http://ejournal.uin-malang.ac.id/index.php/Math/issue/feedCAUCHY2018-12-08T05:51:36+07:00Juhari, M.Sicauchy@uin-malang.ac.idOpen Journal Systems<h3>CAUCHY - Jurnal Matematika Murni dan Aplikasi</h3><p><span lang="id"><span class="hps"><strong>p-ISSN: <a href="http://u.lipi.go.id/1255061534" target="_blank">2086-0382</a> | e-ISSN: <a href="http://u.lipi.go.id/1447468580" target="_blank">2477-3344</a></strong></span></span><strong></strong></p><p><strong><span lang="id"><span class="hps"><br /></span></span></strong><span id="result_box" lang="en"> <strong>CAUCHY</strong> <span>is a</span> <span>mathematical journal</span> <span>published</span> <span>twice a year</span> <span>in May</span> <span>and</span> <span>November</span> <span>by</span> <span>the Mathematics</span> Department, F<span>aculty of</span> <span>Science</span> <span>and</span> T<span>echnology, </span><span>Universitas Islam Negeri Maulana Malik Ibrahim Malang</span></span></p><p><span id="result_box" lang="en"><span><strong>CAUCHY: Jurnal Matematika Murni dan Aplikasi </strong><span><strong>has been accredited by the Ministry of Research, Technology, and Higher Education of the Republic Indonesia</strong></span><strong> as an academic journal (SK: 21/E/KPT/2018) since May 9 2018.</strong> </span></span></p><p><span lang="en">We welcome authors for original articles (research), review articles, interesting case reports, special articles illustrations that focus on the <strong>Pure and Applied <strong>Mathematics.</strong></strong></span></p><p>Subjects suitable for publication include, <strong>but are not limited</strong> <strong>to</strong>, the following fields of:</p><ul><li>Fuzzy Systems and its Applications</li><li>Geometry Theories and its Applications</li><li>Graph Theories and its Applications</li><li>Real Analysis and its Applications </li><li>Operation Research and its Applications</li><li>Statistical Theories and its Applications</li><li>Dinamical Systems and its Applications</li><li>Mathematical Modeling and its Applications</li><li>Discrete Mathematics and its Applications</li><li>Computer Mathematics and its Applications</li><li>Actuarial Mathematics and its Applications</li></ul><p><span lang="en"><span>Our journal is indexed on DOAJ; Indonesian Scientific Journal Database (ISJD); WorldCat; OneSearch; Google Scholar.</span></span></p><p><span lang="en"><span><strong>Journal History</strong><br />CAUCHY: Jurnal Matematika Murni dan Aplikasi has several changes and updates in its history as follows: 1). On 2009-2012, the cover color was changed from yellow to purple; 2). On 2013-2015, it used two-column system for the layout; 3). From 2016, it uses one-column layout and each article submitted to CAUCHY has to be written in English.</span></span></p><strong><span lang="en"><span id="result_box" lang="en"><span id="result_box" lang="en"><span> <a href="http://s1153.photobucket.com/user/joehari1/media/new1.gif.html" target="_blank"><img src="http://i1153.photobucket.com/albums/p503/joehari1/new1.gif" alt=" photo new1.gif" border="0" /></a> </span></span></span><span id="result_box" lang="en"><span id="result_box" lang="en"><span>Starting from Vol</span><span>.</span> <span>4 No.</span> <span>2</span> <span>(2016)</span> <span>Cauchy</span> <span>use a new layout template</span></span><br /></span></span></strong><p>Registration and article submission guidelines can be downloaded <a href="https://goo.gl/crrzlC" target="_blank">here</a>.</p><p><span lang="id"><span class="hps"><br /></span></span></p>http://ejournal.uin-malang.ac.id/index.php/Math/article/view/5897Front -Matter2018-12-08T05:51:35+07:00Front Mattercauchy@uin-malang.ac.idxxxx2018-12-06T20:10:13+07:00Copyright (c) 2018 CAUCHYhttp://ejournal.uin-malang.ac.id/index.php/Math/article/view/5903Preface2018-12-08T05:51:35+07:00Preface Prefacecauchy@uin-malang.ac.idxxx2018-11-30T00:00:00+07:00Copyright (c) 2018 CAUCHYhttp://ejournal.uin-malang.ac.id/index.php/Math/article/view/5898Back - Matter2018-12-08T05:51:35+07:00Back Mattercauchy@uin-malang.ac.idxxx2018-12-06T20:10:14+07:00Copyright (c) 2018 CAUCHYhttp://ejournal.uin-malang.ac.id/index.php/Math/article/view/3777Restricted Maximum Likelihood Method As An Alternative Parameter Estimation in Heteroscedastic Regression2018-12-08T05:51:35+07:00Dwi Masrokhahdwi.masrokhah@gmail.comLoekito Adi Soehonodwi.masrokhah@gmail.comSuci Astutikdwi.masrokhah@gmail.com<p>Students are part of the community who have an income. The income of students are pocket money, scholarships, part-time jobs and so forth. They are trying to become trendsetter in get dress and . The consumption patterns are very influential in behavior of saving. If the savings increases not only the public funds will increase but also the investment. If the investment increases the economic growth has also increased. The purpose of this research is to estimate multiple regression parameters using REML methods in modeling the student’s saving in Faculty of Mathematics and Natural Science, Brawijaya University. The variables used were X_1= The student’s age (years), X_2= The amount of income of student’s parent (thousand rupiah), X_3= The amount of student’s pocket money (thousand rupiah), X_4= The amount of student’s additional income (thousand rupiah), X_5= The amount of student’s consumption (thousand rupiah) and Y= The amount of student’s saving (thousand rupiah).<br />REML method can overcome heteroscedasticity error variance and unbiased estimator. The model of student’s saving is using REML method as follows:<br />Y ̂_i= -1855,66 +121,5 X_1+0.0098X_2+0.0524 X_3+0.5587 X_4-0.5851X_5<br />Student’s saving affected by: student’s age (years), the amount of student’s additional income (thousand rupiah), and the amount of student’s consumption (thousand rupiah).</p>2018-12-06T20:10:14+07:00Copyright (c) 2018 CAUCHYhttp://ejournal.uin-malang.ac.id/index.php/Math/article/view/5331On The Metric Dimension of Some Operation Graphs2018-12-08T05:51:35+07:00Marsidi Marsidimarsidiarin@gmail.comIka Hesti Agustinikahesti@fmipa.unej.ac.idDafik Dafikd.dafik@gmail.comRidho Alfarisimarsidiarin@gmail.comHendrik Siswonomarsidiarin@gmail.com<p class="Abstract">Let be a simple, finite, and connected graph. An ordered set of vertices of a nontrivial connected graph is and the -vector represent vertex that respect to , where and is the distance between vertex and for . The set called a resolving set for if different vertex of have different representations that respect to . The minimum of cardinality of resolving set of G is the metric dimension of , denoted by . In this paper, we give the local metric dimension of some operation graphs such as joint graph<em> </em> , amalgamation of parachute, amalgamation of fan, and .</p>2018-12-06T20:10:14+07:00Copyright (c) 2018 CAUCHYhttp://ejournal.uin-malang.ac.id/index.php/Math/article/view/5349Simulation Study The Implementation of Quantile Bootstrap Method on Autocorrelated Error2018-12-08T05:51:36+07:00Ovi Delviyanti Saputriovidelviyanti@gmail.comFerra Yanuarferrayanuar@sci.unand.ac.idDodi Deviantoddevianto@sci.unand.ac.id<span lang="DE">Quantile regression is a regression method with the approach of separating or dividing data into certain quantiles by minimizing the number of absolute values from asymmetrical errors to overcome unfulfilled assumptions, including the presence of autocorrelation. The resulting model parameters are tested for accuracy using the bootstrap method. The bootstrap method is a parameter estimation method by re-sampling from the original sample as much as R replication. The bootstrap trust interval was then used as a test consistency test algorithm constructed on the estimator by the quantile regression method. And test the uncommon quantile regression method with bootstrap method. The data obtained in this test is data replication 10 times. The biasness is calculated from the difference between the quantile estimate and bootstrap estimation. Quantile estimation methods are said to be unbiased if the standard deviation bias is less than the standard bootstrap deviation. This study proves that the estimated value with quantile regression is within the bootstrap percentile confidence interval and proves that 10 times replication produces a better estimation value compared to other replication measures. Quantile regression method in this study is also able to produce unbiased parameter estimation values.</span>2018-12-06T20:10:14+07:00Copyright (c) 2018 CAUCHYhttp://ejournal.uin-malang.ac.id/index.php/Math/article/view/5511SVIR Epidemic Model with Non Constant Population2018-12-08T05:51:36+07:00Joko Hariantojoharijpr88@gmail.comTitik Suparwatijoharijpr88@gmail.comIn this article, we present an SVIR epidemic model with deadly deseases and non constant population. We only discuss the local stability analysis of the model. Initially the basic formulation of the model is presented. Two equilibrium point exists for the system; disease free and endemic equilibrium point. The local stability of the disease free and endemic equilibrium exists when the basic reproduction number less or greater than unity, respectively. If the value of R0 less than one then the desease free equilibrium point is locally asymptotically stable, and if its exceeds, the endemic equilibrium point is locally asymptotically stable. The numerical results are presented for illustration.2018-12-06T20:10:14+07:00Copyright (c) 2018 CAUCHYhttp://ejournal.uin-malang.ac.id/index.php/Math/article/view/5516The Rainbow Vertex-Connection Number of Star Fan Graphs2018-12-08T05:51:36+07:00Ariestha Widyastuty Bustanariesthawidyastutybustan@gmail.comA.N.M. Salmanariesthawidyastutybustan@gmail.com<p>A vertex-colored graph is said to be rainbow vertex-connected, if for every two vertices and in , there exists a path with all internal vertices have distinct colors. The rainbow vertex connection number of , denoted by is the smallest number of colors needed to make rainbow vertex connected. In this paper, we determine the rainbow vertex connection number of star fan graphs.</p>2018-12-06T20:10:14+07:00Copyright (c) 2018 CAUCHYhttp://ejournal.uin-malang.ac.id/index.php/Math/article/view/5541Improving the Guidance Learning (LBB) Consumer Satisfaction in Malang using DANP - TOPSIS method2018-12-08T05:51:36+07:00Kwardiniya Andawaningtyasdina_math@ub.ac.idEndang Wahyu Handamaridina_math@ub.ac.idCorina Karimcorinaub@gmail.comDecision analysis of Multiple Attribute Decision Making (MADM) model is used to assess the performance, not only in a rank but also in a plan of marketing strategy as an effort to increase consumers’ satisfaction by combining DEMATEL-based Analytical Network Process (DANP) method and the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) method. One of the industrial services in the education nowadays is the services of the Guidance Learning (LBB). This article has 3 alternatives to 6 criteria. The questionnaire was distributed to 80 LBB’ students and 55 LBB’ mentors. The result of the dominant criteria affecting customer satisfaction of LBB in Malang by DANP method is the mentor quality. Meanwhile, the TOPSIS result showed that the LBB of Avicenna Education Malang is the best alternative to the marketing strategy..2018-12-06T20:10:14+07:00Copyright (c) 2018 CAUCHYhttp://ejournal.uin-malang.ac.id/index.php/Math/article/view/5633Simulation Study The Using of Bayesian Quantile Regression in Nonnormal Error2018-12-08T05:51:36+07:00Catrin Muharisaferrayanuar@sci.unand.ac.idFerra Yanuarferrayanuar@sci.unand.ac.idDodi Deviantoddevianto@sci.unand.ac.idThe purposes of this paper is to introduce the ability of the Bayesian quantile regression method in overcoming the problem of the nonnormal errors using asymmetric laplace distribution on simulation study. <strong>Method: </strong>We generate data and set distribution of error is asymmetric laplace distribution error, which is non normal data. In this research, we solve the nonnormal problem using quantile regression method and Bayesian quantile regression method and then we compare. The approach of the quantile regression is to separate or divide the data into any quantiles, estimate the conditional quantile function and minimize absolute error that is asymmetrical. Bayesian regression method used the asymmetric laplace distribution in likelihood function. Markov Chain Monte Carlo method using Gibbs sampling algorithm is applied then to estimate the parameter in Bayesian regression method. Convergency and confidence interval of parameter estimated are also checked. <strong>Result: </strong>Bayesian quantile regression method results has more significance parameter and smaller confidence interval than quantile regression method. <strong>Conclusion: </strong>This study proves that Bayesian quantile regression method can produce acceptable parameter estimate for nonnormal error.2018-12-06T20:10:14+07:00Copyright (c) 2018 CAUCHYhttp://ejournal.uin-malang.ac.id/index.php/Math/article/view/5877Structural Equation Modeling Based on Variance The Density Index of Larvae of The Rainy Season in the City of Banjarbaru2018-12-08T05:51:36+07:00Isnawati Isnawatiisna.husaini1@gmail.comBambang Widjanarko Otokdr.otok.bw@gmail.comSuharto Suhartodr.otok.bw@gmail.comArief Wibowodr.otok.bw@gmail.comClimate change causes changes rainfall, temperature, air humidity and wind direction so that affect the reproduction of vectors of diseases such as the mosquito <em>Aedes</em>, <em>Malaria</em>, etc. that it needs to be monitored the increase in many cases DB. free number of larvae (<em>ABJ</em>) is one of the larva density indicator, although <em>ABJ</em> has more than 90 percent but morbidity remains high. The condition of the <em>ABJ</em> not describes the density of larvae jentik, so that the need to study the density jentik indicator that more can describe as the larvae density index with SEM based Variance approach. The results of the study showed that the structural model nonparametric to larva density is the best model based on the criteria of R<sup>2</sup> and Q<sup>2</sup>. The Ministry of Health and behavior, environment condition and breeding place/site effect on the larva density of 87.7%. The dominant indicator counseling on health services, knowledge on the behavior of the temperature of the water on the conditions in the environment and the material container on the breeding place/sites<em>. </em>While on the larva density each indicator provides value loading, larvae density index (0.864), House index (0.459), Container index (0.894), and Breateau index (0.925). Environmental conditions the dominant factor in affecting larva density decline of 32.4%, with each indicator larvae density index (28%), House index (15%), Container index (29%), and Breateau index (30%).2018-12-06T20:10:14+07:00Copyright (c) 2018 CAUCHYhttp://ejournal.uin-malang.ac.id/index.php/Math/article/view/5879Geographically Weighted Regression to Predict the Prevalence of Hypertension Based on the Risk Factors in South Kalimantan2018-12-08T05:51:36+07:00Suroto Surotosurotojahrani@yahoo.co.idBambang Widjanarko Otokdr.otok.bw@gmail.comSuharto Suhartodr.otok.bw@gmail.comArief Wibowodr.otok.bw@gmail.comHypertension is one of the disease is not contagious diseases which is a public health problem. Uncontrolled Hypertension can trigger a degenerative diseases such as congestive heart failure, renal failure and vascular disease. Hypertension is called the silent killer because his nature the condition is asymptomatic and can cause a fatal stroke. With the increasing prevalence of cases of degenerative diseases, one only hypertension, then the researchers want to predict the variables very big role as one of the risk factors of Genesis hypertension. With clearly know the risk factors that play against genesis hypertension is expected to be used as a reference for the prevention and control so that they can reduce the prevalence of hypertension and prevent deaths from degenerative diseases, especially hypertension. The results of the study showed that the results of the modeling the prevalence of hypertension in South Kalimantan Province using linier regression there is no factor that affect the genesis of hypertension. The prevalence of hypertension spread spatially because there are heterogenitas between the location of the observation that means that observations of a location depends on the observations in another location that the distance is near so do spatial regression modeling with <em>Adaptive Gaussian kernel function, </em>meghasilkan 5 groups. Group I consists of the districts <em>Tanah Laut</em> and <em>Tanah Bumbu; </em>group II, <em>Kota Baru</em>; Group III consists of <em>Banjar, Kota Banjar Baru, Kota Banjarmasin</em>; Group IV on the <em>Barito Kuala</em> Regency and the Group V consists of <em>Tapin, H S Selatan, H S Tengah, H S Utara, Tabalong, Balangan</em>.2018-12-06T20:10:15+07:00Copyright (c) 2018 CAUCHYhttp://ejournal.uin-malang.ac.id/index.php/Math/article/view/5880Vector Autoregressive Modeling on Cases of Malaria Based on the Tribal in Tanah Bumbu District2018-12-08T05:51:36+07:00Abdul Khairulunkhair@gmail.comSarmanu Sarmanuprof.sarmanu@yahoo.comSanti Martinisanti-m@fkm.unair.ac.idBambang Widjanarko Otokdr.otok.bw@gmail.comThe number of malaria in this area always has the tendency of the most compared to the city/district in South Kalimantan Province. Behavior is internalisation factor from the level of knowledge, attitudes and actions of a person who influenced by customs, customs and belief in certain things that has been handed down by his ancestors. The behavior of a community group can be different from the other groups so that they formed a group behavior or can be said tribal behavior.The purpose of this research predicts that the number of the prevalence of malaria in Tanah Bumbu tribal based with Y<sub>1t</sub> : the tribe of Banjar, Y<sub>2t</sub> : Javanese, Y<sub>3t</sub> : the tribe of Bugis, and Y<sub>4t</sub> : other tribes using vector autoregressive (VAR) model. The results of the study showed with Granger Causality approach there is a relationship between the amount of the prevalence of Malaria Javanese with other tribes, Bugis tribe with other tribes. The relationship is strengthened in the VAR model, which is the number of the prevalence of Malaria Javanese influenced by the number of the prevalence of Malaria Javanese at period t-1, and the number of the prevalence of Malaria tribe Bugis at period t-1. While the number of the prevalence of Malaria tribe Bugis influenced by the number of the prevalence of Malaria Other tribes in the period t-2.2018-12-06T20:10:15+07:00Copyright (c) 2018 CAUCHYhttp://ejournal.uin-malang.ac.id/index.php/Math/article/view/5881The Estimation of Generalized Method Moment Poisson Regression Model on the Prevalence of Acute Respiratory Tract Infection (RTI) in South Kalimantan2018-12-08T05:51:36+07:00Mahpolah Mahpolahmahpolah@ymail.comSuharto Suhartodr.otok.bw@gmail.comArief Wibowodr.otok.bw@gmail.comBambang Widjanarko Otokdr.otok.bw@gmail.com<em>ACUTE (RTI)</em> is still an important health problem because the cause of the death of infants and children under five high enough, 1 from 4 death that happens. The purpose of this research examines the factors that affect the genesis <em>ACUTE (RTI)</em> using poisson regression approach with estimates of the maximum likelihood estimator (MLE) and generalized method moment (GMM). This research done in the area of Health Clinic in South Kalimantan. The results of the study showed that the estimates of the GMM method on Poisson regression model gives better performance in terms of the significance of the parameters than the MLE method. The factors that affect an increasing number of the prevalence of <em>ACUTE (RTI)</em> a region namely persentase Breast Feeding non-exclusive (0.0279), the percentage of low birth weight (0.0569), the percentage of shelter density (0.028), the percentage of the existence of smoker family members in the house (0.0308), the percentage of immunization is not complete (0.0193). While the factors that affect a downturn in the number of the prevalence of <em>ACUTE (RTI)</em> in a region which is the percentage of the number of infants less than 2 (0.0364), the percentage of normal nutrition status (0.0224), the percentage of Mothers Education on high school (0.0339), and the percentage of social economy (<em>UMP</em> enough to top) (0.0194).2018-12-06T20:10:15+07:00Copyright (c) 2018 CAUCHY