School of Mathematics, Statistics and Actuarial Sciences
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Counting formulas and bijections of nondecreasing 2-noncrossing trees
(Electronic Journal of Mathematics, 2024-07-02)In this paper, we introduce nondecreasing 2-noncrossing trees and enumerate them according to their number of vertices, root degree, and number of forests. We also introduce nondecreasing 2-noncrossing increasing trees ... -
Enumeration of k-plane trees and forests
(Ghaem Technology Institute of Higher Education, 2024-08-18)A k-plane tree is an ordered tree in which the vertices are labelled by integers {1, 2, . . . , k} and satisfies the condition i + j ⩽ k + 1 where i and j are adjacent vertices in the tree. These trees are known to be ... -
Reinforcing the 21st century pedagogical skills through the application of the question formulation technique (QFT) in secondary schools in south eastern region of Kenya
(International Journal of Research and Innovation in Social Science (IJRISS), 2024-04-05)Studies show that only 27% of graduates believe that Universities and colleges taught them how to ask their own questions. The Question Formulation Technique (QFT) imparts students a way that makes them to think critically ... -
On non-decreasing 2-plane trees
(Ghaem Technology Institute of Higher Education, 2024-08-08)In this paper, we have introduced the set of non-decreasing 2-plane trees. These are plane trees whose vertices receive labels from the set {1, 2} such that the sum of labels of adjacent vertices is at most 3 and that the ... -
Bijections for classes of labelled trees.
(University of Isfahan, 2024-09-01)Trees are acyclic connected graphs. Plane trees, d-ary trees, binary trees, noncrossing trees and their generalizations, which are families of trees, have been enumerated by many authors using various statistics. These ... -
On (P, Q)-Binomial Extension of Cox-Ross-Rubinstein Model in Skorohod Spaces.
(International Journal of Open Problems in Computer Science & Mathematics, 2023-12-01)In this paper, we develope a (pq)-binomial extension of the Cox-Ross-Rubinstein (CRR) model thereby enhancing its ap plicability in optimizing life insurance portfolios amidst noisy observations. We utilize mathematical ... -
Portfolio optimization for extended (p, q) –binomial cox –ross- rubinstein model
(SSAR Publishers, 2024-03-11)In this paper, we focus on establishing optimization conditions for the extended binomial Cox-Ross-Rubinstein (CRR)model, particularly in the context of managing portfolios in life insurance under varying noise conditions. ... -
Exploring the Need for a Statistical Collaboration Laboratory in a Kenyan University: Experiences, Challenges, and Opportunities
(Chapman and Hall/CRC, 2022-06-07)This paper explores the need for a statistical collaboration laboratory or “stat lab”(Vance and Pruitt 2022) at Maseno University in Kenya. It describes the experiences, challenges, and opportunities for statistics lecturers ... -
Bijections of plane Husimi graphs and certain combinatorial structures
(EU Academic Publishers, 2023-10-19)Plane Husimi graphs are combinatorial structures obtained when we replace edges in plane trees with complete graphs such that the resultant structures are connected and cycle free. The formula that counts these structures ... -
Bijections for classes of labelled trees
(University of Isfahan, 2024-01-09)Trees are acyclic connected graphs. Plane trees, d-ary trees, binary trees, non crossing trees and their generalizations, which are families of trees, have been enumerated by many authors using various statistics. These ... -
Enumeration of plane and d-ary tree-like structures
(Annals of Mathematics and Computer Science, 2023-08-26)Trees are generalized using various approaches such as considering tree-like structures. Some of the tree-like structures are Husimi graphs, cacti and oriented cacti. These graphs have been enumerated according to number ... -
Reachability in complete t-ary trees
(Annals of Mathematics and Computer Science, 2023-10-01)Mathematical trees such as Cayley trees, plane trees, binary trees, noncrossing trees, t-ary trees among others have been studied extensively. Reachability of vertices as a statistic has been studied in Cayley trees, plane ... -
On the Numerical Solution of Boundary Value Problem (BVP) of the Ordinary Differential Equation (ODE) - The Case of Steady-State Bio-Heat Equation with Combined Heat Transfer Coefficient by Pseudo-Spectral Collocation Method
(European Journal of Engineering and Technology Research, 2023-09-15)Spectral methods for the solution of a boundary value problem of an ordinary differential equation are reviewed with particular emphasis laid on pseudo-spectral collocation method. The pseudo-collocation method is then ... -
Recursive Relation for Zero Inflated Poisson Mixture Distributions
(HIKARI Ltd, 2017)The paper extends the work of Sarguta who derived recursive re lations for univariate distributions by considering the ZIP continuous mixtures. The paper gives a recursive formular which can be used to evaluate the mixed ... -
Application of Continous Time Model in Prediction of Loss Reserves in Credit Insurance for Asset-Based Lending Companies
(Scientific Research Publishing, 2022)Asset-based lending companies and other loan providers are exposed to risk of loan defaults by borrowers. To reduce this risk, these companies acquire credit insurance. Thus when the borrower defaults in payment, the ... -
Empowered schools embrace the competency based curriculum: sharing the Kenya connect empowered school model in Machakos county
(Journal of Education and Practices, 2021)Rural public schools face many challenges and are severely under-resourced. Students are eager to learn and parents see schools as a means for upward mobility for their children. However, public schools struggle due to ... -
Analysis of the factors affecting farm-level output of mangoes among small-scale farmers in Mwala Sub-County, Kenya
(International Journal of Agricultural Technology, 2022)The factors affecting farm-level output of mangoes among small-scale farmers in Mwala Sub-County, Kenya were examined. The first stage of regression analysis resulted that family and hired labour, amount of pesticides ... -
Bijections of k-plane trees
(Open journal of discrete Applied Mathematics, 2022)A k-plane tree is a tree drawn in the plane such that the vertices are labeled by integers in the set {1, 2, . . . , k}, the children of all vertices are ordered, and if (i, j) is an edge in the tree, where i and j are ... -
Markovian Approach for Analyzing Patient Flow Data: A Study of Kapsabet County Referral Hospital, Kenya
(science publishing group, 2022)Hospital is indispensable and necessary welfare of society. Through it, we can manage our illnesses by treatment and prevention interventions. With the rise incidences of chronic diseases and illnesses, there has been an ... -
Refined enumeration of k-plane trees and k-noncrossing trees
(2022)A k-plane 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 ...
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