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<![CDATA[Model-Check Based on Residual Partial Sums Process of Heteroscedastic spatial Linear Regression Models ]]>
<![CDATA[Wayan Somayasa]]>
<![CDATA[ Jurnal Matematika Vol 1 No 2 (2011) ]]>
Publisher : <![CDATA[Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University ]]>
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DOI: 10.24843/JMAT.2011.v01.i02.p15
<![CDATA[It is common in practice to evaluate the correctness of an assumed linear regressionmodel by conducting a model-check method in which the residuals of the observations areinvestigated. In the asymptotic context instead of observing the vector of the residuals directly,one investigates the partial sums of the observations. In this paper we derive a functional centrallimit theorem for a sequence of residual partial sums processes when the observations comefrom heteroscedastic spatial linear regression models. Under a mild condition it is shown thatthe limit process is a function of Brownian sheet. Several examples of the limit processes arealso discussed. The limit theorem is then applied in establishing an asymptotically Kolmogorovtype test concerning the adequacy of the fitted model. The critical regions of the test for finitesample sizes are constructed by Monte Carlo simulation.]]>
<![CDATA[Spline Truncated Multivariabel pada Permodelan Nilai Ujian Nasional di Kabupaten Lombok Barat ]]>
<![CDATA[Nurul Fitriyani]]>;
<![CDATA[Lailia Awalushaumi]]>;
<![CDATA[Agus Kurnia]]>
<![CDATA[ Jurnal Matematika Vol 7 No 2 (2017) ]]>
Publisher : <![CDATA[Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University ]]>
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DOI: 10.24843/JMAT.2017.v07.i02.p90
<![CDATA[Regression model is used to analyze the relationship between dependent variable and independent variable. If the regression curve form is not known, then the regression curve estimation can be done by nonparametric regression approach. This study aimed to investigate the relationship between the value resulted by National Examination and the factors that influence it. The statistical analysis used was multivariable truncated spline, in order to analyze the relationship between variables. The research that has been done showed that the best model obtained by using three knot points. This model produced a minimum GCV value of 44.46 and the value of determination coefficient of 58.627%. The parameter test showed that all factors used were significantly influence the National Examination Score for Senior High School students in West Lombok Regency year 2017. The variables were as follows: National Examination Score of Junior High School; School or Madrasah Examination Score; the value of Student’s Report Card; Student’s House Distance to School; and Number of Student’s Siblings.]]>
<![CDATA[Distribusi Difference dari S-Box Berbasis Fungsi Balikan Pada GF(28) ]]>
<![CDATA[Andriani Adi Lestari]]>;
<![CDATA[Nunik Yulianingsih]]>
<![CDATA[ Jurnal Matematika Vol 6 No 2 (2016) ]]>
Publisher : <![CDATA[Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University ]]>
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DOI: 10.24843/JMAT.2016.v06.i02.p72
<![CDATA[Substitution-box (s-box) is a basic component of block cipher which performs a substitution. Two powerful cryptanalysis techniques applied to block ciphers are linear cryptanalysis and differential cryptanalysis. The resistance against differential cryptanalysis can be achieved by eliminating high-probability differential trails. We should choose an s-box where the maximum difference propagation probability is as small as possible to eliminating high-probability differential trails. Nyberg proposed a method to construct the s-box by using the inverse mapping on a finite field then implements affine transformations on . In this study, we generate 47.104 s-box according to Nyberg. The experimental results showed that s-boxes have the maximum difference propagation probability with the same frequency.]]>
<![CDATA[Etnomatematika di Balik Kerajinan Anyaman Bali ]]>
<![CDATA[Kadek Rahayu Puspadewi]]>;
<![CDATA[I Gst. Ngurah Nila Putra]]>
<![CDATA[ Jurnal Matematika Vol 4 No 2 (2014) ]]>
Publisher : <![CDATA[Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University ]]>
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DOI: 10.24843/JMAT.2014.v04.i02.p47
<![CDATA[This paper is study about the existence of ethnomathematics on the Bali woven handicraft. Ethnomathematics is mathematics that grow and develop in a particular culture. Unconsciously, the society use tesselation concepts in making woven handicraft. A tessellation is a special type of pattern that consists of geometric figures that fit without gaps or overlaps to cover the plane. The existence of ethnomathematics on woven handicraft can be used as a source of learning and of course can make learners better understand how their cultural relate with mathematics.]]>
<![CDATA[Peramalan Nilai Tukar Petani Kabupaten Lamongan dengan Arima ]]>
<![CDATA[Mohammad Syaiful Pradana]]>;
<![CDATA[Dinita Rahmalia]]>;
<![CDATA[Ericha Dwi Ayu Prahastini]]>
<![CDATA[ Jurnal Matematika Vol 10 No 2 (2020) ]]>
Publisher : <![CDATA[Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University ]]>
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DOI: 10.24843/JMAT.2020.v10.i02.p126
<![CDATA[Agriculture is a sector that has a significant role for the Indonesian economy. In Lamongan Regency, about 35.71 percent of the workers depends on the primary agricultural sector, so it is not surprising that the agricultural sector is the basis of growth, especially in rural areas. Agricultural development is oriented towards improving the welfare of farmers. One of the measurements the level of farmer welfare is by calculating the Farmer Exchange Rate. It is the relationship between the produce sold by farmers and the goods and services purchased by farmers. Seeing how important this Farmer Exchange Rate is, predicting the value of Farmer Exchange Rate in the following year will be very useful. The results of this value can be a benchmark to anticipate all situations in the following years and how to control the rising value of Farmer Exchange Rate so as to improve the welfare of the people of Lamongan. From the results of the analysis and discussion, food plants have a low NTP value, namely ?100 per month for a period of 3 years and have the highest Farmer Exchange Rate reduction in 2019 of 10.25%.]]>
<![CDATA[Analisis Regresi Multilevel dalam Menentukan Variabel Determinan Nilai Ujian Akhir Nasional Siswa ]]>
<![CDATA[Ni Luh Putu Ayu Fitriani]]>;
<![CDATA[I Putu Eka N. Kencana]]>;
<![CDATA[I Wayan Sumarjaya]]>
<![CDATA[ Jurnal Matematika Vol 6 No 1 (2016) ]]>
Publisher : <![CDATA[Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University ]]>
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DOI: 10.24843/JMAT.2016.v06.i01.p64
<![CDATA[Hierarchical data are data where objects are clustered in their groups and for each of groups the variable(s) are set at different levels. It is common to analyze hierarchical data without examining individual’s data membership which affects the accuracy of analysis’ results. Multilevel regression analysis is a method that can be chosen to overcomes issues regarding hierarchical data. This essay is aimed to apply multilevel regression analysis to evaluate score of national examination data from elementary school students at District of South Kuta, Bali. These data were structured so that students are position as first level and are nested within their classes as the second level. Furthermore, each of classes is nested within its respective elementary school as third level data. The application of three-level regression for these data set showed student’s score for national final test was significantly affected by teacher educational level of respective class.]]>
<![CDATA[Kondisi Urutan Natural Pada Semigrup Reguler ]]>
<![CDATA[Widayati .]]>
<![CDATA[ Jurnal Matematika Vol 3 No 1 (2013) ]]>
Publisher : <![CDATA[Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University ]]>
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DOI: 10.24843/JMAT.2013.v03.i01.p32
<![CDATA[Tujuan dari penelitian ini untuk mengetahui kondisi urutan natural pada beberapa konstruksi semigrup reguler serta hubungannya dengan E-unitary dan semigrup murni. Kemurnian dan E-unitary merupakan kejadian khusus dari urutan natural. Terdapat urutan natural yang bukan merupakan urutan parsial. Urutan natural berlaku pada beberapa konstruksi semigrup. Dalam pemetaan terdapat kemurnian yang saling mempengaruhi, dan juga semigrup invers yang saling mempengaruhi.]]>
<![CDATA[Kontrol Optimal Upaya Pengobatan Penyakit Campak Menggunakan Model Endemi SIR ]]>
<![CDATA[Ida Ayu Putu Ari Utari]]>
<![CDATA[ Jurnal Matematika Vol 9 No 2 (2019) ]]>
Publisher : <![CDATA[Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University ]]>
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DOI: 10.24843/JMAT.2019.v09.i02.p115
<![CDATA[Measles is an acute highly contagious disease caused by Paramyxovirus. Measles is considered as a dangerous disease because it cause complications, brain and other organs damage, lifelong disability, paralysis and even death. In the previous studies, it was known that the spread of measles highly dependent on number of infected individuals so it is necessary to control measles through treatment. In this paper, we study about the application of the optimal control theory on the system of differential equations of the SIR endemic model. Determination of the optimal control is obtained through the application of the Pontryagin minimum principle. The main target in this paper is to find a unique optimal control where the optimal control can be described as an efficiency rate of treatment in individuals infected with measles to decrease the number of infected individuals.]]>
<![CDATA[ALGORITMA PENGATURAN KINEMATIKA ROBOT REDUNDANT UNTUK MENGHINDARI TERJADINYA TUMBUKAN BERDASARKAN SKEMA PRIORITAS TUGAS ]]>
<![CDATA[GEDE SANTI ASTAWA]]>;
<![CDATA[G.K. GANDHIADI]]>
<![CDATA[ Jurnal Matematika Vol. 1, No. 1 April 2007 ]]>
Publisher : <![CDATA[Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University ]]>
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DOI: 10.24843/JMAT.2007.v01.i01.p02
<![CDATA[A redundant manipulator has more degree of freedom than minimal needed to do its job. Inthis condition the manipulator can easily do the job, and can say become not optimal. To makethe manipulator more optimal, we try to add some obstacles that must be avoided by themanipulator. in calculation process we use inverse kinematics method in task priority scheme.From the simulation result, it is looked that by adding some jobs do not annoy the main job ofmanipulator, and those prove that the priority of the job can help manipulator do that job moreoptimal.]]>
<![CDATA[Peramalan Crude Palm Oil (CPO) Menggunakan Support Vector Regression Kernel Radial Basis ]]>
<![CDATA[Rezzy Eko Caraka]]>;
<![CDATA[Hasbi Yasin]]>;
<![CDATA[Adi Waridi Basyiruddin]]>
<![CDATA[ Jurnal Matematika Vol 7 No 1 (2017) ]]>
Publisher : <![CDATA[Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University ]]>
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DOI: 10.24843/JMAT.2017.v07.i01.p81
<![CDATA[Recently, instead of selecting a kernel has been proposed which uses SVR, where the weight of each kernel is optimized during training. Along this line of research, many pioneering kernel learning algorithms have been proposed. The use of kernels provides a powerful and principled approach to modeling nonlinear patterns through linear patterns in a feature space. Another bene?t is that the design of kernels and linear methods can be decoupled, which greatly facilitates the modularity of machine learning methods. We perform experiments on real data sets crude palm oil prices for application and better illustration using kernel radial basis. We see that evaluation gives a good to fit prediction and actual also good values showing the validity and accuracy of the realized model based on MAPE and R2. Keywords: Crude Palm Oil; Forecasting; SVR; Radial Basis; Kernel]]>
