Mathematics and Statistics Research Papers/Topics

Statistical Analysis of Insurance Operation in Kwara State (A Case Study of Gateway Insurance Company Plc Ilorin From 2004 To 2009)

TABLE OF CONTENTS Title page                                                                                              i Approval sheet                                                                                       ii Dedication                                       �...

Statistical Analysis on Pupils Enrolment in the Universal Basic Education: A Case Study of Ilorin East Local Government Area, Oke-Oyi Kwara State

TABLE OF CONTENTS Title Page                                                                                             i Certification                                                                                          ii Dedication                                      ...

Comparative Analysis of Amount of Premuim Paid and Claims Settled on Fire, Life and Motor Policies: A Case of Kwara Insurance Broker Limited, Kwara State

Abstract This project is on comparative analysis of amount of premium paid and claims settled on fire, motor and life policies in Kwara Insurance Broker’s Limited, Ilorin from 1996-2005 was aimed to analysis the trend of insurance in Nigeria as regards to the three policies mentioned above regression analysis and correlation was use to analyse the data. Sequences to the analysis carried out, it revealed that the amount of claims settled does not depend on the amount of premium paid. The lif...

Asap: A Stochastic Adaptive PCA Method For Increasing Block Size Setting

Abstract We propose Asap, an adaptive stochastic optimization algorithm for principal component analysis (PCA), in the increasing block size setting. Asap is a novel generalized variant of the classical Oja’s algorithm (Oja, 1982), but can compute top-k principal components without the necessity of tuning the step size. Asap performs PCA by first-order gradient-based optimization based on adaptive estimates of lower-order moments as with Adagrad and Adam. We provide a theoretical guarantee ...

Finding The Distribution Of A Random Variable From Its Moment Function

ABSTRACT Consider the problem of r t / randomly distributed points in a unit n-ball and the convex hull created by these points. Let ~ 11 be r.t times the r-content of an rsimplex whose p vertices are in the interior and r + /- p vertices on the boundary of a unit n-ball. Explicit expressions for the exact distribution functions of ~,, are given when r 1 / points are independently, and identically distributed according to the Uniform distribution. The exact distributions are obtained using t...

New Models For Quark Stars With Charge And Anisotropy

Abstract We find new classes of exact solutions for the Einstein-Maxwell field equations. The solutions are obtained by considering charged anisotropic matter with a linear equation of state consistent with quark stars. The field equations are integrated by specifying forms for the measure of anisotropy and one of the gravitational potentials which are physically reasonable. A general feature of our models is that isotropic pressures are regained when certain parameters vanish; this behaviou...

Relating Mathematics To Machine Learning Through Algorithm Development For Big Data Analysis

ABSTRACT Data has increased at an exponential rate and has outpaced our capability to analyze it. However, new ways of data analysis, which thrive in big data such as Machine Learning (ML) have emerged. This study explores Machine Learning by creating a Machine Learning algorithm based on Support Vectors. This was done by converting mathematical formulations into a computer algorithm that was then used for data classification. The algorithm was evaluated and compared to other algorithms. The ...

Modelling Volatility Of Kes/Usd Exchange Rates Using Time Series Models (A Case Study Of The Kenyan Exchange Rates)

ABSTRACT Research work examines the accuracy and forecasting performance of volatility models for the KES/USD exchange rate return in Kenya using the EGARCH and TARCH. In fitting these models to the daily and monthly exchange rate returns data collected from CBK which extended from the period January 2008 to December 2015, In this study, performance of Time series models ( asymmetric EGARCH and TARCH models) in forecasting the volatility behavior of Kenya FOREX market was examined. Daily FORE...

Application Of Markov Chain Model In Transition Of Girls In Public Secondary Schools; A Case Study Of Kisumu West Sub-County, Kenya

ABSTRACT Transition is a very important factor in determining success of a student in secondary school. It forms a basis for implementing poverty reduction strategy by the government through acquisition of basic literal skills to increase opportunities for employment. Girls have not had an efficient transition from form one to the next form in secondary schools because of choices of secondary school types they enroll in. This research uses a Markov chain model to compare and predict the perce...

Application Of Markov Chain Model In Career Progression Of University Academic Staff:A Case Study Of The Moi University - Eldoret, Kenya.

ABSTRACT The use of Mathematical models for manpower planning has increased in recent times for better manpower planning quantitatively both in public and private sectors. In respect of organizational management, numerous previous studies have applied Markov chain models in describing title or level promotions, demotions, recruitment, withdrawals, or changes of different career development paths to confirm the actual manpower needs of an organization or predict the future manpower needs. The ...

A Delayed Vaccination Model For Rotavirus.

ABSTRACT Rotavirus is the most common cause of severe gastroenteritis infection in infants and young children, occurring even with very high standard of hygiene. The disease spreads by contact with infected faeces and might also be transmitted through faecally-contaminated: food, water and respiratory droplets. Rota teq and Rotarix are the two licensed oral vaccine intervention for rotavirus. However, it takes time for the development of vaccineinduced immunity to complete, hence the need to ...

Mathematical Modelling Of Hiv/Aids Co-Infection With Tuberculosis And Pneumonia Incorporating Protection

ABSTRACT The synergistic relationship between HIV/AIDS and respiratory infections, such as tu- berculosis(TB) and pneumonia not only results in high mortality rates but is also a source of economic burden borne by many nations in the sub-saharan Africa. The search for a cure or vaccine for HIV/AIDS has yielded no conclusive results so far. Treatment fail- ure and lack of adherence to treatment schedule which results in the evolution of drug resistant strains of diseases are challenges to grap...

Analysis Of Young People’s Career By Use Of Markov Chains: Case Study Of Kisumu City

ABSTRACT It is the desire of every person to have a career. Not much thought has been taken by young people on how they can arrive at their future careers. The reason is mainly because they are not aware. As much as many people have attained their careers through education, not much consideration has been given to the other factors within education that leads one to his or her career. The study traced one’s career from primary to present position. There are stages one follows to reach the c...

Optimal Investment Strategies Of A Defined Contribution Pension Fund

ABSTRACT The issue that a pension fund manager faces is how to optimize his or her investment strategies. The question we resolved is the optimal design of the minimum guarantee in a defined contribution pension Fund Scheme. We study the optimal asset allocation strategy a given fund manager can adopt to maximize surplus (the difference between the total wealth and the Guarantee) and the payback ratio (ratio between total wealth and Guarantee). Finally, We analyze the impact of the main param...

Constraints Faced By Small And Medium Entreprise 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...


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