School of Mathematics, Statistics and Actuarial Sciences
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Refined enumeration of kplane trees and knoncrossing trees
(2022)A kplane tree is a plane tree whose vertices are assigned labels between 1 and k in such a way that the sum of the labels along any edge is no greater than k+1. These trees are known to be related to (k+1)ary trees, and ... 
Application of binary logistic regression model: determinants of contraceptive utilization.
(IJRAR, 2020)Contraceptives uptake among the youth has been a sensitive and controversial issue in the society that has resulted to various social problems that include unwanted pregnancies and sexual transmitted infections among ... 
Influence of Entrepreneur and Firm Characteristics in Accessing Bank finance
(Stratford peer reviewed journal and book publishing, 2021)SMEs are mostly guided by the owners’ characteristics which is an indicator of the level of decisions taken in the firm. Access to credit is a prerequisite for a high performance of an SME. The paper aimed at establishing ... 
Modernizing pension fund contribution
(American Journal of Statistics and Actuarial Sciences(AJP), 2021)The purpose of this research is to develop a pension model which uses mobile phone technology to facilitate contribution towards the user’s pension scheme. 
Three Dimensional Mathematical Models for ConvectiveDispersive Flow of Pesticides in Porous Media
(IJESC, 2018)The transport of solutes through porous media where chemicals undergo adsorption or change process on the surface of the porous materials has been a subject of research over years. Usage of pesticides has resulted in ... 
Approximations of Ruin Probabilities Under Financial Constraints
(HIKARI Ltd, 2021)In this paper, we investigate the approximate ruin probabilities un der financial constraints (interest rate, inflation, and taxation). We formulate a risk process whose premium inflow is influenced by the economic effects ... 
Norm Properties of S Universal Operators
(Communications in Advanced Mathematical Sciences, 2020)We investigate the norm properties of a generalized derivation on a norm ideal J in B(H), the algebra of bounded linear operators on a Hilbert space H. Specifically, we extend the concept of S−universality from the inner ... 
Spectra of Composition Groups on the Weighted Dirichlet Space of the Upper HalfPlane
(Springer, 2020)We prove that the group of weighted composition operators induced by contin uous automorphism groups of the upper half plane U is strongly continuous on the weighted Dirichlet space of U, Dα(U). Further, we investigate ... 
On the Norm of a Generalized Derivation
(HIKARI Ltd, 2019)Let H be an infinite dimensional complex Hilbert space and B(H) the algebra of all bounded linear operators on H. For two bounded operators A, B ∈ B(H), the map δAB : B(H) → B(H) is a generalized inner derivation operator ... 
Farmer versus Researcher data collection methodologies: Understanding variations and associated tradeoffs
(2019)The number of nonexperts (such as farmers) participating in research activities has increased over the years, with the aim of them addressing their heterogeneous conditions. The situation has resulted in them being ... 
Comparative Analysis of Spectral Theory of Second Order Difference and Differential Operators with Unbounded Odd Coefficient
(KYUNGPOOK, 2020)We show that selfadjoint operator extensions of minimal second order differ ence operators have only discrete spectrum when the odd order coefficient is unbounded but grows or decays according to specific conditions. ... 
NOTIONS OF CONTINUITY FOR FINITE RANK MAPS IN THE SPACE OF NORMAL OPERATORS
(2020)We show that a natural extension of a continuous finite rank operator to an arbitrary Hilbert space is continuous. We also give sufficient conditions to calculate delta epsilon numbers in all the domains of T. In addition, we ... 
Fitting Wind Speed to a Two Parameter Distribution Model Using Maximum Likelihood Estimation Method
(Science Publishing Group, 2020)Kenya is among the countries that are continuously investing in wind energy to meet her electricity demand. Kenya is working towards its vision 2030 of achieving a total of 2GW of energy from wind industry. To achieve ... 
On some properties of generalized Fibonacci polynomials
(Open Journal of Discrete Applied Mathematics, 2020)Fibonacci polynomials have been generalized mainly by two ways: by maintaining the recurrence relation and varying the initial conditions and by varying the recurrence relation and maintaining the initial conditions. In ... 
Models for Level Premiums Payable to Benevolent Funds
(Applied Mathematical Sciences, 2020)The application of multiple life actuarial calculations have been stud ied by many authours for instance Elizondo [3] studied the construction of multiple decrement models from associated single decrement expe riences.He ... 
On Generalized Fibonacci Numbers
(Communications in Advanced Mathematical Sciences, 2020)Fibonacci numbers and their polynomials have been generalized mainly by two ways: by maintaining the recurrence relation and varying the initial conditions, and by varying the recurrence relation and maintaining the initial ... 
Refined enumeration of 2noncrossing trees
(Academic Publishing House, 2021)A 2noncrossing tree is a connected graph without cycles that can be drawn in the plane with its vertices on the boundary of circle such that the edges are straight line segments that do not cross and all the vertices ... 
On Noncrossing and Plane TreeLike Structures
(Communications in Advanced Mathematical Sciences, 2021)Mathematical trees are connected graphs without cycles, loops and multiple edges. Various trees such as Cayley trees, plane trees, binary trees, dary trees, noncrossing trees among others have been studied extensively. ... 
Reachability results in labelled tary trees
(Open Journal of Mathematical Sciences, 2021)In this paper, we prove some new formulas in the enumeration of labelled tary trees by path lengths. We treat trees having their edges oriented from a vertex of lower label towards a vertex of higher label. Among other ... 
Effects of inclination angle and free convection on velocity profile for a steady 2dimensional magnetohydrodynamic fluid flow in an inclined cylindrical pipe
(European Journal of Engineering and Technology Research, 2021)Effects of inclination and free convection on velocity profile for magnetohydrodynamic (MHD) fluid flow in an inclined cylindrical pipe has been investigated. The governing partial differential equations are the equations ...