Indonesian Journal of Applied Mathematics and Statistics
The main aim of the Indonesian Journal of Applied Mathematics and Statistics (IdJAMS) is to publish refereed, well-written original research articles, and studies that describe the latest research and developments in the area of applied mathematics and statistics. This is a broad-based journal covering all branches of mathematics, statistics and interdisciplinary research. The journal publishes original papers including but not limited to the following fields: Applied Probability, Applied Statistics, Approximation Theory, Combinatorics, Complexity Theory, Computability Theory, Computational, Control Theory, Cryptography, Dynamical Systems, Financial Mathematics, Fuzzy Logic, Game Theory, Graph Theory, Information Theory, Inverse Problems, Linear Programming, Mathematical Biology, Mathematical Chemistry, Mathematical Economics, Mathematical Physics, Mathematical Psychology, Mathematical Sociology, Mathematical Education, Statistical Education, Matrix Computations, Neural Networks, Nonlinear Processes in Physics, Numerical Analysis, Operations Research, Optimal Control, Optimization, Ordinary Differential Equations, Partial Differential Equation, Probability Theory, Statistical Finance, Stochastic Processes, Theoretical Statistics, Risk Models Prediction Models
Articles
20 Documents
ARIMA Modeling for Monthly West Texas Intermediate Crude Oil Price Forecasting
Eka, Hidayat Agus Sofian;
Wiharja, Jason Marvel
Indonesian Journal of Applied Mathematics and Statistics Vol. 1 No. 1 (2024): Indonesian Journal of Applied Mathematics and Statistics (IdJAMS)
Publisher : Lembaga Penelitian dan Pengembangan Matematika dan Statistika Terapan Indonesia, PT Anugrah Teknologi Kecerdasan Buatan PT Anugrah Teknologi Kecerdasan Buatan
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DOI: 10.71385/idjams.v1i1.6
Crude oil is a non-renewable natural resource. It is one of the world's most important natural resources since it has many utilities. One of the best parameters for crude oil price is West Texas Intermediate (WTI). It is the main oil benchmark for North America sourced from the United States. It is important to predict WTI price since the price of crude oil will impact the price of other commodities, which also will impact human life. In this work, the Autoregressive Integrated Moving Average (ARIMA) approach is used to predict WTI price for the next 12 months with the monthly data from April 1, 2019, to April 1, 2023, which was collected from investing.com. The results ARIMA (1,2,1) with the best model for forecasting WTI price with accuracy value from error measurements MSE is 38,129117536, MAPE is 6,8128441%, and RMSE is 6,174882619. This forecasting will be useful as a consideration for various stakeholders and the government.
Trends, Contributions and Prospects: Bibliometric Analysis of ANOVA Research in 2022-2023
Sutrisno, Utis;
Wulandari, Yulia;
Usep;
Arifin, Samsul;
Roni;
Manurung, Monica Mayeni;
Faisal, Muhamad
Indonesian Journal of Applied Mathematics and Statistics Vol. 1 No. 1 (2024): Indonesian Journal of Applied Mathematics and Statistics (IdJAMS)
Publisher : Lembaga Penelitian dan Pengembangan Matematika dan Statistika Terapan Indonesia, PT Anugrah Teknologi Kecerdasan Buatan PT Anugrah Teknologi Kecerdasan Buatan
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DOI: 10.71385/idjams.v1i1.7
This study aims to analyze the development and contribution of research on the topic of ANOVA (Analysis of Variance) using the bibliometric analysis method. ANOVA is a statistical method used to compare the means of three or more groups. Through bibliometric analysis, we explore articles published in journals related to ANOVA within a certain time span, namely 2022-2023. The method of bibliometric analysis involves collecting bibliographic data from relevant sources and analyzing characteristics such as frequency of publication, notable authors, and most frequently cited journals. This study uses a bibliometric analysis method that retrieves 1,911 metadata from Scopus. The results of the bibliometric analysis revealed an increase in the number of publications about ANOVA during the time span studied, namely 2022-2023. These findings indicate that ANOVA remains a relevant and interesting topic for researchers in various disciplines. In addition, there is a wide variety of research topics related to ANOVA, including the use of ANOVA in various contexts, such as laboratory experiments, clinical research, and analysis of survey data. By analyzing the contribution of research on the topic of ANOVA, this study provides valuable insights for us. Moreover, the researcher also discussed prospects for future research on this topic, including the development of new analytical methods and the wider application of ANOVA in various scientific and practical contexts.
Cluster Analysis for the Relationship between Mathematical Communication Ability and Student’s Problem-Solving Ability
Dwitasari, Devi;
Noor, Nik Nur Aimee Widad BT Nik Mohammed
Indonesian Journal of Applied Mathematics and Statistics Vol. 1 No. 1 (2024): Indonesian Journal of Applied Mathematics and Statistics (IdJAMS)
Publisher : Lembaga Penelitian dan Pengembangan Matematika dan Statistika Terapan Indonesia, PT Anugrah Teknologi Kecerdasan Buatan PT Anugrah Teknologi Kecerdasan Buatan
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DOI: 10.71385/idjams.v1i1.10
This study aims to determine how mathematical communication ability with students' problem-solving ability. This research uses a quantitative approach with correlational methods and cluster analysis. The research was conducted at SMPN 1 Rengasdengklok with the population being all class VIII in the 2023/2024 school year. Determination of the sample in this study using purposive sampling technique, where researchers took samples based on the results of consideration to students who had obtained statistical material. Taking the number of samples in this study using the Slovin formula, 83 samples were used in the study. Data collection techniques in this study used mathematical communication ability test instruments and problem-solving skills. This study uses the k-means clustering analysis technique to divide the data into high, medium, and low categories. And analyzed using the Spearman rank correlation test to determine the level of relationship between the entire sample and each cluster. The results of this study show that in cluster 1 30 students have high ability, in cluster 2 as many as 37 students have medium ability, and in cluster 3 as many as 16 students have low ability. The correlation test results for the entire sample have a significant relationship with a contribution of 37.45%. The correlation test results for cluster 1 do not have a significant relationship with a contribution of 7.4%. The correlation test results in cluster 2 have an insignificant relationship with a contribution of 2.2%. The correlation test results in cluster 3 have an insignificant and unidirectional relationship.
Predicting the Spread of COVID-19 in Riau Province Using the Recurrent Neural Network Method
Siringo ringo, Ivan Daniel;
Hanif, Muhammad Abi;
Agustina, Riska;
Sari, Putri;
Fitri, Adilla Anisa;
Fauzi, Rifky
Indonesian Journal of Applied Mathematics and Statistics Vol. 1 No. 1 (2024): Indonesian Journal of Applied Mathematics and Statistics (IdJAMS)
Publisher : Lembaga Penelitian dan Pengembangan Matematika dan Statistika Terapan Indonesia, PT Anugrah Teknologi Kecerdasan Buatan PT Anugrah Teknologi Kecerdasan Buatan
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DOI: 10.71385/idjams.v1i1.11
The COVID-19 pandemic has significantly impacted the world, including Riau Province, Indonesia. Predicting case developments accurately is crucial for controlling the virus's transmission. The purpose of this study is to forecast COVID-19 cases in the province of Riau by employing a Recurrent Neural Network (RNN). Between March 2020 and August 2021, data on daily cases, deaths, and recoveries was collected. After testing the RNN model with a range of look-back values, the ideal values were found to be 20 days for daily cases and 10 days for daily recoveries and deaths. The model's ability to precisely capture the trend of real data was demonstrated by how closely it matched. Strong predictive performance was indicated by the resulting RMSE values, which were 435.31 for daily cases, 13.61 for daily deaths, and 331.95 for daily recoveries.
Multiple Exponential Regression Modeling of Dengue Haemorrhagic Fever Factors in West Java Province, Indonesia
Ridhatusalma, Ghina;
Diandra, Salsabila Putri;
Rahma, Hasna Nabilah;
Pangastuti, Sinta Septi;
Roslan, Nurul Farisah Binti
Indonesian Journal of Applied Mathematics and Statistics Vol. 1 No. 1 (2024): Indonesian Journal of Applied Mathematics and Statistics (IdJAMS)
Publisher : Lembaga Penelitian dan Pengembangan Matematika dan Statistika Terapan Indonesia, PT Anugrah Teknologi Kecerdasan Buatan PT Anugrah Teknologi Kecerdasan Buatan
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DOI: 10.71385/idjams.v1i1.12
Dengue Haemorrhagic Fever is a major public health problem in Indonesia, with 103,509 cases of Dengue Haemorrhagic Fever recorded in Indonesia until the end year of 2020 with 725 deaths with the case fatality rate of 0.70%, and an incidence rate of 38.15 per 100,000 population. The aim of this research is to determine the multiple exponential regression model for the number of Dengue Haemorrhagic Fever cases and its factors in the West Java Province, Indonesia, at the time period of 2020. This research uses secondary data sourced from Open Data Jabar and Badan Pusat Statistik in the form of the number of the Dengue Haemorrhagic Fever cases in each regency or city throughout the West Java, with the independent variables; the number of poverty rate, the number of healthcare workforces, population density, and number of households with adequate sanitation. The final model from the multiple exponential regression shows that population density has a significant effect on the number of Dengue Haemorrhagic Fever cases in the West Java Province.
Modelling Claim Frequency with Spatial Effects for Accurate Insurance Premium Cost Calculations
Ibrahim, Didymus;
Mongare, Jared
Indonesian Journal of Applied Mathematics and Statistics Vol. 1 No. 2 (2024): Indonesian Journal of Applied Mathematics and Statistics (IdJAMS)
Publisher : Lembaga Penelitian dan Pengembangan Matematika dan Statistika Terapan Indonesia, PT Anugrah Teknologi Kecerdasan Buatan PT Anugrah Teknologi Kecerdasan Buatan
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DOI: 10.71385/idjams.v1i2.13
This paper challenges the traditional assumption of independence between claim counts and amounts in non-life insurance. It explores the effectiveness of Generalized Linear Models (GLMs) in analyzing claim frequency data, a key component of accurate premium pricing. The proposed approach utilizes GLMs for both the marginal frequency and conditional severity of claims. Dependence between these factors is introduced by incorporating the number of claims as a covariate in the severity model. This strategy offers ease of implementation and interpretability, particularly when combined with Poisson counts and a log-link function. The resulting pure premium calculation considers the marginal mean frequency, a modified severity, and a dependence correction term. The paper further establishes the importance of spatial factors in claim frequency modelling for insurance businesses. It proposes a novel GLMM with a CAR (Conditional Autoregressive) model to account for these spatial effects. The impact of spatial factors on pure premium calculations is evaluated using simulated claim data.
Forecasting Stock Price of PT. GoTo Gojek Tokopedia Tbk (GOTO.JK) using ARIMA Box-Jenkins Method
Saputra, Julian
Indonesian Journal of Applied Mathematics and Statistics Vol. 1 No. 2 (2024): Indonesian Journal of Applied Mathematics and Statistics (IdJAMS)
Publisher : Lembaga Penelitian dan Pengembangan Matematika dan Statistika Terapan Indonesia, PT Anugrah Teknologi Kecerdasan Buatan PT Anugrah Teknologi Kecerdasan Buatan
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DOI: 10.71385/idjams.v1i2.14
PT. GoTo Gojek Tokopedia Tbk, formed through the merger of Indonesian tech giants Gojek and Tokopedia, is a leading digital technology company. It offers diverse services including logistics, financial services, e-commerce, and food delivery. Operating both domestically and internationally, it continues to innovate its products and services, playing a pivotal role in shaping the digital economy landscape in Indonesia and beyond. Will use ARIMA (p,d,q) technical analysis to predict the stock price of The forecasting of stock price of PT. GoTo Gojek Tokopedia Tbk for the next 10 weeks from March 06, 2023 to May 8, 2023. The researchers used PT. GoTo Gojek Tokopedia Tbk historical stock price data from April 11, 2022 to February 27, 2023. Based on the test result of all the ARIMA Models, the best model that the researcher got is Model 3 ARIMA (2,1,2). This model is taken as the best model because the model has the smallest MSE Value of 106.36830; the RMSE Value of 0.07845252; the MAE value of 8.07106; and the smallest MAPE Value of 7.84525%. It shows that that the stock price is predicted to rise for the next 10 weeks.
A Study on Strategic Approaches to Team NIM Games Using Number Theory
Faza, Novan Ramadhani Nur;
Kurniadi, Edi;
Sylviani, Sisilia
Indonesian Journal of Applied Mathematics and Statistics Vol. 1 No. 2 (2024): Indonesian Journal of Applied Mathematics and Statistics (IdJAMS)
Publisher : Lembaga Penelitian dan Pengembangan Matematika dan Statistika Terapan Indonesia, PT Anugrah Teknologi Kecerdasan Buatan PT Anugrah Teknologi Kecerdasan Buatan
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DOI: 10.71385/idjams.v1i2.16
Many games are related to Maths, such as bridge card games, dominoes, chess, NIM, and many others. For example, the NIM game is a strategy game played by two players or two teams in which each player or team takes turns taking at least one object with certain rules. Winning the game depends on how many objects are available and who plays first. In this article, we will present the NIM Maxima game. In this NIM game, the concept of Mathematics that will be used is number theory to determine a strategy to win the game.
Exploring the Impact of Socioeconomic Factors on Stress Levels Using Clustering in Southeast Asia during the COVID-19 Pandemic
Rahmat, Shafa Khadijah;
Sabila, Fatsa Vidyaningtyas
Indonesian Journal of Applied Mathematics and Statistics Vol. 1 No. 2 (2024): Indonesian Journal of Applied Mathematics and Statistics (IdJAMS)
Publisher : Lembaga Penelitian dan Pengembangan Matematika dan Statistika Terapan Indonesia, PT Anugrah Teknologi Kecerdasan Buatan PT Anugrah Teknologi Kecerdasan Buatan
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DOI: 10.71385/idjams.v1i2.17
This paper explores the impact of socioeconomic factors on stress levels across Southeast Asia during the COVID-19 pandemic. Data from the COVIDiSTRESS Global Survey were analyzed using regression analysis to identify key determinants along with clustering techniques, such as DBSCAN to group similar behavioral responses. Variables such as income, employment status, education level, and healthcare access were considered. The findings reveal significant disparities in stress levels related to socioeconomic conditions. For instance, countries with lower socioeconomic indicators, such as Vietnam and the Philippines, show high perceived stress levels (58,9% and 76,2% respectively). Conversely, countries with higher socioeconomic stability, like Brunei, exhibit moderate stress levels at 60%. These results underscore the importance of addressing socioeconomic inequalities to mitigate stress and enhance mental resilience across Southeast Asia.
Exploring Algebraic Properties and the Applications of Chinese Remainder Theorem
Maharani, Saskia Putri;
Kurniadi, Edi;
Sylviani, Sisilia
Indonesian Journal of Applied Mathematics and Statistics Vol. 1 No. 2 (2024): Indonesian Journal of Applied Mathematics and Statistics (IdJAMS)
Publisher : Lembaga Penelitian dan Pengembangan Matematika dan Statistika Terapan Indonesia, PT Anugrah Teknologi Kecerdasan Buatan PT Anugrah Teknologi Kecerdasan Buatan
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DOI: 10.71385/idjams.v1i2.19
This research aims to identify the algebraic properties of the Chinese Remainder Theorem or CRT. Chinese Remainder Theorem is an ancient mathematical theorem that allows the solution of a system of simultaneous equations with different modules and allows the reconstruction of integers within a certain range of remainders modulo to relatively prime modulo. The method used in this research is literature study. This theorem allows for efficient processing and manipulation of integers with very large sizes. The proof of the theorems in Chinese Remainder Theorem is also presented in this research.