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Identifying Heterogeneous Disorders Through Normative Modeling of the Resting State BOLD Signal
(2020-05-21)
One of the recent developments of interest in neuroscience is the detailed study intoresting state data. This data allows us to examine the way our brains behave in an awakestate with no tasks presented. ...
On the Classification of Intermediate Range Missiles During Launch
(2020-05-13)
This thesis explores the comparisons and contrasts of different statistical method approaches to a missile system classification which is sufficiently rapid to be suitable for use during engagement. It is meant to extend ...
Improving Parameter Estimation for Integral Projection Models in Fluctuating Environments
(2020-07-21)
The matrix projection model (MPM) is one of the mainstream approaches for population
and environmental dynamics in biological and ecological sciences. MPM is very popular in
modern biological sciences mainly due to its ...
Leverage Sampling for Single-Index Models
(2021-01-04)
In this thesis, a generalized leverage-based sub-sampling method for single-index models is proposed. The approach gives more efficient estimators than random sub-samples of the same size. Also, robust rank-based estimators ...
Dynamical Behavior of Nonautonomous and Stochastic HBV Infection Model
(2020-12-04)
Mathematical modeling of population and transmission dynamics of an infectious disease considered a critical theoretical epidemiology method provides a strong understanding of the virus dynamics. This dissertation studies ...
Robust Bayesian Methods for Semi-parametric Models
(2020-07-21)
Nonparametric rank-based approaches in many situations provide more flexible modeling speci cations and robustness when the distribution of data diff ers from the assumed distribution. This dissertation is mainly concerned ...
A Newton - Galerkin Finite Element Method to solve reduced dimensional Variable Density Flow and Solute Transport Equations using Proper Orthogonal Decomposition method
(2020-07-20)
The mathematical model of Variable Density Flow and Solute Transport (VDFST) is a
time dependent, coupled and nonlinear dynamical system that is widely used to simulate seawater
intrusion and related problems. The numerical ...
Numerical Simulations of Conservation Laws in Random Heterogeneous Media
(2020-07-17)
Conservation laws play an important role in many areas of natural science. When we design numerical schemes for conservation laws, we usually assume that initial data and flux function (the rate of change of quantity of ...
Numerical Modeling of Electromagnetic Wave Scattering by Layered Random Surfaces
(2020-12-01)
We present an efficient numerical method for modeling the scattering of electromagnetic fields by a multiply layered medium with random interfaces. We propose a combination of the Monte Carlo-Transformed Field Expansion ...
The Application of Complex Numbers and Quaternions in Navigation
(2020-11-30)
Complex numbers and quaternions have a wide array of applications. This paper beginsby briefly going over the history of complex numbers and quaternions, bringing up little knownfacts on main discoverers. Then, we ...