Majalah Ilmiah Matematika dan Statistika (MIMS)
The aim of this publication is to disseminate the conceptual thoughts or ideas and research results that have been achieved in the area of mathematics and statistics. MIMS, focuses on the development areas sciences of mathematics and statistics as follows: 1. Algebra and Geometry; 2. Analysis and Modelling; 3. Graph Theory and Combinatorics; 4. Computer Science and Big Data; 5. Application of Mathematics and Statistics.
Articles
100 Documents
<![CDATA[ANALISIS DISKRIMINAN UNTUK VALIDASI CLUSTER PADA STUDI KASUS PENGELOMPOKAN KECAMATAN DI KABUPATEN JEMBER BERDASARKAN STATUS KEMISKINAN ]]>
<![CDATA[Istiqomah, Fikriana Nur]]>;
<![CDATA[Tirta, I Made]]>;
<![CDATA[Anggraeni, Dian]]>
<![CDATA[ Majalah Ilmiah Matematika dan Statistika Vol 18 No 1 (2018): Majalah Ilmiah Matematika dan Statistika ]]>
Publisher : <![CDATA[Jurusan Matematika FMIPA Universitas Jember ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.19184/mims.v18i1.17239
<![CDATA[. Cluster validation is a procedure to evaluate the results of cluster analysis quantitatively and objectively on a data. The validation process is very important to get the results of a good and appropriate grouping. In the validation process, the author uses internal validation, stability, and discriminant analysis test. This study aims to obtain validation results from the hierarchy and kmeans method. This data grouping uses “iris” simulation data, which results from the grouping method used can be applied to the original data to see which validation method is used for all data and produce an optimal grouping. The result of the study show that in the “iris” data, a single linkage link is an appropriate grouping method because the result of the grouping are optimal for all validations and classification of group members whose groups are significant. In Sub-district poverty data in Jember district with a single linkage link optimal grouping was obtained and complete linkage links were also used as a method that resulted in optimal grouping for all validation. Cluster validation using discriminant analysis test is appropriate for various types of data in general and shows that single linkage methods are better than other methods for grouping and validation methods for “iris” data and Sub-district data in Jember district based on variables of poverty status. Keywords: Cluster Analysis, Diskriminant Analysis, Multivariate Analysis, Validation Cluster]]>
<![CDATA[PEMODELAN FAILURE TIME PADA MAHASISWA BERHENTI STUDI DI UNIVERSITAS JEMBER ]]>
<![CDATA[Hanifia, Fidiatma Foristy]]>;
<![CDATA[Fatekurohman, M.]]>;
<![CDATA[Anggraeni, Dian]]>
<![CDATA[ Majalah Ilmiah Matematika dan Statistika Vol 20 No 1 (2020): Majalah Ilmiah Matematika dan Statistika ]]>
Publisher : <![CDATA[Jurusan Matematika FMIPA Universitas Jember ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.19184/mims.v20i1.17218
<![CDATA[Problems in higher education concerning students are always interesting objects studied from any side. One of the problems faced by universities and students is stopping study. Stopping the study of students became a problem in universities, including the University of Jember. One of the statistical methods used is Survival Analysis. In its development, survival analysis was carried out by combining the concepts of Geometric regression. Geometric is one of the non linear regression for discrete data. Geometric regression modeling cannot be done with ordinary linear modeling, but must be done using the Generalized Linear Model (GLMs) method. In this study the variables used were gender, GPA, faculty, age of entry and entry point. The results of the study students stopped studying in the first semester 140 students. Average GPA of 1.54. 62.85% male sex. Student faculty of education and teacher stopped most studies. The student entry pathway stopped the most SBMPTBR studies and 54.40% were 18 years old. Significant influential factors for stopping the study were GPA, gender and entry point. From the Geometric opportunity, it was found that female students were slower when they stopped studying than men. The faculty stops studying at the latest is the Faculty of Medicine. Keywords: Drop Out, Failure Time, Regrition Geometric Method]]>
<![CDATA[ANALISIS STRUCTURAL EQUATION MODELING (SEM) DENGAN MULTIPLE GROUP MENGGUNAKAN R ]]>
<![CDATA[Holipah, Holipah]]>;
<![CDATA[Tirta, I Made]]>;
<![CDATA[Anggraeni, Dian]]>
<![CDATA[ Majalah Ilmiah Matematika dan Statistika Vol 19 No 2 (2019): Majalah Ilmiah Matematika dan Statistika ]]>
Publisher : <![CDATA[Jurusan Matematika FMIPA Universitas Jember ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.19184/mims.v19i2.17272
<![CDATA[Structural Equation Model (SEM) is a statistical technique with simultaneous processing involves measurement errors, indicator variables, and latent variables. SEM is used to test hypotheses that state the relationships between latent variables when latent variables have been assessed through each of the indicator variables. Multiple Group SEM is a basic model analysis that uses more than one sample. This analysis aims to determine whether the components or models of measurement and structural models are invariant for the two sample groups. In this study, the data generated by some requirements. First, the data generated with sample size n = 250. The first generated data is homogeneous data where the measurement model is the same as the structural model in group 1 and group 2, while the second data is non-homogeneous data where the measurement model and the structural model in group 1 and group 2 is not the same. The data was analyzed using the help of the lavaan package available in R to obtain SEM estimation results and Goodness of Fit Model from some data that was formed. From the results of the merger of the two groups, it shows that the invariant of the two models with the largest df (63) which is Fit Mean model states the simplest model. However, the smallest df (48) with Fit.configural model states the most complex model. Keywords: SEM, Multiple Group, R Program]]>
<![CDATA[PENYANDIAN CITRA MENGGUNAKAN ALGORITMA 4D PLAYFAIR CIPHER DENGAN PEMBANGKITAN KUNCI MODIFIKASI LINEAR FEEDBACK SHIFT REGISTER ]]>
<![CDATA[Rahayu, Rivi Tri]]>;
<![CDATA[Riski, Abduh]]>;
<![CDATA[Kamsyakawuni, Ahmad]]>
<![CDATA[ Majalah Ilmiah Matematika dan Statistika Vol 19 No 1 (2019): Majalah Ilmiah Matematika dan Statistika ]]>
Publisher : <![CDATA[Jurusan Matematika FMIPA Universitas Jember ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.19184/mims.v19i1.17261
<![CDATA[The fast development of sophisticated technology make it easier for someone to send a message to other but can also make it easier for third parties to sabotage the content of the message, so a technique called cryptography is needed to secure the message. Image encoding is one of the techniques for securing messages in cryptography. In enhancing security in image encoding, this study discusses about Playfair Cipher, 3D Playfair Cipher and 4D Playfair Cipher with key generation using LFSR Modification. The encryption process using 4D Playfair Cipher with key generation using LFSR Modification visually produces cipher image that is different from the original image compared to using Playfair Cipher and 3D Playfair Cipher. In the decryption process using Playfair Cipher, 3D Playfair Cipher and 4D Playfair Cipher-Modification LFSR can return cipher image to its original image. The result of the study shows that the proposed method can be used to secure the message. Keywords: Playfair Cipher, 3D Playfair Cipher, 4D Playfair Cipher, LFSR]]>
<![CDATA[ANALISIS REGRESI DATA PANEL TERHADAP INDEKS PEMBANGUNAN MANUSIA (IPM) JAWA TIMUR TAHUN 2006-2015 ]]>
<![CDATA[Hidayat, Muhammad Jamil]]>;
<![CDATA[Hadi, Alfian Futuhul]]>;
<![CDATA[Anggraeni, Dian]]>
<![CDATA[ Majalah Ilmiah Matematika dan Statistika Vol 18 No 2 (2018): Majalah Ilmiah Matematika dan Statistika ]]>
Publisher : <![CDATA[Jurusan Matematika FMIPA Universitas Jember ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.19184/mims.v18i2.17250
<![CDATA[Panel data is a combination of time series and cross section data. Panel data regression is used because in a time there is time researchers can’t perform analysis only by using time series data and cross section data only. This is because the number of factors used in the analysis phase, so that if the researcher only uses cross section data then the researcher can’t see the influence of factors that affect as well as on the growth of HDI that occurs from time to time in a certain period. Whereas it is quite possible that the conditions between one year and another will be different. Based on the model estimation, it is used with fixed effect model (FEM) approach. Modeling HDI with FEM in 2006-2015 period resulted in R2 value of 94.23%. The results showed that from 2006-2015 the ratio of student-teacher (RST), health facilities (HF), percentage of expenditure per capita by group of food (PPF) and regional per capita expenditure (PPE) have significant effect to HDI. Keywords: HDI, Panel, Fixed Effect Model]]>
<![CDATA[PERBANDINGAN MODEL ACCELERATED FAILURE TIME DAN MODEL COX PROPORTIONAL HAZARD PADA KASUS KARDIOVASKULAR ]]>
<![CDATA[Fatmala, Siti Febriana]]>;
<![CDATA[Fatekurohman, Mohamat]]>;
<![CDATA[Hadi, Alfian Futuhul]]>
<![CDATA[ Majalah Ilmiah Matematika dan Statistika Vol 18 No 1 (2018): Majalah Ilmiah Matematika dan Statistika ]]>
Publisher : <![CDATA[Jurusan Matematika FMIPA Universitas Jember ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.19184/mims.v18i1.17244
<![CDATA[Cardiovascular disease is a disease that attacks the heart and blood vessels. Many types of cardiovascular diseases, but the most famous are coronary heart disease and stroke. Coronary heart disease is a disease that is the first cause of death that occurs in the world caused by risk factors and the length of time of survival of coronary heart disease patients, then using survival analysis with the Cox Proportional Hazard model and Accelerated Failure Time model. Comparison between Cox Proportional Hazard model and Accelerated Failure Time model expedited time can be determined by the survival time with a safe function, the hazard function and density function (comparison of income) of each questioned duration of time with the help of different AIC policies and the rate of deterioration. Estimation of the survival time of this cardiovascular case is determined from the Cox Proportional Hazard’s hazard ratio model and the Accelerated Failure Time’s time ratio model. The results showed that the Accelerated Failure Time model was better than the Cox Proportional Hazard model because the rate of deterioration and the AIC value was smaller than the other models and related to risk factors, namely the age and status of diabetes mellitus and the length of survival of the patient for 11 days obtained from the estimation of the survival time distribution between the Cox Proportional Hazard model and the Accelerated Failure Time model. Keywords: Coronary heart disease, survival analysis, Cox Proportional Hazard, Accelerated Failure Time]]>
<![CDATA[PENYELESAIAN MODIFIKASI MODEL PREDATOR PREY LESLIE-GOWER DENGAN SEBAGIAN PREY TERINFEKSI MENGGUNAKAN ADAMS BASHFORTH MOULTON ORDE EMPAT ]]>
<![CDATA[Arianti, Liatri]]>;
<![CDATA[Hidayat, Rusli]]>;
<![CDATA[Purnomo, Kosala Dwija]]>
<![CDATA[ Majalah Ilmiah Matematika dan Statistika Vol 19 No 2 (2019): Majalah Ilmiah Matematika dan Statistika ]]>
Publisher : <![CDATA[Jurusan Matematika FMIPA Universitas Jember ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.19184/mims.v19i2.17268
<![CDATA[Eco-epidemiology is a science that studies the spread of infectious diseases in a population in an ecosystem where two or more species interact like a predator prey. In this paper discusses about how to solve modification Leslie Gower of predator prey models (with Holling II response function) with some prey infected using fourth order Adams Bashforth Moulton method. This paper used a simple disease-spreading model that is Susceptible-Infected (SI). The model is divided into three populations: the sound prey (which is susceptible), the infected prey and predator population. Keywords: Adams Basforth Moulton, Eco-epidemiology Holling Tipe II, Local stability, Leslie-Gower, Predator-Prey model]]>
<![CDATA[VIGENERE CIPHER DENGAN MODIFIKASI PLAINTEXT ]]>
<![CDATA[Gusti, Dwi Rahmasari Kinasih]]>;
<![CDATA[Santoso, Kiswara Agung]]>;
<![CDATA[Kamsyakawuni, Ahmad]]>
<![CDATA[ Majalah Ilmiah Matematika dan Statistika Vol 20 No 1 (2020): Majalah Ilmiah Matematika dan Statistika ]]>
Publisher : <![CDATA[Jurusan Matematika FMIPA Universitas Jember ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.19184/mims.v20i1.17219
<![CDATA[Cryptography is knowledge of encoding messages by observe to security aspects. Cryptography uses two types of keys, namely symmetric keys and asymmetric keys. Vigenere cipher is a technique to encrypt messages by symmetric key. Vigenere cipher can be combined by several patterns and ASCII code. The pattern used can vary as long as the text can be returned to original message (can be decrypted). On this paper, we will modified plaintext before encrypt using vigenere cipher. The way to modified the plaintext are flip and shift rows of bit. The effect of the algorithm changes can be seen based on the renewal value obtained. If the correlation value gets smaller, it means the algorithm is better. The results of this study is the correlation value using vigenere cipher with modified plaintext is better compared to vigenere cipher with original plaintext. Keywords: ASCII, Patterned, Bits, Vigenere Cipher]]>
<![CDATA[PERBANDINGAN ALGORITMA PARTICLE SWARM OPTIMIZATION (PSO) DAN ALGORITMA GLOWWORM SWARM OPTIMIZATION (GSO) DALAM PENYELESAIAN SISTEM PERSAMAAN NON LINIER ]]>
<![CDATA[Azmi, Ana Ulul]]>;
<![CDATA[Hidayat, Rusli]]>;
<![CDATA[Arif, M Ziaul]]>
<![CDATA[ Majalah Ilmiah Matematika dan Statistika Vol 19 No 1 (2019): Majalah Ilmiah Matematika dan Statistika ]]>
Publisher : <![CDATA[Jurusan Matematika FMIPA Universitas Jember ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.19184/mims.v19i1.17263
<![CDATA[Non-linear equation system is one of the mathematics problems which difficult to solve. Several methods have been introduced to solve the problems. Newton-Raphson method is the most common and widely used as the basis for evolving the latest numerical methods. However, this method requires the derivative of each equation with respect to every variable when calculating the Jacobian. Naturally, obtaining the derivative is challenging in certain cases. In addition, it needs a proper initial value to obtain the converged solution. Therefore, the new technique with a simple random initial value is urgently needed. In this study, it is shown the implementation of the two metaheuristic optimization methods, including Particle Swarm Optimization (PSO) and the Glowworm Swarm Optimization (GSO) to estimate the solution of a non-linear equation system. Several examples of nonlinear equation system were used for evaluating and testing the performance and the accuracy of both algorithms. In this simulation, the results show that PSO converged to the exact solution (global optimum) better than Glowworm Swarm Optimization (GSO). Keywords: Non-Linear Equation Systems, Particle Swarm Optimization (PSO), Glowworm Swarm Optimization (GSO)]]>
<![CDATA[PERBAIKAN CITRA INFRA MERAH DENGAN METODE CELLULAR AUTOMATA ]]>
<![CDATA[Hidayah, Annisa Yuniar]]>;
<![CDATA[Riski, Abduh]]>;
<![CDATA[Kamsyakawuni, Ahmad]]>
<![CDATA[ Majalah Ilmiah Matematika dan Statistika Vol 18 No 2 (2018): Majalah Ilmiah Matematika dan Statistika ]]>
Publisher : <![CDATA[Jurusan Matematika FMIPA Universitas Jember ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.19184/mims.v18i2.17249
<![CDATA[Image enhancement is needed because not all images have good quality, such as noise, too low contrast or blurry image. These problems are commonly found in images generated from infrared cameras, therefore this study uses infrared imagery as an image to be corrected. The method that will be used to improve the image, namely Cellular Automata method. The edge detection using the Prewitt operator will be used as the initial state of Cellular Automata cells. The results obtained from this research is Cellular Automata method can improve the quality of infrared image well. Visually, the Cellular Automata method successfully improves image contrast and retains the infrared image detail so as not to reduce the value of information from the image. Calculated using the Linear Index of Fuzziness, the results of the Cellular Automata method are better only on some imagery only when compared to the Histogram Equalization mode. Keywords: Infrared Image, Image Enhancement, Cellular Automata]]>
