Mathematics and Statistics
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Modeling and Forecasting Kenyan GDP Using Autoregressive Integrated Moving Average (ARIMA) Models
(Science Publishing Group, 2016-04-13)The Gross Domestic Product (GDP) is the market value of all goods and services produced within the borders of a nation in a year. In this paper, Kenya’s annual GDP data obtained from the Kenya National Bureau of statistics ... -
A NOTE ON QUASI-SIMILARITY OF OPERATORS IN HILBERT SPACES
(International Journal of Mathematical Archive, 2015-07-23)In this paper we introduce the notion of Quasi-similarity of bounded linear operators in Hilbert Spaces. We do so by defining a quasi- affinity from one Hilbert Space H to K. Some results on quasi- affinities are also ... -
The Banach Numerical Range for Finite Linear Operators
(Modern Scientific Press Company, 2020-02-14)The numerical range has been a subject of interest to many researchers and scholars in the recent past. Based on the research outputs, many results have been obtained. Besides, several generalizations of the classical ... -
PLS Generalized Linear Regression and Kernel Multilogit Algorithm (KMA) for Microarray Data Classification Problem
(Revista Colombiana de Estadística - Applied Statistics, 2020)This study involves the implentation of the extensions of the partial least squares generalized linear regression (PLSGLR) by combining it with logistic regression and linear discriminant analysis, to get a partial least ... -
A likelihood ratio test for correlated paired multivariate samples
(Chilean Statistical Society, 2020-04)Many laboratory experiments in the fields of biological sciences usually involve two main groups say the healthy and infected subjects. In one of these kind of experiments, each specimen from each group can be divided ... -
Application of Response Surface Methodology in Optimization of the Yields of Common Bean (Phaseolus vulgaris L.) Using Animal Manures
(Science and Education Publishing, 2020-07)The objective of design and analysis of experiments is to optimize a response variable which is influenced by several independent variables. In agriculture, many statistical studies have focused on investigating the effect ... -
Features Selection in Statistical Classification of High Dimensional Image Derived Maize (Zea Mays L.) Phenomic Data
(Science and Education Publishing, 2022)Phenotyping has advanced with the application of high throughput phenotyping techniques such automated imaging. This has led to derivation of large quantities of high dimensional phenotypic data that could not have been ... -
Transitivity Action of the Cartesian Product of the Alternating Group Acting on a Cartesian Product of Ordered Sets of Triples
(Asian Research Journal of Mathematics, 2021-12)In this paper, we investigate some transitivity action properties of the cartesian product of the alternating group 𝐴𝑛 (𝑛 ≥ 5) acting on a cartesian product of ordered sets of triples using the Orbit-Stabilizer ... -
Spectral Picture Of Almost Similar Operators
(Journal of Multidisciplinary Engineering Science and Technology (JMEST), 2022)Various results that relate to almost similarity and other classes of operators such as isometry, normal, unitary and compact operators have been extensively discussed. In this paper, we describe the spectral picture ... -
Norm- Attainability of Generalized Finite Operators on C*- Algebra
(Modern Scientific Press Company, 2022)Norm -attainability of elementary operators on Hilbert and Banach spaces have been Characterized by many mathematicians. However, there is little information on Normattainability of generalized finite operators on C*-algebra. ... -
Features Selection in Statistical Classification of High Dimensional Image Derived Maize (Zea Mays L.) Phenomic Data
(Science and Education Publishing, 2022)Phenotyping has advanced with the application of high throughput phenotyping techniques such automated imaging. This has led to derivation of large quantities of high dimensional phenotypic data that could not have been ... -
Forecasting Commodity Price Index of Food and Beverages in Kenya Using Seasonal Autoregressive Integrated Moving Average (SARIMA) Models
(EJ-MATH, European Journal of Mathematics and Statistics, 2021)Price stability is the primary monetary policy objective in any economy since it protects the interests of both consumers and producers. As a result, forecasting is a common practice and a vital aspect of monetary ... -
Application of Principal Component Analysis and Hierarchical Regression Model on Kenya Macroeconomic Indicators
(EJ-MATH, European Journal of Mathematics and Statistics, 2022)The aim of this paper was to apply Principal Component Analysis (PCA) and hierarchical regression model on Kenyan Macroeconomic variables. The study adopted a mixed research design (descriptive and correlational research ... -
Singular Spectrum Analysis: An Application to Kenya’s Industrial Inputs Price Index
(EJ-MATH, European Journal of Mathematics and Statistics, 2021)Abstract —Time series modeling and forecasting techniques serve as gauging tools to understand the time-related properties of a given time series and its future course. Most financial and economic time series ... -
Singular Spectrum Analysis: An Application to Kenya’s Industrial Inputs Price Index
(Springer, 2022-01)Time series modelling and forecasting techniques serve as gauging tools to understand the time-related properties of a given time series and its future course. Most financial and economic time series data do not meet the ... -
Forecasting Commodity Price Index of Food and Beverages in Kenya Using Seasonal Autoregressive Integrated Moving Average (SARIMA) Models
(Springer, 2021-12)Price stability is the primary monetary policy objective in any economy since it protects the interests of both consumers and producers. As a result, forecasting is a common practice and a vital aspect of monetary policymaking. ... -
PLS Generalized Linear Regression and Kernel Multilogit Algorithm (KMA) for Microarray Data Classification Problem
(2020)This study involves the implentation of the extensions of the partial least squares generalized linear regression (PLSGLR) by combining it with logistic regression and linear discriminant analysis, to get a partial least ... -
On Similarity and Quasisimilarity equivalence relations
(2012-01)Similarity and unitary equivalence can be shown to be of equivalence relations. We discuss a result showing that two similar operators have equal spectra (i.e. point and approximate point spectrum). More ... -
On The Convexity of A Generalized q-Numerical Range’’
(2005-01)For a given $q in kom$ with $|q| le 1$, we study the $C$-numerical range of a Hilbert space operator where $C$ is an operator of the form [ left( begin{array}{ccc} qI_n & sqrt{1-|q|^2}I_n \ 0_n & 0_n end{array} right) oplus ... -
Equivalent Banach operator ideal norms’’
(2012-01)Let X, Y be Banach spaces and consider the w'-topology (the dual weak operator topology) on the space (L(X, Y) of bounded linear operators from X into X with the uniform operator norm. L w' (X, Y) is the space of all T ∈ ...
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