Mathematical Theory and Modeling
http://www.iiste.org/Journals/index.php/MTM
<p><span id="internal-source-marker_0.04939836589619517"><span id="internal-source-marker_0.04939836589619517">Mathematical Theory and Modeling </span>is a peer reviewed journal published by IISTE. The journal publishes original papers at the forefront of mathematical theories, modelings, and applications. The journal is published in both printed and online versions. The online version is free access and download.</span></p><p><span>IISTE is member of <a href="http://www.crossref.org/01company/17crossref_members.html">CrossRef</a>.<br /></span></p>en-USMathematical Theory and Modeling2224-5804Bayesian Analysis of Inverse Lomax Distribution Using Approximation Techniques
http://www.iiste.org/Journals/index.php/MTM/article/view/37699
<p>The main aim of the present paper is to study the behavior of the shape parameter of Inverse Lomax Distribution by using various approximation techniques like Normal approximation and Tierney and Kadane (T-K) approximation. Different informative and non informative priors have been considered to obtain the Bayes’ estimate of the parameter of Inverse Lomax Distribution under these approximation techniques. Moreover, the estimates obtained under these priors have been compared using the simulation technique as well as real life data set.<strong></strong></p> <p><strong>Keywords: </strong>Bayesian estimation, Prior distribution, Normal approximation, T-K approximation.</p>Uzma Jan7Log-linear Model of Diabetic Patients of Plateau State General Hospitals
http://www.iiste.org/Journals/index.php/MTM/article/view/37700
<p>This study investigates Diabetes Mellitus, which is a disorder that is assuming pandemic proportion worldwide. With secondary data from Plateau State General Hospitals and a log-linear model analysis carried out using statistical package (SPSS version 21), to find out if there is a relationship between diabetes, gender and Body mass index (BMI). The result shows that there is a significant relationship between female as reported to BMI and diabetes with a P<sub>- </sub>value of 0.0007, and male as reported to BMI and diabetes with a P-<sub> </sub>value of 0.000. This indicates an interaction between gender, BMI and diabetes because all their P-values are less than the alpha level of 0.05. The study recommends public education on regular BMI checking, regular exercise and proper diet by both sex to avoid obesity which is generally associated with an increase in risk of diabetes mellitus.</p> <p><strong>Keywords: </strong>Diabetes Mellitus, Obesity, Body mass index and log-linear analysis.</p> <p> </p>Longben, Philip GobumDusu, Paul BotPeter, Shut AuduSelchak, Selbut DNanbol, Helen D.Gotan, Anthony7EFFECT OF FURTHER MATHEMATICS CURRICULUM ON STUDENTS’ PERFORMANCE IN SCIENCE-BASED SUBJECTS IN SENIOR SECONDARY CERTIFICATE EXAMINATION IN IKERE LOCAL GOVERNMENT, EKITI, NIGERIA
http://www.iiste.org/Journals/index.php/MTM/article/view/37701
<p><em>This study examined the effect of further mathematics curriculum on students’ performance in science-based subjects in senior secondary certificate examination in Ikere Local Government. The study adopted ex-post-facto research design which involves collection of information from records of</em><em>f our selected secondary school in the study area using s</em><em>tratified random sampling technique. An Inventory was used for data collection and analyzed using descriptive statistics (mean and standard deviation)and inferential statistics (t-test and correlation) at 0.05 level of significance .The result showed that there was significant difference between further mathematics and non-further mathematics students’ achievement in Mathematics, Biology, Chemistry and Physics, there was also a significant difference between further mathematics and non-further mathematics students’ overall achievement in Mathematics, Biology, Chemistry and Physics and there was positive and significant relationship between each of the subjects (Mathematics, Biology, Chemistry and Physics) and other science subjects. The authors recommend that Mathematics teachers should be encouraged to teach further mathematics in the school in order to develop students’ scientific skills right from secondary schools, Further Mathematics, if possible, should be made compulsory for both science and commercial students in secondary schools as majority of them will still take up a related course in further mathematics when they get to tertiary institution, government should provide enable facilities and environment that can assist teachers to teach further mathematics with ease. Facilities such as relevant textbooks, instructional materials and so on and science teachers should incorporate the knowledge of further mathematics in their teaching to compliment students’ knowledge. The School authorities should invite or employ specialist for the teaching of Further Mathematics where they are not available.</em></p> <p><strong>Key words: </strong>Further mathematics, curriculum, Pearson product-moment correlation, ex-post-facto research design</p>OLUWATUSIN E. A.DELE-ROTIMI A, O,7Smoothing non-stationary noise of the Nigerian Stock Exchange All-Share Index data using variable coefficient functions
http://www.iiste.org/Journals/index.php/MTM/article/view/37702
<p><em>We</em><em> employed variable coefficient models or generalized additive models (GAMs) with scatterplot smoothers such as smoothing splines to establish non-linear relationships that exist between non-stationary Nigeria Stock Exchange All-Share Index and three major monetary policy macroeconomic indicators using data collected from Central Bank of Nigeria and Nigeria Statistical Bulletin between 2004 and 2014</em><em>. Two flexible smoothing splines were postulated using backfitting algorithm with weights and stringent control on convergence precision and maximum number of iterations for convergence. This was to ensure convergence of the iterative estimation procedure and to provide unbiased estimate of the regression coefficients and their standard errors. Generalized Cross-validation (GCV) re-sampling technique was employed in determining the effective degrees of freedom EDF and smoothing parameters for the smoothing spline functions. We compared models accuracy using the residual deviance for the GAMs. Smoothing splines without interaction terms was selected. </em><em> </em><em>The analysis shows that volatile exchange rates, rising inflation rates and Treasury bill rates remain the major monetary policy macroeconomic variables causing instability in the growth of the country’s major stock market index, which is in line with conclusions drawn by [1]. </em><strong><em>R</em></strong><em> programming language packages were employed throughout the analysis.</em></p> <p><strong><em>Keywords</em></strong>: Nigerian Stock Exchange All-Share Index, variable coefficient models, generalized additive models, generalized cross-validation, smoothing splines and <strong><em>R</em></strong> programming language.</p>Alabi Nurudeen OlawaleAre Stephen Olusegun7