CAUCHY: Jurnal Matematika Murni dan Aplikasi最新文献

Estimating Missing Panel Data with Regression and Multivariate Imputation by Chained Equations (MICE) 利用回归和多变量链式等式估算缺失面板数据 (MICE)

CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2024-05-16 DOI: 10.18860/ca.v9i1.24824

Budi Susetyo, Anwar Fitrianto

{"title":"Estimating Missing Panel Data with Regression and Multivariate Imputation by Chained Equations (MICE)","authors":"Budi Susetyo, Anwar Fitrianto","doi":"10.18860/ca.v9i1.24824","DOIUrl":"https://doi.org/10.18860/ca.v9i1.24824","url":null,"abstract":"Missing data may occur in various types of research. Regression and multiple imputation by chained equations (MICE) are two methods that can be used to estimate missing data in panel data types. This study aims to compare the accuracy of the missing panel data estimation using the regression and the MICE methods. The data used in this study are 161 random samples of senior high schools and vocational schools in DKI province for the year 2016-2020. Based on the results of the Chow test, Hausman test, and Lagrange Multiplier test on panel data regression, it shows that the appropriate model for the student-teacher ratio (X5) is random, the percentage of teachers who have an educator certificate (X6) is a fixed model with the specific effect of individual school and time, while the percentage of teachers who hold a bachelor degree (X7) is a fixed model with the specific effect of individual. Based on this model, the estimation of missing data is then carried out. The accuracy of the missing data estimation was carried out by comparing the MAPE, MAE, and RMSE values. The results show that the MICE method is quite good for estimating missing data at X5, quite feasible for estimating X6, and very good for estimating missing data at X7. In general, MICE is more accurate than panel data regression","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"26 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140967663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Order Ideals on Lexicographic Direct Sum of Three Totally Ordered Abelian Groups 三个完全有序无秩群的词典直和上的有序顶点

CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2024-05-16 DOI: 10.18860/ca.v9i1.24116

S. M. Gozali, Dian Latifah, Rizky Rosjanuardi, I. Albania

引用次数: 0

The Boundedness of Generalized Fractional Integral Operators on Small Morrey Spaces 小莫雷空间上广义分式积分算子的有界性

CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2024-05-16 DOI: 10.18860/ca.v9i1.24309

Rizky Aziz Syaifudin, Corina Karim, M. Marjono, Hairur Rahman

引用次数: 0

SEIR Mathematical Model with the Use of Hand Sanitizers to Prevent the Spread of Covid-19 Disease 使用手部消毒剂预防 Covid-19 疾病传播的 SEIR 数学模型

CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2024-05-16 DOI: 10.18860/ca.v9i1.25754

Muhamad Ali Misri, Khelan H. Qadr, Muhammad Avif Rahmatullah

{"title":"SEIR Mathematical Model with the Use of Hand Sanitizers to Prevent the Spread of Covid-19 Disease","authors":"Muhamad Ali Misri, Khelan H. Qadr, Muhammad Avif Rahmatullah","doi":"10.18860/ca.v9i1.25754","DOIUrl":"https://doi.org/10.18860/ca.v9i1.25754","url":null,"abstract":"The SARS-CoV-2 coronavirus can spread through contact with contaminated surfaces. The use of hand sanitizer is claimed to reduce the risk of transmission. For this reason, this study aims to develop a model of the spread of COVID-19 using the SEIR model with the use of hand sanitizer for infected individuals. The individual population is divided into six compartments, namely two compartments for susceptible individuals who using hand sanitizer and not, one compartment for exposed individuals, two compartments for infected individuals who using hand sanitizer and not, and one compartment for individuals died and recovered. The results obtained two equilibrium points: the disease-free and endemic equilibrium point, and also the basic reproduction number. The existence of a disease-free equilibrium point is unconditional, while the endemic there exist when the basic reproduction number is more than one. Stability analysis of the disease-free equilibrium point is locally asymptotic stable when the basic reproduction number is less than one. Numerical simulations carried out also strengthen them. Finally, the results of basic reproduction number sensitivity analysis show that the basic reproduction number is strongly influenced by contact of the susceptible individuals with exposed and infected individuals, neglecting of hand sanitizer use, mortality and cure rates.","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"27 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140966665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

LQR and Fuzzy-PID Control Design on Double Inverted Pendulum 双倒摆的 LQR 和模糊 PID 控制设计

CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2024-05-16 DOI: 10.18860/ca.v9i1.22070

Erlyana Trie Damayanti

引用次数: 0

KFCM-PSOTD : An Imputation Technique for Missing Values in Incomplete Data Classification KFCM-PSOTD：不完整数据分类中缺失值的估算技术

CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2024-05-16 DOI: 10.18860/ca.v9i1.25138

Muhaimin Ilyas, Syaiful Anam, Trisilowati Trisilowati

{"title":"KFCM-PSOTD : An Imputation Technique for Missing Values in Incomplete Data Classification","authors":"Muhaimin Ilyas, Syaiful Anam, Trisilowati Trisilowati","doi":"10.18860/ca.v9i1.25138","DOIUrl":"https://doi.org/10.18860/ca.v9i1.25138","url":null,"abstract":"Data mining is a very important process for finding out the data interpretation. Data preprocessing is the crucial data mining steps. The existence of missing values in the data is one of the primary issues with data preprocessing. Generally, this can be overcome with mean or median imputation because they are easy to implement. However, the use of these techniques is not recommended because they ignore the data variance. This research develops the Kernel Fuzzy C-Means Optimized by the Particle Swarm Optimizer with Two Differential Mutations (KFCM-PSOTD). KFCM imputation is applied to obtain better estimation values due to its proven ability to recognize patterns in the data. In addition, the PSOTD algorithm is used as an optimization tool to boost the KFCM's performance. PSOTD is adopted because it has more balanced exploration and exploitation capabilities compared to classical PSO. Datasets that have been imputed on KFCM-PSOTD are classified using the Decision Tree algorithm. The results are evaluated using accuracy, precision, recall, and f1 score to determine the quality of the imputed values. The outcomes demonstrate that the KFCM-PSOTD algorithm has a better performance; even the difference in evaluation scores obtained reaches 10% better than other imputation techniques. ","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"9 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140968825","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Spatial Weight Matrix Comparison of SAR-X Model using Casetti Approach 使用卡塞蒂方法比较 SAR-X 模型的空间权重矩阵

CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2024-05-16 DOI: 10.18860/ca.v9i1.25579

Almeira Tsanawafa, D. A. Kusuma, B. N. Ruchjana

{"title":"Spatial Weight Matrix Comparison of SAR-X Model using Casetti Approach","authors":"Almeira Tsanawafa, D. A. Kusuma, B. N. Ruchjana","doi":"10.18860/ca.v9i1.25579","DOIUrl":"https://doi.org/10.18860/ca.v9i1.25579","url":null,"abstract":"The Spatial Autoregressive Exogenous (SAR-X) model with the Casetti approach is used to describe the influence of location and exogenous variables in the description and prediction of spatial observations, namely, people's habits and behavior towards culture in Java Island. The SAR-X model with the Casetti approach is characterized by a spatial weight matrix that describes the coordinates of the region at each location. The spatial weight matrix is determined outside the model. This study examines the spatial weight matrix determined based on rook contiguity, bishop contiguity, queen contiguity, inverse distance and inverse distance squared, and compares the application of the spatial weight matrix to the SAR-X model with the Casetti approach for the description and prediction of people's habits and behavior towards culture in Java Island. The description and prediction results obtained are measured using the Root Mean Square Error (RMSE) value. The results of data processing show that the best spatial weight matrix in the SAR-X model with the Casetti approach to community habits and behavior in Java Island is the inverse distance squared spatial weight matrix, supported by the calculation of the minimum RMSE value and the coefficient of determination above 60%.","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"6 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140967068","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Multipolar Intuitionistic Fuzzy Positive Implicative Ideal in B-Algebras B代数中的多极直觉模糊正隐含理想

CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2024-05-16 DOI: 10.18860/ca.v9i1.23164

Royyan Amigo, Noor Hidayat, Vira Hari Krisnawati

引用次数: 0

Inclusive Local Irregularity Vertex Coloring In Grid Graph Family 网格图族中的包容性局部不规则顶点着色

CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2024-05-16 DOI: 10.18860/ca.v9i1.20947

A. I. Kristiana, Alvian Bagus Agatha, Saddam Hussen, Rafiantika Megahnia Prihandini, Dian Kurniati, R. Alfarisi

引用次数: 0

Comparison between Statistical Approaches and Data Mining Algorithms for Outlier Detection 用于离群点检测的统计方法与数据挖掘算法的比较

CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2024-05-16 DOI: 10.18860/ca.v9i1.25450

Annisa Putri Utami, Anwar Fitrianto, K. Notodiputro

{"title":"Comparison between Statistical Approaches and Data Mining Algorithms for Outlier Detection","authors":"Annisa Putri Utami, Anwar Fitrianto, K. Notodiputro","doi":"10.18860/ca.v9i1.25450","DOIUrl":"https://doi.org/10.18860/ca.v9i1.25450","url":null,"abstract":"Outliers are observation values that are very different from most observations. The presence of outliers in data can have a negative impact on research but can contain important information for other research. So, identifying outliers before conducting data analysis is a crucial thing to do. Outlier detection methods/techniques were first pioneered by researchers in statistics. However, due to rapid technological advances which have an impact on the ease of collecting extensive data, the development of outlier detection techniques is now handled mainly by researchers in the field of computer science (data mining) using computing facilities. This research aims to examine the results of simulation studies by comparing methods for identifying several outliers using statistical approaches and data mining algorithm approaches in various predetermined data scenarios. Based on the scenario carried out, the outlier detection method using a statistical approach is generally better than the outlier detection method using a data mining-based approach. Suggestions for further research are to improve the data mining method by focusing more on statistical analysis apart from focusing on data processing computing time so that the expected results of outlier detection are faster and more precise.","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"5 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140970284","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0