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 Modeling2224-5804The Comparison between the Simulation Variance for Censored and Uncensored Data for Maximum likelihood Normal Regression Model
http://www.iiste.org/Journals/index.php/MTM/article/view/34829
A normal linear regression model is considered in which we have data for n+m individuals. For the first (n) individuals the values of the response variable, say y1, y2 , … yn represent uncensored observations while for the remaining (m) individuals, the values denote by yn+1, yn+2… yn+m represent right-censored observations. Maximum likelihood estimation of the linear regression coefficients and residual variance for the normal case with censored and uncensored data is derived and assessed through simulation studies. The main findings result of the comparison between the simulation variance for censored and uncensored data is that for estimation of β0 and β1 for n=5, 10, the variance of the ml estimator had larger values than for estimation of β0 and β1 for n=5, 10 when there was censoring.Adel.A. Haddaw6New method for square root of non-singular M-matrix
http://www.iiste.org/Journals/index.php/MTM/article/view/34830
Square root of a matrix play an important role in many applications of matrix theory. In this paper, we propose a new iterative method for square root of a non-singular M-matrix. We first transform the matrix equation X2 – A=0 into special form of a non-symmetric algebraic Riccati equation (NARE), and then solve this special NARE by Newton method. Efficiency and effectiveness proved by theoretical analysis and numerical experiments. <strong>Keywords</strong>: - Matrix square root, M-matrix, Non-symmetric algebraic Riccati equation, Newton method.Zubair Ahmed KalhoroGhulam Qadir MemonAbdul Waseem ShaikhLinzhang Lu6Fixed Point and Common Fixed Point Theorem for Expansive Mapping in Fuzzy Metric Space
http://www.iiste.org/Journals/index.php/MTM/article/view/34831
In this paper, we have endeavored to establish fixed point and common fixed theorem forexpansive mapping in fuzzy metric space.Keywords: Fixed Point, Fixed Point Theorem, Metric Space, Fuzzy Metric Space, ExpansiveMappings.AMS Subject Classification [2000]: 47H10, 54H25, 46J10, 46J15Pankaj Tiwari6The Effect of Teaching Mathematics through Polya’s Problem Solving Process upon Attitudes of 4th Grade Students towards the Mathematics Lesson
http://www.iiste.org/Journals/index.php/MTM/article/view/34832
<p>Education is a factor changing the individuals in every sense as well as affecting their attitudes. Through the education, various terminal and spontaneous behaviors are possible to be given to the individuals. In this sense, teachers play an active role upon the attitudes of students. For that reason, teachers’ measuring the attitudes of students towards a specific issue accurately and organizing the educational activities considering these attitudes increase the quality of education. It has been revealed in the studies carried out previously for several times that students have had difficulties in mathematics lesson and mostly developed negative attitudes towards this lesson. Student success’ being at not a desired level upon especially mathematical problem solving has been revealed in reports organized internationally. The purpose of this research was to investigate teaching problem solving as one of the areas students had the most difficulty through Polya’s phases upon students’ attitudes towards the mathematics. In the study, “pre-test and post-test control-group design” as one of the research methods was used as semi-experimentally. The students who participated into the research were determined choosing one experimental group and one control group among the 4th grade students studying at two state elementary schools in Adana province in 2014-2015 academic year. Upon the selection of the schools and students, mathematics grade-point averages and standard deviations of the previous term were regarded. As the data collection tools, Attitude Scale for Mathematics Lesson and Information Form developed by the researchers for determining the gender and ages of the students were used. Obtained data were analyzed using SPSS 22 statistical software program. In order to determine gender and age distributions, statistical methods such as frequency and percentage were used. For determining to what extent employed implementation affected the attitude towards mathematics, pre-attitude and post-attitude variance analyses of the groups were analyzed. As result of the analyses, it was noticed that although scores of the experimental group students were higher in post-attitude variance analyses of the groups, this difference was not significant. This revealed that mathematics teaching through the Polya’s phases provided a contribution upon attitudes of students towards the lesson; however, this contribution was not at a significant level; and the reason for this was the fact that changing of attitudes at a short period was difficult.</p><p><strong>Key Words</strong>: Polya’s problem solving phases, Mathematics teaching, 4th grade, Attitude</p>Lutfi UREDIPelin KOSECE LOGOGLU6Transient Analysis of M[X1];M[X2]=G1;G2=1 Queueing Model with Retrial Priority Service, Negative Arrival, Two kinds of Vacations, Breakdown, Delayed Repair, Balking, Reneging and Feedback
http://www.iiste.org/Journals/index.php/MTM/article/view/34833
<p>This paper deals with the analysis of batch arrival retrial queue with two classes non-preemptive priorityunits, negative arrival, balking as well as reneging, feedback, emergency and Bernoulli vacation for anunreliable server. Here we assume that customers arrive according to compound Poisson process inwhich priority customers are assigned to class one and class two customers are of a low-priority type.If the server is free at the time of any batch arrivals, the customers of this batch begins to be servedimmediately. The low-priority customer may join the orbit with feedback if the service is not satisfied(or) may leave the system if the service is satisfied. The priority customers that find the server busyare queued and then served in accordance with FCFS discipline. The priority customers may renegethe queue if the server is not avilable in the system and there is no optional for feedback service tothe priority customers. The arriving low-priority customers on finding the server busy then they arequeued in the orbit in accordance with FCFS retrial policy without balking (or) may balk the orbit.While the server is serving to the customers, it faces two types of break-down there are breakdowns bythe arrival of negative customer and break-down at any instant of service and server will be down for ashort interval of time. Further concept of the delay time of repair is also introduced for breakdowns. Weconsider two different kinds of vacations, one is an emergency and the other one is Bernoulli vacation, theemergency vacation means at the time of the server serving the customer suddenly go for a vacation andthe interrupted customer waits to get the remaining service and after the completion of each service, theserver either goes for a vacation or may continue to serve for the next customer; if any . The retrial time,service time, vacation time, delay time and repair time are all follows general(arbitrary) distribution.Finally, we obtain some important performance measures of this model.</p><p><strong>Keywords:</strong>Batch<strong> </strong>arrival, priority queue, retrial queue, negative arrival, emergency and Bernoulli vacation, unreliableserver, breakdown and repair.</p><p><strong>AMSC</strong>: 60K25; 60K30; 90B22</p>G. AyyappanP. Thamizhselvi6Modelling of Malaria Risk Factors in the Mpohor District of Ghana using Logistic Regression
http://www.iiste.org/Journals/index.php/MTM/article/view/34834
This study was aimed at assessing and deriving a predictive model for the relationship between malaria prevalence and malaria causing factors (covariates) in the Mpohor District (which is located in the Western Region of Ghana) by logistic regression. Risk factors such as seasonality (wet or dry), altitude, mining community, proximity of water body, vegetation proximity and clinic proximity were assessed using logistic regression. Collinearity test was performed to avoid information duplicate and multicolinearity by examining the Variance Inflation Factor (VIF) of each covariate. The relationship between malaria and its underlying factors was analysed through stepwise logistic regression where the wald statistics and odds ratio (OR) proved their significance. The results showed that the risk factors such as altitude, seasonality, water body proximity, vegetation proximity and mining community were significant predictors of malaria morbidity in the District . However, it was found that proximity of health facility to community was not a good malaria morbidity predictor. It was recommended among other things, that further research involving more communities in the District and including other known malaria factors be carried out to provide complete and more reliable information that is useful in malaria control. Keywords: Mslaria prevalence, modelling ,odds ratioSenyefia Bosson-AmedenuKojo Amuah PrahFrancis Hull AdamsSampson Takyi AppiahAnthony Simons6Seasonal Variation and Trend of Malaria Prevalence in the Mpohor District of Ghana
http://www.iiste.org/Journals/index.php/MTM/article/view/34835
<p>The objective of this study was to determine the trend and the seasonal variation of prevalence of malaria (if any) in order to assist health policy makers in the Mpohor district. Monthly malaria morbidity cases over six year period (from January 1, 2008 to December 31, 2013) were analysed in the wet (March- July) and dry (November- January) seasons in four selected communities in the Mporhor District of Ghana. The Chi square test was performed to assess the nominal variable difference between malaria prevalence in wet and dry seasons.......</p><p>More details can be found in the full text of the article.</p>Senyefia Bosson-AmedenuKojo Amuah PrahFrancis Hull Adams6Malaria prevalence in rural and urban communities of Mpohor district of Ghana
http://www.iiste.org/Journals/index.php/MTM/article/view/34836
<p>This study was aimed mainly at determining the prevalence of malaria in rural and urban settlements in the Mpohor district of Ghana. It was also crucial determining if malaria prevalence was dependent on age (above age of five or below the age of five).There was the need to also determine the effect of malaria incidence on hospitalization in the wet and dry seasons.....</p><p>More details can be found in the full paper of the article.</p>Senyefia Bosson-AmedenuKojo Amuah PrahFrancis Hull Adams6