Volume 18, Issue 1 (2022) | Journal of Mathematics and Statistics

Modification of the Ornstein Uhlenbeck Process to Incorporate the Influence of Speculation on Volatility in Financial Markets

Hendrietha Joan Hendricks — 2022-01-18

Journal of Mathematics and Statistics, Published online: 18 January 2022; doi:10.3844/jmssp.2022.1.10

Financial market participants often speculate on how markets would behave in the light of certain information at hand. This speculation contributes to volatility within the financial market and conseq...

Sufficient Descent Condition of the Polak-Ribière-Polyak (PRP) Conjugate Gradient Method without Line Search

Abdelrahman A. — 2022-03-14

Journal of Mathematics and Statistics, Published online: 14 March 2022; doi:10.3844/jmssp.2022.11.15

Nonlinear conjugate gradient methods for unconstrained optimization problems are used in many aspects of theoretical and applied sciences. They are iterative methods, so at any iteration a step length...

Elements of Formal Probabilistic Mechanics

Farida Kachapova — 2022-03-18

Journal of Mathematics and Statistics, Published online: 18 March 2022; doi:10.3844/jmssp.2022.16.26

In this study model of particle motion on a three-dimensional lattice is created using discrete random walk with small steps. A probability space of the particle trajectories is rigorously constructed...

Predicting the Movement of Dentistry Students using Markov Chain

Esmail Hassan Abdullatif Al-Sabri — 2022-03-19

Journal of Mathematics and Statistics, Published online: 19 March 2022; doi:10.3844/jmssp.2022.27.35

Developing and increasing the effectiveness of any system (university system) depends on continuous evaluation and improvement using quantitative methods based on quantitative measurement and efficien...

Mathematical Analysis of M/M/C Vacation Queueing Model with a Waiting Server and Impatient Customers

Ganesh Sapkota — 2022-04-19

Journal of Mathematics and Statistics, Published online: 19 April 2022; doi:10.3844/jmssp.2022.36.48

In this study, the transient analysis of the M/M/C queueing system has been made under the provision of servers' single vacation and loss of impatient customers. Customers arrive in the system in the ...

A Mathematical Model and Analysis for the COVID-19 Infection

Jonathan Tsetimi — 2022-06-06

Journal of Mathematics and Statistics, Published online: 6 June 2022; doi:10.3844/jmssp.2022.49.64

The dreaded COVID-19 is a communicable respiratory disease caused by a new strain of coronavirus that causes illness in humans. A study of the transmission dynamics of the disease is essential in the ...

Hopf Algebraic Structure of the (p,q)-Square Heizenberg White Noise Algebra

Anis Riahi — 2022-06-15

Journal of Mathematics and Statistics, Published online: 15 June 2022; doi:10.3844/jmssp.2022.65.70

This study is devoted to solving the Hopf algebraic structure problem associated with the Fock realization of the (p, q)-square Heizenberg white noise algebra based on the two-parameter deformations o...

Chlodowsky Type (λ, q)-Bernstein Stancu Operator of Korovkin-Type Approximation Theorem of Rough I-Core of Triple Sequences

Ayhan Esi — 2022-07-05

Journal of Mathematics and Statistics, Published online: 5 July 2022; doi:10.3844/jmssp.2022.71.77

Measurable Functional Calculi and Spectral Theory

Mykola Yaremenko — 2022-07-06

Journal of Mathematics and Statistics, Published online: 6 July 2022; doi:10.3844/jmssp.2022.78.86

In this article, the spectral theory is considered, we study the spectral families and their correspondence to the operators on the reflexive Banach spaces; assume A is a well-bounded operator on refl...

An Empirical Study of Robust Modified Recursive Fits of Moving Average Models

Mohamed Ali Ismail — 2022-07-28

Journal of Mathematics and Statistics, Published online: 28 July 2022; doi:10.3844/jmssp.2022.87.100

The time-series Moving Average (MA) model is a nonlinear model; see, for example. For traditional Least Squares (LS) fits, there are several algorithms to use for computing its fit. Since the model is...

The Effect of Grouping in Mathematics in Teachers’ Views for the First Circle in Primary Schools-Sulaymaniyah, Iraq

Shwan Hassan Hussein Alshatri — 2022-09-09

Journal of Mathematics and Statistics, Published online: 9 September 2022; doi:10.3844/jmssp.2022.101.105

Mathematics is one of the important subjects inschool that can be used to measure a student's ability to learn and understandscientific equations. This study is done to determine the best method to te...

Predictive Analysis of BMI and Liver Size on Kidney Function in Young Mexican American Population

Orlando Patricio — 2022-09-09

Journal of Mathematics and Statistics, Published online: 9 September 2022; doi:10.3844/jmssp.2022.106.114

This study aimed todetermine the probability of fatty liver, hepatomegaly, and liver size ≥2SDwith age in each category of BMI percentile. It also aimed to investigate therelationship between GFR, B...

Modified Human Development Index using Data Envelopment Analysis Approach

Yasmine Refai Salama — 2022-09-26

Journal of Mathematics and Statistics, Published online: 26 September 2022; doi:10.3844/jmssp.2022.115.133

Composite Indicator is considered themathematical aggregation which has wide usage for monitoring performances,conducting benchmarks, analyzing policies, and communicating publicly. HumanDevelopment I...

Proof of Frankl's Conjecture: A Non-Constructive Approach

Yonghong Liu — 2022-09-21

Journal of Mathematics and Statistics, Published online: 21 September 2022; doi:10.3844/jmssp.2022.134.137

Let U be a finite set and X a family of nonempty subsets of U,which is closed under unions. We establish a connection between Frankl'sconjecture and equipollence sets, in which a complementary set i...

Measure of Departure from Conditional Partial Symmetry for Square Contingency Tables

Yusuke Saigusa — 2022-10-04

Journal of Mathematics and Statistics, Published online: 4 October 2022; doi:10.3844/jmssp.2022.138.142

For square contingency tables, asymmetry of conditional probability in part of the off-diagonal cells isconsidered with respect to the main diagonal. A measure is proposed torepresent the degree of de...

Mathematical Approach to the Ruin Problem with Compounding Assets

Mercy Amaebi Orukari — 2022-10-08

Journal of Mathematics and Statistics, Published online: 8 October 2022; doi:10.3844/jmssp.2022.143.147

This study considered the Ruin problem with an income process with stationary independent increments. The characterization is obtained which is general for the probability of $r(y)$, that the asset of...

Formalizing Relations in Type Theory

Farida Kachapova — 2022-10-29

Journal of Mathematics and Statistics, Published online: 29 October 2022; doi:10.3844/jmssp.2022.148.162

Typetheory plays an important role in the foundations of mathematics as a frameworkfor formalizing mathematics and a base for proof assistants providingsemi-automatic proof checking and construction. ...

Bayesian Analysis of Longitudinal Ordinal Data Using Non-Identifiable Multivariate Probit Models

Xiao Zhang — 2022-11-14

Journal of Mathematics and Statistics, Published online: 14 November 2022; doi:10.3844/jmssp.2022.163.175

Multivariate probit models have been explored foranalyzing longitudinal ordinal data. However, the inherent identification issuein multivariate probit models requires the covariance matrix of the unde...

Optimal Control Techniques for the Role of Antiretroviral Therapy (ART) Abuse in HIV/AIDS Treatment Dynamics

Bassey Echeng Bassey — 2022-11-24

Journal of Mathematics and Statistics, Published online: 24 November 2022; doi:10.3844/jmssp.2022.176.195

From the studies of HIV/AIDS transmission and treatment dynamicsusing mathematical modeling, literature reviews have shown that attention hadnot been given to the behavioral attitude of screen-aware i...

The Efficiency of Seven-Variable Box-Behnken Experimental Design with Varying Center Runs on Full and Reduced Model Types

Mary Paschal Iwundu — 2022-12-08

Journal of Mathematics and Statistics, Published online: 8 December 2022; doi:10.3844/jmssp.2022.196.207

Response Surface Methodology is widely used in the optimization of industrial processes and products that depend on several experimental variables. One of the most tested and efficient second-order Re...