Mathematics and Statistics Research Papers/Topics

Unsteady Mhd Heat And Mass Transfer Over An Infinite Porous Flat Plate With Convective Surface Boundary Conditions

ABSTRACT Unsteady MHD heat and mass transfer over an infinite flat plate with convective surface boundary condition problems have received little attention yet they are of great importance in many scientific and engineering fields particularly in the manufacture and maintenance of ship propulsion unit and thermal energy storage processes in nuclear plants. Every research work that would give results aimed at improving the efficiency of the modern marine vessels is of significance to the field...

Norms Of Generalized Derivations On Norm Ideals

Abstract The norms of inner and generalized derivations on dierent kinds of al- gebras have been determined. However, the norms of their restrictions to norm ideals have not been fully explored. For instance, the concept of S􀀀universality having been introduced by Fialkow in 1979, has not been fully characterized yet it plays a critical role in the study of norms of derivations. In this study, we have investigated both the algebraic and the norm properties of a generalized derivation. Spec...

Automorphisms Of The Unit Groups Of Square Radical Zero, Cube Radical Zero And Power Four Radical Zero Finite Commutative Completely Primary Rings

ABSTRACT The study of automorphisms of algebraic structures has contributed immensely to many important findings in mathematics. For example, Galois characterized the general degree five single variable polynomials f over Q, by showing that the roots of such polynomials cannot be expressed in terms of radicals, through the automorphism groups of the splitting field of f. On the other hand, the symmetries of any algebraic structure are captured by their automorphism groups. The study of comple...

On Completely Positive Maps

ABSTRACT Completely positive maps is an important eld due to its signicance, application and mathematics itself. While discussing the properties of the positive maps, researchers have questioned whether the properties of the positive maps also hold for completely positive maps. In chapter 1, we have started with a C-algebra A, generated on A other C-algebras and then investigated these forms of C-algebras. We investigated whether the properties of A such as self-adjointedness and completeness...

Prediction Of Inflation Rates In Kenya Using Binomial Logistic Regression

ABSTRACT Inflation is increasingly becoming an important parameter that determines financial performance of central banks worldwide. Although many empirical studies have used time series and vector auto regression models to analyze inflation, very few studies have relied on the predictive ability of the logistic model which has a more intuitive interpretation for key issues such as drivers of inflation. The primary concern for every country is growing expectations about inflation which has re...

Stochastic Analysis Of Single Queue Single Server Versus Single Queue Multiple Servers Models: A Case Study Of Post Bank And Kenya Commercial Bank

ABSTRACT Banks play signicant roles in a country's economy. For this reason many studies have been done on the management and general organization of banks. One such area is on queue management. It is common practice to see long queues of customers waiting to be served within the banking halls. Customers arrive at banking facilities randomly. Moreover, service time is also a random phenomenon. Currently, many institutions are moving away from single queue single server model to single queue-m...

Constraints Faced By Small And Medium Entreprises In Accessing Bank Finance In Eldoret Town Kenya

ABSTRACT Small and Medium Enterprises (SMEs) play an important role in the economies of developed and developing countries, through creation of new jobs. Access to bank financial resources seems to be a major constraint to the growth of SMEs in the developing context. This study thus, aimed at finding out the constraints faced by SMEs in particular accessing bank financing. The study adopted the adverse selection theory of credit markets. This study adopted an explanatory and descriptive surv...

Flexible Parametric Prognostic Risk Score Models For Short-Term Risk Of Aids On Patients Newly Initiated On Highly Active Antiretroviral Therapy (Haart) In Nyanza, Kenya

Abstract About 22.9 million people living with HIV/AIDS reside in sub-Saharan Africa, many of whom have progressed to AIDS over time. Kenya has high numbers of new infections; a total of 104,000 in the general population with paediatrics at 13,000 and adults at 91,000. Risk scores constructed using prognostic factors may be valuable in the early identication and intervention to patients at risk of progression to AIDS. There was therefore a necessity to come up with robust risk models that use...

A multi-level statistical modelling approach to multidimensional poverty alleviation in Namibia

ABSTRACT This thesis examined household demographic factors and how they influence poverty levels in Namibia. While most previous studies have used income and expenditure to define household socio-economic status levels, this study used a three poverty dimension approach namely health, education and living standard. This is because poverty is multidimensional. The data used came from the Namibia Household Income and Expenditure Survey (NHIES) of 2009/10. Initially, the Alkire Foster method wa...

Hurdle Negative Binomial Model For Motor Vehicle Crash Injuries In Namibia

ABSTRACT Injuries caused by Motor Vehicle crashes were ranked 10th among the leading causes of death and 9th among the leading cause of disability worldwide (World Health Organization, 2013). In developing countries 90% of disabilities are caused by road traffic crashes. In Namibia, The Motor Vehicle Accident Fund spends approximately N$ 22,6 million monthly towards medical expenses of people injured in crashes (Tjihenuna, 2015), causing a concern, to the victims, their families and affects t...

Estimation Techniques In Generalized Linear Mixed Models With Application To Disease Impact Modelling

ABSTRACT This study applies the theory of Generalised linear Mixed Models (GLMMs) to survey data on disease impact in Ghana. It determines the variables that are responsible for making dependent members of households feel the impact of illness and/or death for three identified types of households. It assesses four models in terms of these variables generated using the Maximum Mean PseudoLikelihood (MMPL) and the Residual Mean Pseudo-Likelihood (RMPL) techniques in SAS. For all four models c...

SOME NEW ENCRYPTION TECHNIQUES USING FIREWALLS AND RANDOM NUMBER GENERA TORS

ln this work, the researchers consider the concept of Information Security by the application of firewall and encryption techniques. Also, the problem of explicitly exposing infonnation in transit is discussed. We developed several algorithms. Among the algorithms are those of random sequence and non-arithmetic sequence using modified generators for the problem to secure information that may pass through intermediate computers linked in the Internet. Some of these algorithms employ modif...

A STUDY OF ITERATIVE METHODS IN OPTIMIZATION

ABSTRACT Optimization techniques are called into play everyday in decision making processes involving resource allocation in almost every discipline. However, the development and implementation of algorithm for solving optimization problems are fraught with many difficulties and frustrations. The aim of this thesis has been to examine and identify some of the problems associated with the development and implementation of a class of optimization algorithms and to develop a means of improving ...


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