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Mikailalsys Journal of Mathematics and Statistics
Published by Lembaga Yasin Alsys
ISSN : 30308399     EISSN : 3030816X     DOI : https://doi.org/10.58578/mjms
Core Subject : Education, Engineering,
Engineering Mathematics Mechanical Engineering
The journal contains scientific articles covering topics such as mathematical theory, statistical methods, the application of mathematics in various disciplines, and statistical data analysis. The primary objective of this journal is to promote a better understanding of mathematical and statistical concepts and to encourage advancements in the methods and applications of mathematics and statistics in various contexts. The journal serves as a platform for researchers, academics, and practitioners to share knowledge and the latest research findings in the fields of mathematics and statistics. MJMS publishes three editions a year in February, June, and October.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 79 Documents
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Derivation of Two Parameters Poisson Rani Distribution and Its Properties Alao, Bamigbala Olateju; Peter, Pantuvo Tsoke; Babando, Ikrimat Aliyu; Gatta, Abdulganiy Abdullahi
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 1 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i1.4385

Abstract

This study introduces the Two Parameters Poisson Rani Distribution (TPPRD). The probability distribution of TPPRD is derived by assuming that the parameters of the Poisson distribution follow the Two Parameters Rani Distribution, resulting in the formation of the TPPRD. The study derives some of its fundamental properties and demonstrates that TPPRD is a special-case distribution capable of handling overdispersed count data. Additionally, the maximum likelihood estimators are used to derive equations for estimating the parameters of the Two Parameters Poisson Rani Distribution.
Matrices of Fibonacci Numbers Kumar, Nand Kishor; Sahani, Suresh Kumar
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 1 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i1.4398

Abstract

This paper describes the matrix representation of Fibonacci numbers. The interaction between number theory and linear algebra is emphasized by the study of Fibonacci numbers using matrices. This viewpoint not only makes calculation easier, but it also reveals the sequence's underlying structural characteristics.
Relative Strength of Common Fixed Point Results for Two Self Mapping in Fuzzy Metric Space Tiwari, Surendra Kumar; Agrawal, Ranu
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 1 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i1.4510

Abstract

The concept of fuzzy metric space, which was introduced by Kramosil and Michalek (1975), is used in this article. In this manuscript, we present and generalize some common fixed point theorems in fuzzy metric spaces, which is an extension of the well-known results given by shen, Y. et al. (2012) in the sense of Schweizer and Sklar(1983).
Mathematical Modeling to Reduce Disordered Cell Division Kuloğlu, Bahar
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 1 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i1.4693

Abstract

The Fibonacci sequence is a sequence of numbers that gets closer and closer to the golden ratio when divided by the number before it. The golden ratio has been recognized since antiquity as the order relation that gives the best harmony and proportions in many formations in art and nature. Fibonacci polynomials, which are obtained with the help of these number sequences, are a mathematical modelling developed to be used in many branches of science. The correlation data of the 3-step and 4-step Fibonacci polynomials obtained from the division accelerations of cells, which are standardly indexed to irregular division, and the development of Fibonacci polynomials were obtained. In this correlation, it is seen that the aggregation in the interval [0,1] is closer to 0 in the 3-step Fibonacci polynomial, while it moves away from 0 in the 4-step Fibonacci polynomial. The 4-step Fibonacci polynomial obtained here represents the division modelling of any cell indexed to irregular division. In order to ensure the digitizability of the obtained 3-step and 4-step Fibonacci polynomials, the coefficients of these polynomials are converted into a BINARY code system, then ENTROPI values are calculated by taking polynomials that can take values less than 1 in the interval [0,1] according to the definition of probability density functions and irregular division comparisons are made by obtaining scatter plots.
Fibonacci Polynomials and It’s Generalization Kumar, Nand Kishor; Sahani, Suresh Kumar
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 1 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i1.4810

Abstract

This article explores the definition, properties, and generalizations of Fibonacci polynomials, providing a comprehensive understanding of their mathematical significance. We have used their Binet’s formula and generating function to derive the identities.
Examining the Relationship Between Brand Satisfaction and Customer Experience in Nepal's Retail Banking Sector Karna, Poonam Kumari Labh
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 1 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i1.4978

Abstract

This study examines the primary determinants of customer happiness and loyalty in Nepal's competitive retail banking industry. By integrating insights from primary data and existing literature, this study investigates the effects of situational factors (frequency of bank visits, length of customer-bank relationship) and service quality dimensions (tangibility, reliability, responsiveness, assurance, and empathy) on customer satisfaction and subsequent loyalty. Information was gathered from 575 customers of "A"-class commercial banks in Kathmandu, Nepal, using structured questionnaires. Statistical analysis, such as factor analysis, multiple regression, correlation analysis, and mediation testing (Sobel test), was employed to look into the relationships between the variables. The findings show that elements of service quality, particularly reliability and assurance, have a significant positive impact on customer satisfaction and loyalty. It's interesting to note that while relationship duration positively enhances enjoyment, visit frequency exhibits a negative correlation with it. For banks seeking to enhance customer satisfaction, experience, and enduring loyalty, these insights provide valuable guidance.
A Mathematical Model for Malaria Disease Dynamics with Relapse Parameter K, Adamu A.; B, Williams; M, Bulus S.
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 1 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i1.4985

Abstract

Malaria is one of the oldest diseases that has been extensively researched from multiple perspectives. Although many infectious diseases, including malaria, are preventable, they remain widespread in numerous communities due to insufficient, delayed, or ineffective control measures. Effective disease control involves rapidly reducing the infected population when a cure is available and minimizing susceptibility through vaccination when possible. Since malaria vaccines are still under development, vaccination offers a potential strategy for reducing the number of susceptible individuals. In this paper, we have analyzed and modified the SPITR mathematical model by Adamu et al. (2017) to study the transmission and control of malaria. Our modifications include the incorporation of a relapse parameter, and we have determined the basic reproduction number for the revised model. We demonstrated that the disease-free equilibrium (DFE) is locally asymptotically stable when the reproduction number is less than one and becomes unstable when it exceeds one. This finding suggests that with a combination of effective treatment, malaria relapse rate can be reduced and malaria in general can be effectively controlled in the population if the reproduction number is kept below unity.
Bayesian Analysis of Modified Inverse Lomax Distribution with Application Telee, Lal Babu Sah
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 2 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i2.5076

Abstract

This study investigates the use of the Modified Inverse Lomax (MILX) distribution to model survival data for patients suffering from Head and Neck cancer who were treated with radiotherapy. The dataset, consisting of 44 observations, is analyzed using maximum likelihood estimation (MLE) and Bayesian methods via Markov Chain Monte Carlo (MCMC) sampling. Key parameters of the MILX model are estimated, and posterior predictive checks are performed to assess model fit. Convergence diagnostics using Gelman-Rubin statistics and trace plots demonstrate reliable parameter estimation, with high effective sample sizes. The model's performance is evaluated using posterior predictive intervals (PPI) and Widely Applicable Information Criterion (WAIC). Residual analysis shows that while the model fits most of the data well, it struggles with larger observed values. The findings highlight the applicability of the MILX distribution in modeling heavy-tailed data with varying uncertainties, and its utility in predicting future observations.
Fitting Linear Probability Model and Logit to Prevalence of Hepatitis B and C Data in Donga Local Government Area of Taraba State Ogunmola, Adeniyi Oyewole; Sambo, Garsama
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 2 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i2.5145

Abstract

Hepatitis B and C are significant global public health concerns, responsible for a substantial burden of liver disease. The prevalence of hepatitis B and C varies widely across different populations and regions, influenced by factors such as age, sex, geographic location, and risk behaviors. This study focuses on examining the effects of age and sex on the prevalence of hepatitis B and C. By analyzing data on the presence or absence of these infections across different age categories and between sexes, we aim to identify patterns that could inform targeted public health efforts. Linear probability model and logit through generalised linear model were fitted on the data collected at the first referral hospital laboratory Donga. Results showed that both models fit the data, and significant factors are age category and the interaction of age category and sex. But it is discovered that the logit model fitted the data more with a lower value of AIC and BIC.
A Deterministic Modeling Approach in Identifying the Optimal Screening for Human Immunodeficiency Virus Management Ogunmola, Adeniyi Oyewole; Jolayemi, Emmanuel Teju
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 2 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i2.5146

Abstract

The enormous success made in the development of drugs for Human Immunodeficiency Virus (HIV) infection to suppress the viral load of the disease, avert death and suffering due to the disease, no HIV individual is supposed to experience morbidity or death due to the disease. However, most affected people only avail themselves for HIV test at symptomatic stage which leads to morbidity and mortality due to Acquired Immune Deficiency Syndrome (AIDS). In the absence of HIV vaccine for the prevention against HIV infection, HIV screening test would be the next close to vaccination. This aim of this study was to developed a model that determine the optimal HIV screening sequence as intervention for HIV in a population. The concept of screening was brought into system of non-linear differential equations to obtain the deterministic model. The screening sequence and the varying population proportions were used in determining the optimal screening. The findings were that; when the systematic HIV screening of the population was done in six years, mortality and morbidity occurrences were reduced, and subsequent systematic screening reduced morbidity and mortality more in the population; and screening thirty percent of the population every year saved the lives of ninety percent HIV individuals and forestalled ninety percent of them from experiencing morbidity. It was noted also that screening fifty percent of the population three times within six years produced the same effect.

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