands & Ports'" (IP) model. The state space of the IP model can be partitioned into "islands'" and "ports". An islan...

Title: Partition of unity isogeometric analysis for singularly perturbed problems and fourth order differential equations containing singularities
Author: Kim, Sinae
Date Created: 2016
Subjects--Topical: Mathematics
Description: The design basis functions in IGA are refined and enhanced by extra enrichment functions and various local refinements with the use of partition of unity (PU) functions with flat-top. These reconditioned and modified basis functions are pushed for...