RSS 1.0Department of Mathematics and Statistics (UMKC)
The Department of Mathematics and Statistics offers coursework leading to the bachelor of arts and bachelor of science degrees in mathematics. The graduate degrees available are the master of science degree, with concentrations in either mathematics or statistics, and the department participates in the UMKC School of Graduate Studies Interdisciplinary Ph.D. program.
These programs are designed to develop the student's own knowledge of mathematics or statistics, and to provide the tools and understanding necessary for the study of other scientific and quantitative fields.
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Sequential Sampling Designs for Estimating Software Reliability
(2020)For any non-trivial system, it is impossible to reach the exact reliability of software due to the complexity, cost, and time required to complete the testing. Instead, a sample of test cases can be used to estimate the ... -
Applications of multivariate analysis to understand the dynamics of African conflicts
(2020)Africa that is known for the birthplace of humanity has become a continent of all kind of devastating conflicts. This is a major concern because these conflicts are having lasting negative impact on the socioeconomic ... -
A Longitudinal study of modeling-based college algebra and its effect on student achievement
(2020)Low success rates and high withdrawal rates in gateway courses like College Algebra have deterred some students from attaining their educational goals. The university of study developed a Modeling-Based College Algebra ... -
Modeling HIV-1 Infection in the Brain: The Effect of the Blood-Brain Barrier
(2019)Despite the advancement of antiretroviral therapy (ART), the development of HIV associated neurocognitive disorders (HAND) remains a major concern among HIV infected patients. As many ART drugs may fail to penetrate the ... -
Efficient sequential designs with asymptotic second-order lower bound of Bayes risk for estimating product of means
(2019)In order to estimate the reliability of sequentially designed procedures under the Bayesian framework with conjugate priors, a sharp lower bound for the Bayes risk has been derived. Chapter 1 and 2 introduce the background ... -
Sequential test allocation for estimating software reliability with associated cost
We use a sequential method to allocate software test cases among partitions of a software to minimize the expected loss incurred by the Bayes estimator of the overall software reliability. The Bayesian approach allows us ... -
Modeling Pressurized Stairwells with Open Doors
(University of Missouri -- Kansas City, 2019)Stairwells are essential to occupant exiting from tall (high-rise) buildings. In order to maintain tenable environments in the stairwells, modeling building and fire codes allow the use of a stair pressurization system ... -
Three Essays on Public Money Creation, Endogenous Bank Credit Creation, and Remaining Empirical Issues: Interest Rates and Inflation
(University of Missouri -- Kansas City, 2018)This dissertation examines the interconnectedness between money/credit creation and its empirical relevance to macroeconomic variables. It takes the position that the amount of money/credit created for GDP-related ... -
Essays on Investment Stagnation and Financialization
(University of Missouri -- Kansas City, 2018)The three essays composing this manuscript examine the problem of capital accumulation from three distinct perspectives. the first essay offers a historical-dynamical view into the work of the pioneer of investment stagnation, ... -
Instruction Type and Student Major as they Relate to Student Success in College Level Developmental Mathematics Classes
(University of Missouri -- Kansas City, 2018)The low success rate of developmental (or remedial) mathematics courses is a hot topic at the higher education level. In this research, student success is considered in terms of final grade, D/F percentage, and withdrawal ... -
Design of Instrumentation and Methodologies for Determination of Free Neutron Characteristics
(University of Missouri -- Kansas City, 2017)Measuring neutron source‐dependent free neutron properties over a large neutron energy range, with human‐portable instrumentation, continues to push the frontier of neutron detection instrumentation design and analysis ... -
Modeling HIV-1 Infection and Immune Responses Under Drugs of Abuse
(University of Missouri -- Kansas City, 2018)The frequent use of drugs of abuse among HIV infected individuals is a major concern. Drugs of abuse, such as opiates, have been widely associated with enhanc ing HIV replication, accelerating disease progression, and ... -
Spatiotemporal Modeling and Analysis of Disease Spread in Wildlife
(University of Missouri--Kansas City, 2018)Wildlife and wildlife diseases have been frequent topics in mathematical epidemiology. However, due to the complexity of real-world systems and the varying degree of randomness in the behavior of any one individual organism, ... -
Modeling the Effects of Drugs of Abuse on HIV Infections with Two Viral Species
(University of Missouri--Kansas City, 2017)Injection drug use is one of the greatest risk factors associated with contracting human immunodeficiency virus (HIV), and drug abusers infected with HIV suffer from a higher viral load and rapid pathogenesis. Replication ... -
Mesh Adaptation in Fractured Reservoir Simulation
(University of Missouri--Kansas City, 2017)Natural fractures exist in many oil and gas reservoirs. On the other hand, hydraulic fracturing (fracking) is needed to create fractures in some reservoirs to improve the production rate. For example, shale gas reservoirs ... -
Musculoskeletal Modeling of The Human Elbow Joint
(University of Missouri--Kansas City, 2017)Comprehensive knowledge of the in vivo loading of elbow structures is essential in understanding the biomechanical causes associated with elbow diseases and injuries, and to find appropriate treatment. Currently, in ... -
Monetary Policies for Full Employment and Price Stability in Saudi Arabia: An Endogenous Money Approach
(University of Missouri--Kansas City, 2017)Despite being a relatively young and prosperous country, Saudi Arabia has recently suffered from substantial rises in unemployment. This dissertation thus examines the root causes for the rise in unemployment and limited ... -
Application of Ab Initio Calculations and Molecular Dynamics to Collagen and Brome Mosaic Virus
(University of Missouri--Kansas City, 2016)Molecular Dynamics (MD) simulations are no more accurate than the underlying force field which represents the molecular interactions. In this thesis, we have calculated ab initio atomic partial charges for proteins of ... -
First and Second Order Efficiency of Sequential Designs in a Nonlinear Situation with Applications
(University of Missouri--Kansas City, 2016)In many statistical problems, optimal designs may be infeasible with their dependence on the parameters, which are unknown a priori. In such circumstances, choosing the next design points adaptively by making good use of ... -
A Hybrid Modeling Approach to Assess the Efficacy of Control Measures on Paratuberculosis on U.S. Dairy Farms
(University of Missouri--Kansas City, 2016)Paratuberculosis, also known as Johne's disease or JD, is a chronic contagious infection, caused by Mycobaterium avium paratuberculosis (MAP). This fatal disease is incurable and causes considerable economic losses to ...