Browsing MSTDepartment of Mathematics by Issue Date
Now showing items 120 of 64

A study on numerical range of operators in a hilbert space
(Kenyatta University, 1987) 
Finding the Distribution of a Random Variable from its Moment Function
(2000)Consider the problem of r .~/ randomly distributed points in a unit nball and the convex hull created by these points. Let ~II be r! times the rcontent of an rsimplex whose P vertices are in the interior and r I / p ... 
A modelbased approach to estimation of finite population total using local linear polynomial regression estimator
(20120201)Estimation of finite population totals in the presence of auxiliary information is considered. A class of estimators based on local polynomial regression is proposed. Like generalized regression estimators, these estimators ... 
Laminar natural convection in a rectangular cavity
(20120201)This project is basically a numerical study of the structure of the flow and heat transfer rates due to collision of opposed laminar natural convection boundary layer in an enclosure. Natural convection plays an important ... 
An interaction model between Cotesia flavipes and Cotesia sesamiae, parasitoids of the gramineous stemborers at the Kenya Coast
(20120201)One of the greatest challenges facing the people of subSaharan Africa is the production of sufficient food to feed a rapidly increasing population in the face of dwindling finances. As the population grows at 3% and food ... 
Analysis of flow in regular bend pipe
(20120201)A fluid is a substance that deforms continuously on application of slight shear stress. The study of fluid mechanics deals with motion of fluids and conditions that support or after motion. Fluid mechanics can be divided ... 
Comparison of the performance of estimators in estimation of finite population total
(20120201)In this project we compare the performance of two different estimators of the population total. One estimator is modelbased and the other one is model assisted. We look at modelbased properties of the two estimators. ... 
The effects of streaming on mathematics achievement among secondary school pupils in Kisumu, Kenya
(20120202)This study investigated the effects of streaming on Mathematics achievement. The study examined whether the Learning setting played a significant role in determining pupil achievement and whether the effect of the Learning ... 
Solving equilibrium equations for stress and deflection functions in a thin elastic shallow shell
(20120202)A problem connected with the study of thin elastic shallow shells in the theory of nonlinear elasticity is considered. The equilibrium equations are in the form V4 B1 (x, y) + Eh n4 B2 (x,y)=0 DV 4 B2 (x,y)  n 4 B1 ... 
The extent to which Kenya certificate of primary education (KCPE) mathematics results predict performance in mathematics at Kenya certificate of secondary education(KCSE): a case study of national schools
(20120202)The study set out to investigate the extent to which Kenya Certificate of Primary Education (KCPE) mathematics examination results predict performance in mathematics at the Kenya Certificate of Secondary Education (KCSE). ... 
State space models and estimation of missing observations in time series
(20120224)In this project we have considered a nonlinear time series model, which encompasses several standard nonlinear models for time series as special cases. It also offers two methods for estimating missing observations, one ... 
Finding the distribution of a random variable from its moment function
(20120224)Consider the problem of r + l randomly distributed points in a unit nball and the convex hull created by these points. Let “ n" be r! Times the rcontent of an rsimplex whose p vertices are in the interior and r + 1p ... 
Weibull model for dose response data and akaike information criterion for model selection
(20120228)Statistical linear models are used to study dose response models in the bioassay. These have given rise to many statistical problems since the dose response data do not follow linear model. This has led to the use of ... 
Some contributions on the use of auxiliary information in sample surveys.
(20120228)In this project, we assume that we have a population from which a sample is taken and that not all sample units are observed... It is also assumed that auxiliary information is available for all units in the population. ... 
Turbulent natural convection in a rectangular enclosure
(20120403)Equations governing natural convection have been solved using a fast and stable finite difference approximation, which has been developed and validated. The technique relies on using different false transient factors in ... 
Incorporation of convariates in the dose response model
(20120411)In the study of dose response curves, there are two main assumptions that are normally made. First, we assume that the dose response data can be modeled using linear models (linear probability models), and secondly we ... 
Analysis of seasonal time series with missing observations
(20120411)In the past, Kenya's Tourist data has been analysed by among others, Mutiso (1982) who carried out Spectral Analysis to the monthly data for a series covering 10 years (19711980). Mutiso came up with general conclusion ... 
Nonparametric regression to finite population estimation.
(20120418)Nonparametric regression is used here to estimate the finite population mean. The variance of the derived estimate is obtained and procedures for its estimation suggested. The appropriateness of the variance estimators is ... 
Residuals influence and weighting in estimation of regression parameters
(20120420)We consider analysis and fitting models of the regression data in the fields, which exhibit nonconstant variances, which are referred to as regression models. We focus on various approaches and procedures used in estimating ...