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A Support Vector Machine Based Cure Rate Model For Interval Censored Data
(2022-08-22)The mixture cure rate model is the most commonly used cure rate model in the literature. In the context of mixture cure rate model, the standard approach to model the effect of covariates on the cured or uncured probability ... -
A Novel Regularized Orthonormalized Partial Least Squares Model for Multi-view Learning
(2023-08-15)Over the past few years, the size of data dimensions or features has been increasing in various fields of science and engineering, owing to the rapid pace of data collection and the development of more advanced storage ... -
Large Eddy Simulation by using Wang’s Liutex-based subgrid model
(2023-08-09)Turbulent flows and vortex structures in fluid dynamics have been captivating researchers for decades, owing to their intrinsic complexity and significance in various industrial and natural processes. Despite their fundamental ... -
OPTIMAL CONTROL FRAMEWORKS FOR MODELING DYNAMICS AND ANDROGEN DEPRIVATION THERAPIES IN PROSTATE CANCER
(2023-08-10)**Please note that the full text is embargoed until 08/01/2024** In this work, we present an optimal control approach for the assessment of treatments in prostate cancer. For this purpose, we use two different approaches, ... -
Asymptotic Properties of the Deconvolution Kernel Density Estimate based on 2-Dependent Error Structure with Applications to Remaining Useful Life Problems in Reliability Theory
This thesis is motivated from an engineering question, which led us to the deconvolution problem with a dependent error structure. We establish a deconvolution kernel density estimator by adapting the methods of kernel ... -
A Necessary and Sufficient Condition for the Asymptotic Normality of the Quantile Estimator in the Deconvolution Problem
(2022-05-16)**Please note that the full text is embargoed until 5/10/2024** ABSTRACT: In this study, we examine the estimation of a quantile function when we have n observations coming from the convolution model contaminated by additive ... -
Performance of Density Estimators in Additive Measurement Error Models Based on Right Censored Data
(2022-05-09)**Please note that the full text is embargoed until 5/6/2024** ABSTRACT: In the deconvolution problem for right censored data, one is interested in estimating the density of a contaminated variable X when X satisfies Z= ... -
ACADEMIC INTEGRATION AND SELF-REGULATION STRATEGIES IN PRECALCULUS AND CALCULUS I
(2022-08-15)This case study examines the self-regulation strategies and academic integration of first-semester undergraduate students enrolled in precalculus and first-semester calculus at a large urban university in the southwestern ... -
ON DIFFERENT COMPUTATIONAL ASPECTS FOR BOX-COX TRANSFORMATION CURE RATE MODEL
(2021-08-16)Cure rate modeling is an emerging area of research not only in biomedical science but also in other disciplines such as sociology, criminal justice, economics and engineering reliability. In the first part of this thesis, ... -
MATHEMATICAL APPROACH OF LIUTEX CORE LINE AND LIUTEX CORE TUBE FOR VORTEX STRUCTURE VISUALIZATION
(2021-06-10)During the past decades, many vortex identification methods have been published to present a clear definition and identification of the vortex. However, all these methods are failed to offer a unique identification method, ... -
Likelihood Inference for Flexible Cure Models with Interval Censored Data
(2023-05-19)Models for survival data with a surviving fraction, known as cure rate models, play a vital role in survival analysis. Due to the improvement of intervening methodologies, some subjects are seen to be immune permanently. ... -
Mechanism of Hairpin Vortex Formation by Liutex
(2023-05-11)Turbulence is still a mystery for human after more than one century’s development of fluid dynamics. Hairpin vortex formation is regarded as an essential process for a laminar flow transition to the turbulent flow. A new ... -
A STUDY IN THE FREENESS OF FINITELY GENERATED Anp-MODULES UPON RESTRICTION TO PRINCIPAL SUBALGEBRAS
(2023-05-11)We are interested in quantitative information on the freeness of modules over a truncated polynomial ring when restricting to subalgebras generated by a linear form. After investigating the structure of the truncated ... -
Abrading the enigma of the wound healing process: Modeling the inflammation, proliferation, and maturation stage
(2022-08-17)Wound healing encompasses a group of processes categorized into overlapping stages known as the inflammation, proliferation, and maturation/remodeling stage. The dynamics of these processes are important in studying outcomes ... -
Decomposition of Modules and Tensor Products over Principal Subalgebras of Truncated Polynomial Rings
(2022-08-15)The topic of my dissertation is to investigate the behavior of modules and tensor products over a truncated polynomial ring with prime characteristic. This investigation utilizes principal subalgebras of the truncated ... -
ON SOME PROBLEMS IN SPARSE HYBRID IMAGING, NON-STANDARD FINITE DIFFERENCE METHODS, AND FOKKER-PLANCK FRAMEWORKS IN ESOPHAGEAL CANCER
(2022-08-16)In this thesis, we first discuss nonlinear optimization frameworks for the sparsity- based on nonlinear reconstruction of parameters in hybrid imaging modalities such as current density impedance imaging (CDII) and two-photon ... -
HIGHER-ORDER NONSTANDARD FINITE DIFFERENCE METHODS FOR AUTONOMOUS DIFFERENTIAL EQUATIONS WITH APPLICATIONS IN MATHEMATICAL ECOLOGY
(2022-08-08)Nonstandard finite difference (NSFD) methods have been widely used to numerically solve various problems in biology. In recent years, NSFD methods have been proposed that preserve essential properties of the solutions of ... -
ASYMPTOTIC NORMALITY OF THE DECONVOLUTION KERNEL DENSITY ESTIMATORS BASED ON INDEPENDENT AS WELL AS STRONG MIXING RIGHT CENSORED DATA
(2020-08-10)We consider estimation of a density when observed lifetime from the convolution model contaminated by additive measurement errors. A kernel type deconvolution density estimator of the unknown distribution based on right ... -
DECONVOLVING KERNEL REGRESSION FUNCTION ESTIMATION BASED ON RIGHT CENSORED DATA
(2021-08-16)In this study, we propose a new regression function estimator when the observa- tion is contaminated in the convolution model with error in independent variable. We want to examine the e ect of the error variables when ... -
ON A CUBIC NONLINEAR EQUATION MODEL ARISING IN SHALLOW WATER THEORY
(2021-08-06)The shallow water waves theory produces numerous integrable equations with cubic non- linearity as asymptotic models. We began our work by formally deriving a model equation for the free surface elevation η with higher-order ...