Jurnal Matematika, Statistika dan Komputasi

Journal Information
EISSN : 2614-8811
Published by: Hasanuddin University, Faculty of Law (10.20956)
Total articles ≅ 163
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Erna Nurmawati, Robby Hasan Pangaribuan, Ibnu Santoso
Jurnal Matematika, Statistika dan Komputasi, Volume 18, pp 22-30; https://doi.org/10.20956/j.v18i1.14003

Abstract:
One way to deal with the presence of missing value or incomplete data is to impute the data using EM Algorithm. The need for large and fast data processing is necessary to implement parallel computing on EM algorithm serial program. In the parallel program architecture of EM Algorithm in this study, the controller is only related to the EM module whereas the EM module itself uses matrix and vector modules intensively. Parallelization is done by using OpenMP in EM modules which results in faster compute time on parallel programs than serial programs. Parallel computing with a thread of 4 (four) increases speed up, reduces compute time, and reduces efficiency when compared to parallel computing by the number of threads 2 (two).
Andi Utari Samsir, Syamsuddin Toaha, Kasbawati Kasbawati
Jurnal Matematika, Statistika dan Komputasi, Volume 18, pp 42-54; https://doi.org/10.20956/j.v18i1.13974

Abstract:
This article discusses the optimal control of a mathematical model on smoking. This model consists of six population classes, namely potential to become smoker snuffing class irregular smokers regular smokers temporary quitters and permanent quitters The completion of this research uses the Pontryagin minimum principle and numerically using the forward-backward Sweep method. Numerical simulations of the optimal problem show that with the implementation of education campaigns and anti-nicotine medicine, the smokers can be decreased more quickly and the smoking population who quit permanently can be increased. The implementation of both through large amounts needs to be done from the beginning. The use of control in the form of education campaigns is of great value until the end of the research period means that it needs to be done continuously to reduce the number of smokers in the population.
Salsavira Salsavira, Jahra Afifah, Fiqih Tri Mahendra, Lathifah Dzakiyah
Jurnal Matematika, Statistika dan Komputasi, Volume 18, pp 31-41; https://doi.org/10.20956/j.v18i1.13975

Abstract:
Early marriage has become an important issue in Indonesia. Even though the rate of early marriage shows a decline until 2020, the number still makes Indonesia become the country with the second highest early marriage in Southeast Asia. Early marriage that occurs can hinder the achievement of the Sustainable Development Goals (SDG) and can have an impact on the Human Development Index. The existence of a relationship between early marriage and HDI encourages researchers to conduct studies that aimed at examining the effect of the prevalence of early marriage on HDI in each district/city in Indonesia on 2020. This study uses the Geographically Weighted Logistic Regression (GWLR) analysis method with the data sourced from the National Socio-Economic Survey (SUSENAS) raw data in March 2020 and publication data on the website of The Central Bureau of Statistics. The results of the analysis found that the prevalence of early marriage has a negative and significant effect in several districts/cities in the Provinces of Aceh, North Sumatra, West Sumatra, Riau, Jambi, South Sumatra, Bengkulu, Lampung, Bangka Belitung Islands, Riau Islands, West Java, Central Sulawesi, South Sulawesi, Southeast Sulawesi, Maluku, and West Papua. This research is expected to be a recommendation for the government and community organizations to conduct socialization regarding the maturity age of marriage and the adverse effects that can be caused by early marriage.
Salsabila Ammari, Muh Nur, Naimah Aris
Jurnal Matematika, Statistika dan Komputasi, Volume 18, pp 93-101; https://doi.org/10.20956/j.v18i1.14394

Abstract:
This paper discussed about the proof of the fixed point theorem on the standard 2-normed spaces by using completeness. The completeness of the standard 2-normed spaces is shown by defining a new norm. Two linear independent vectors on standard 2-normed spaces are used to define the new norm, namely which has been shown to be equivalent to standard norm.
Melisa Arumsari, Sri Wahyuningsih, Meiliyani Siringoringo
Jurnal Matematika, Statistika dan Komputasi, Volume 18, pp 78-92; https://doi.org/10.20956/j.v18i1.14284

Abstract:
The Singular Spectrum Analysis (SSA)-Autoregressive Integrated Moving Average (ARIMA) hybrid method is a good combination of forecasting methods to improve forecasting accuracy and is suitable for economic data that tends to have trend and seasonal patterns, one of which is inflation data. The purpose of this study is to obtain the results of inflation forecasting for East Kalimantan Province in 2021 using the SSA-ARIMA hybrid model. The results of the inflation forecasting for East Kalimantan Province in 2021 using the SSA-ARIMA(1,1,1) hybrid model overall experienced an increase and the highest inflation in 2021 occurred in December of 0.92% with a forecasting accuracy level based on the Root Mean Square Error (RMSE) was 0.069399 and Mean Absolute Percentage Error (MAPE) was 32.61084%
L.M. Jamaluddin Al Afgani
Jurnal Matematika, Statistika dan Komputasi, Volume 18, pp 121-129; https://doi.org/10.20956/j.v18i1.14035

Abstract:
The Zero-Inflated Generalized Poisson (ZIGP) distribution is a case-based distribution where the discrete data has a large number of zeros and an overdispersion occurs, i.e. the variance is greater than the mean value. The purpose of this study is to determine the Exponential Weight Moving Average (EWMA) control chart with the assumption that the data has a Zero-Inflated Generalized Poisson (ZIP) distribution. The results show that the ARL value of the ARL ZIGP EWMA control chart has better accuracy when compared to when using the ZIP EWMA control chart on ZIGP distributed data. This is indicated by the smaller ARL value compared to the ZIP EWMA control chart, namely when φ = 1.4, and φ = 0.6. So that the ARL ZIGP EWMA control chart has a fairly good accuracy in detecting out of control conditions for ZIGP distributed data. In addition, the modified ARL shows the same values ​​before and after the modification for the underdispersion data and shows a larger or negative value for the overdispersion data. This can eliminate or reduce errors in analyzing the accuracy of the control chart.
Hukmah Hukmah, Syamsuddin Toaha, Jeffry Kusuma
Jurnal Matematika, Statistika dan Komputasi, Volume 18, pp 67-77; https://doi.org/10.20956/j.v18i1.14362

Abstract:
The Intra-guild predation model is an interaction between three species where two of them compete and prey on each other for the same resource. This study considers the stage structure of prey on and combines Beddington-DeAngelis and Holling type I as functional responses in the model. Furthermore, the equilibrium point and stability of the model will be analyzed. The numerical result at the equilibrium point shows that the solution converging toward the equilibrium point so that the population is stable and will not become extinct with increasing time. In addition, the population tends to be stable when the density of prey is larger than the predator.
Samy Abdelmoezz, Salah M. Mohamed
Jurnal Matematika, Statistika dan Komputasi, Volume 18, pp 1-11; https://doi.org/10.20956/j.v18i1.14784

Abstract:
We introduce and study the Kumaraswamy Lindely Distribution (KLD) model, which has increasing, decreasing, upside-down bathtub and bathtub shaped hazard functions.. We perform a Monte Carlo simulation study to assess the finite sample behavior of the maximum likelihood estimates of the parameters. We define a new regression model based on the new distribution. The new regression was applied to data from the Egyptian stock exchange in the period of (2015-2019). Finally, we study some properties of regression Residual analysis The martingale residual, Deviance component residual.
Nur Suci Ramadhani, Toaha Toaha, Kasbawati Kasbawati
Jurnal Matematika, Statistika dan Komputasi, Volume 18, pp 12-21; https://doi.org/10.20956/j.v18i1.13881

Abstract:
In this paper, the modified Leslie-Gower predator-prey model with simplified Holling type IV functional response is discussed. It is assumed that the prey population is a dangerous population. The equilibrium point of the model and the stability of the coexistence equilibrium point are analyzed. The simulation results show that both prey and predator populations will not become extinct as time increases. When the prey population density increases, there is a decrease in the predatory population density because the dangerous prey population has a better ability to defend itself from predators when the number is large enough.
Aprilia Lutviana Dewi, Budyanra Budyanra
Jurnal Matematika, Statistika dan Komputasi, Volume 18, pp 102-120; https://doi.org/10.20956/j.v18i1.14503

Abstract:
Traffic accidents among students are one of the problems experienced in the Greater Jakarta area. World Health Organization (WHO) stated that younger drivers are the most vulnerable group to experiencing traffic accidents, including the students. According to Badan Pusat Statistik (BPS), it was estimated that as many as 301,120 Jabodetabek commuters had experienced a traffic accident in 2019. Moreover, 13 to 14 out of the 100 commuters who had experienced traffic accidents are student commuters or commuters with the main activities going to school. Therefore, this study was conducted to determine the factors that affect the accident status of Jabodetabek student commuters in 2019 and their odds ratios by using the 2019 Jabodetabek Commuter Survey data. The analytical method used is a binary logistic regression with the parameter estimation method using penalized maximum likelihood estimation (PMLE). And the results showed that the variables of age, gender, last education, mode of transportation, classification of the area of residence, distance traveled, and the area of the activity had a significant influence on the accident status of Jabodetabek student commuters. Furthermore, student commuters who live in rural areas have the highest tendency to experience a traffic accident.
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