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METODE ANALISIS REGRESI SPASIAL DALAM MEMODELKAN KASUS COVID-19 DI INDONESIA 印度尼西亚新冠肺炎模型空间调节的分析方法
Pub Date : 2022-08-31 DOI: 10.24843/mtk.2022.v11.i03.p377
Nindyna Puspasari, NI Luh Putu Suciptawati, M. Susilawati
Covid-19 is an infectious disease caused by Severe Acute Respiratory Syndrome Coronavirus 2. The transmission of Covid-19 has negative impact on every aspect. This study aimed  to determine the factors that significantly affect the number of Covid-19 cases in Indonesia. Spatial regression analysis was used as the research method. The results obtained that on the dependent variable there is a spatial dependence, so the selected model is Spatial Autoregressive Model (SAR) with an AIC value of 759.09 and an  value of 58.49%. The significant influencing factor is proportion of the population over 50 years old and open unemployment rate.
新冠肺炎是由严重急性呼吸综合征冠状病毒2引起的传染病。新冠肺炎的传播对各个方面都有负面影响。这项研究旨在确定对印度尼西亚新冠肺炎病例数有重大影响的因素。研究方法采用空间回归分析。结果表明,因变量存在空间依赖性,因此选择的模型为空间自回归模型(SAR),AIC值为759.09,值为58.49%。显著影响因素是50岁以上人口比例和公开失业率。
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引用次数: 0
PENGGUNAAN SIMULASI MONTE CARLO DALAM ESTIMASI VALUE AT RISK (VaR) PORTOFOLIO YANG DIBENTUK DARI INDEKS HARGA SAHAM MULTINASIONAL 蒙特卡罗模拟在跨国市场指数价值和投资组合风险估计中的应用综述
Pub Date : 2022-08-31 DOI: 10.24843/mtk.2022.v11.i03.p381
Nabilatul Jannah, K. Dharmawan, L. Harini
Investment is buying an asset that is expected in the future can be resold and get a high profit value. There are two factors that must be considered when you want to invest in stocks, namely the rate of return on stocks and risk factors. By forming a portfolio is expected to minimize a risk. Value at Risk (VaR) is a form of measurement of risk when making investments. In this study VaR will be calculated using the Monte Carlo Simulation method and the Historical method. This study aims to find out var portfolio estimates involving JCI and DJIA stock indices from two different countries as well as to find out the differences between VaR using Historical and VaR using Monte Carlo Simulations. From the stock index data obtained further determined the value of the parameters, namely the expected return and standard deviation values used to calculate the value of the VaR Portfolio, while the confidence increase used in this study was 99% and with a period of 1 or the next day. Based on the results of the VaR value study using the Monte Carlo Simulation method and the Historical method, the Historical method obtained results of 3,650,506 and 1,029,103. The results showed that VaR values using the Monte Carlo Simulation method got greater results than using the Historical method, because the Monte Carlo Simulation performed repeated iterations by including random number generators.
投资是指购买一种预期在未来可以转售并获得高利润的资产。当你想投资股票时,必须考虑两个因素,即股票的回报率和风险因素。期望通过形成投资组合来最大限度地降低风险。风险价值(VaR)是一种衡量投资风险的形式。在本研究中,VaR将使用蒙特卡罗模拟方法和历史方法进行计算。本研究旨在找出两个不同国家的JCI和DJIA股指的var投资组合估计,并找出历史var和蒙特卡洛模拟var之间的差异。根据获得的股指数据,进一步确定了参数的值,即用于计算VaR投资组合价值的预期回报和标准差值,而本研究中使用的置信度增加为99%,时间为1或次日。基于蒙特卡洛模拟法和历史法的VaR值研究结果,历史法获得了3650506和1029103的结果。结果表明,使用蒙特卡罗模拟方法的VaR值比使用历史方法得到的结果更大,因为蒙特卡罗模拟通过包括随机数生成器来执行重复迭代。
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引用次数: 1
IDENTIFIKASI FAKTOR YANG MEMENGARUHI GINI RATIO DI INDONESIA 印尼基尼系数相关因素的识别
Pub Date : 2022-08-31 DOI: 10.24843/mtk.2022.v11.i03.p376
Gusti Ayu Made Candra Rini, NI Luh Putu Suciptawati, I. A. A. Utari
Inequality in income distribution is one of the problems that are often experienced by some countries in the world. Income inequality in Indonesia is measured by an indicator named Gini Ratio. BPS Indonesia noted that in March 2021, the Gini Ratio in Indonesia was 0,384. This figure shows that Indonesia belongs to the category of moderate income inequality, which means that income in Indonesia is not well distributed or there is an inequality in income distribution. For this reason, the inequality that occurs needs to be decreased by recognizing the factors that affect it. The purpose of this study was to determine the factors that significantly affect the Indonesia’s Gini Ratio in 2016-2020 by applying panel data regression. The results show that the model chosen to represent the Indonesia’s Gini Ratio in 2016-2020 is a fixed time effect model with of 40,282%, which is significantly be affected by the human development index, population, open unemployment rate, percentage of poor people, and average hourly wage for worker.
收入分配不平等是世界上一些国家经常遇到的问题之一。印度尼西亚的收入不平等是通过一个名为基尼系数的指标来衡量的。BPS Indonesia指出,2021年3月,印尼的基尼系数为0384。这一数字表明,印度尼西亚属于中等收入不平等的类别,这意味着印度尼西亚的收入分配不均衡或收入分配不平等。因此,需要通过识别影响不平等的因素来减少这种不平等。本研究的目的是通过应用面板数据回归来确定2016-2020年对印度尼西亚基尼系数产生重大影响的因素。结果表明,选择代表2016-2020年印尼基尼系数的模型是一个固定的时间效应模型,为40282%,受人类发展指数、人口、公开失业率、贫困人口百分比和工人平均时薪的显著影响。
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引用次数: 0
PENERAPAN METODE DOUBLE EXPONENTIAL SMOOTHING UNTUK MERAMALKAN PRODUKSI DAN KONSUMSI DOMESTIK BERAS DI INDONESIA 工业产品和消费的双指数平滑发展方法
Pub Date : 2022-08-31 DOI: 10.24843/mtk.2022.v11.i03.p375
Putri Nur Prasetia, Anita Triska, Julita Nahar
Rice is one of the most important commodities in Indonesia since it is one of the staple foods.Therefore, it becomes one of Indonesian government concerns by setting a goal of 46,8 million tons of rice supply in 2024. Despite 29,67% of the population earns their living from agriculture, forestry, and fisheries, the domestic production of rice could not meet its demand many times. Hence, the forecasting of the production and domestic consumption of rice is needed to know whether the domestic production is able to meet the demand. In this study, the rice production and domestic consumption were forecasted using the Double Exponential Smoothing (DES) method. The DES was chosen due to the pattern of the data shows the trends without seasonality. The accuracy of the forecasting was measured by Mean Absolute Percentage Error (MAPE) and Durbin-Watson statistic test. The yielded forecasts showed that the production rate is lower than the domestic consumption’s so that it would not meet the demand. It was concluded that the DES suitable to be used to forecast production and domestic consumption of rice in Indonesia since its MAPE are 6,48% and 5,91%, respectively. Moreover, the Durbin-Watson statistic showed that there was no autocorrelations on the errors of both data.
大米是印度尼西亚最重要的商品之一,因为它是主食之一。因此,设定2024年大米供应量为4680万吨的目标,成为印尼政府关注的问题之一。尽管29.67%的人口以农业、林业和渔业为生,但国内水稻产量多次无法满足需求。因此,需要对大米的生产和国内消费进行预测,以了解国内生产是否能够满足需求。本研究采用双指数平滑(DES)方法对水稻生产和国内消费进行了预测。之所以选择DES,是因为数据的模式显示了没有季节性的趋势。预测的准确性通过平均绝对百分比误差(MAPE)和德宾-沃森统计检验来衡量。产出预测显示,生产率低于国内消费,因此无法满足需求。得出的结论是,自其MAPE以来,适用于预测印度尼西亚水稻生产和国内消费的DES分别为6,48%和5,91%。此外,德宾-沃森统计数据表明,这两个数据的误差没有自相关关系。
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引用次数: 0
IMPLEMENTASI FUZZY C-MEAN DAN ALGORITMA PARTICLE SWARM OPTIMIZATION UNTUK CLUSTERING KABUPATEN/KOTA DI INDONESIA BERDASARKAN INDIKATOR INDEKS PEMBANGUNAN MANUSIA
Pub Date : 2022-08-31 DOI: 10.24843/mtk.2022.v11.i03.p380
I. Dwiguna, G. Gandhiadi, L. Harini
This research is aimed to determine conduct clustering in accordance with the conditions of districts / cities throughout Indonesia based on the IPM indicator and to determine the performance comparison of Fuzzy C-Means using particle swarm optimization compared to ordinary fuzzy c mean. The study uses 514 district / city data in Indonesia based on four IPM indicators. The research show 4 clusters that describe the condition of the Indonesian region and based on the results of cluster validation shows that there are differences in the ordinary Fuzzy C-Means mean algorithm and Fuzzy C-Means using particle swarm optimization.
本研究的目的是基于IPM指标,确定根据印度尼西亚各地区的/城市的情况进行聚类,并确定使用粒子群优化的模糊c - means与普通模糊c - means的性能比较。该研究基于四个IPM指标,使用了印度尼西亚514个地区/城市的数据。研究得到了描述印尼地区情况的4个聚类,基于聚类验证的结果表明,普通的模糊C-Means均值算法与使用粒子群优化的模糊C-Means算法存在差异。
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引用次数: 1
APAKAH MUTU LAYANAN AKADEMIK MEMENGARUHI KEPUASAN MAHASISWA FMIPA UNUD BELAJAR DI MASA PANDEMI 学术服务质量是否影响新流行病学生FMIPA满意的学习
Pub Date : 2022-06-05 DOI: 10.24843/mtk.2022.v11.i02.p373
Muhamad Rifai, I. P. E. N. Kencana, Desak Putu Eka Nilakusmawati
Colleges as service providers must provide satisfaction to their students. At the concept of service, students as a group of consumers should get optimum service. The aim of this research is to determine the effect of the quality of academic services on student satisfaction at the Faculty of Mathematics and Natural Sciences, Udayana University during the Covid-19 pandemic. The analysis technique uses Partial Least Square Structural Equation Modeling (PLS-SEM). The results show that the dimensions of tangibles and empathy are proven to be significant, while dimensions of reliability, responsiveness, and assurance is not proven to significantly affect the quality of academic services. Increased the quality of academic services has proven to have a positive and significant effect on student satisfaction of FMIPA UNUD.
大学作为服务提供者必须让学生满意。在服务理念上,学生作为消费者群体应该得到最优的服务。本研究的目的是确定在2019冠状病毒病大流行期间,乌达亚纳大学数学和自然科学学院的学术服务质量对学生满意度的影响。分析技术采用偏最小二乘结构方程模型(PLS-SEM)。结果表明,有形和共情维度对学术服务质量的影响显著,而可靠性、响应性和保证维度对学术服务质量的影响不显著。事实证明,学术服务质量的提高对FMIPA UNUD的学生满意度有积极而显著的影响。
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引用次数: 0
PERHITUNGAN RISIKO KREDIT KPR PADA BANK XYZ MENGGUNAKAN METODE CREDITRISK+ XYZ银行信用风险评估提供了信用计量方法+
Pub Date : 2022-05-31 DOI: 10.24843/mtk.2022.v11.i02.p366
Soraya Sarah Afifah, K. Dharmawan, I. G. A. M. Srinadi
Credit risk is a risk that is often encountered by banks in lending, especially mortgages. Banks can get losses if the risk is not anticipated properly. The purpose of this study is to estimate the number of losses (expected loss and unexpected loss) obtained by Bank XYZ due to default debtors and to estimate the amount of economic capital that must be provided by Bank XYZ in anticipating unexpected losses. The study was conducted using the CreditRisk+ method with a Poisson distribution approach. The ratio between expected loss and unexpected loss obtained from the calculation results is 57%. With the value of economic capital that needs to be provided by Bank XYZ is Rp. 647.594.176.768,-. This means that Bank XYZ needs to monitor the outstanding credit of their debtors who experience default in the credit portfolio in order to avoid possible losses and provide economic capital to cover these losses. So that the estimated value of economic capital can be used as a capital benchmark to anticipate maximum losses and as an indicator for Bank XYZ to earn income from credit activities.
信贷风险是银行在放贷中经常遇到的风险,尤其是抵押贷款。如果没有正确预测风险,银行可能会遭受损失。本研究的目的是估计XYZ银行因违约债务人而获得的损失数量(预期损失和意外损失),并估计XYZ银行在预测意外损失时必须提供的经济资本金额。该研究采用CreditRisk+方法和泊松分布方法进行。根据计算结果,预期损失与意外损失之比为57%。XYZ银行需要提供的经济资本价值为647.594.176.768卢比,-。这意味着XYZ银行需要监控其在信贷组合中发生违约的债务人的未偿信贷,以避免可能的损失,并提供经济资本来弥补这些损失。因此,经济资本的估计值可以用作预测最大损失的资本基准,也可以用作XYZ银行从信贷活动中赚取收入的指标。
{"title":"PERHITUNGAN RISIKO KREDIT KPR PADA BANK XYZ MENGGUNAKAN METODE CREDITRISK+","authors":"Soraya Sarah Afifah, K. Dharmawan, I. G. A. M. Srinadi","doi":"10.24843/mtk.2022.v11.i02.p366","DOIUrl":"https://doi.org/10.24843/mtk.2022.v11.i02.p366","url":null,"abstract":"Credit risk is a risk that is often encountered by banks in lending, especially mortgages. Banks can get losses if the risk is not anticipated properly. The purpose of this study is to estimate the number of losses (expected loss and unexpected loss) obtained by Bank XYZ due to default debtors and to estimate the amount of economic capital that must be provided by Bank XYZ in anticipating unexpected losses. The study was conducted using the CreditRisk+ method with a Poisson distribution approach. The ratio between expected loss and unexpected loss obtained from the calculation results is 57%. With the value of economic capital that needs to be provided by Bank XYZ is Rp. 647.594.176.768,-. This means that Bank XYZ needs to monitor the outstanding credit of their debtors who experience default in the credit portfolio in order to avoid possible losses and provide economic capital to cover these losses. So that the estimated value of economic capital can be used as a capital benchmark to anticipate maximum losses and as an indicator for Bank XYZ to earn income from credit activities.","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42201093","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
ANALISIS PORTOFOLIO OPTIMAL MENGGUNAKAN METODE LEXICOGRAPHIC GOAL PROGRAMMING DENGAN PENDEKATAN VaR – GEV 最佳投资组合分析采用了VaR - GEV方法的lexico图形GOAL编程方法
Pub Date : 2022-05-31 DOI: 10.24843/mtk.2022.v11.i02.p370
Yohana Th.V. Seran, K. Dharmawan, Ni Ketut Tari Tastrawati
The stock portfolio is a combination of several stocks that can help reduce investment risk. Risk can be measured using Value at Risk. This study aims to form an optimal portfolio in which stock risk is estimated using VaR with Generalized Extreme Value distribution followed by selecting the optimal portfolio forming stock using the Lexicographic Goal Programming method. The result of this research is that a portfolio with three selected stocks is formed, namely BBRI with a proportion of 63%, KLBF with a proportion of 25% and MNCN with a proportion of 12%. From the optimal portfolio formed, the expected return is 0.00005106 and the risk is 0.0187.
股票投资组合是几种股票的组合,可以帮助降低投资风险。可以使用风险价值来度量风险。本研究的目的是形成一个最优的投资组合,利用广义极值分布的VaR估计股票风险,然后利用字典目标规划方法选择最优的投资组合形成股票。本研究的结果是形成了一个由三只精选股票组成的投资组合,即BBRI占63%,KLBF占25%,MNCN占12%。从形成的最优投资组合来看,预期收益为0.00005106,风险为0.0187。
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引用次数: 0
ESTIMASI CVAR PADA PORTOFOLIO SAHAM MENGGUNAKAN METODE GJR-EVT DENGAN PENDEKATAN D-VINE COPULA PORTOFOLIO的CVAR估计涉及COPULA-VINE决策时的GJR-EVT方法
Pub Date : 2022-05-31 DOI: 10.24843/mtk.2022.v11.i02.p372
D. Maulana, K. Dharmawan, I. G. A. M. Srinadi
Risk measure using Conditional Value at Risk can be calculate if values that exceeds the p-quantile is known in VaR. The models used to accommodate characteristics of the stock portfolio in this research are EVT-GARCH-D-vine copula and EVT-GJR-D-vine copula so the performance of these two models can be compared. A comparison of the performance of the EVT-GARCH-D-vine copula and EVT-GJR-D-vine copula models can be seen from the Kupiec test backtesting process. Exceeded value Kupiec Test on CVaR 99% is 2, CVaR 95% is 6, and CVaR 90% is 13 for AR(1)-GARCH-t(1,1)-GPD and CVaR 99% is 3, CVaR 95% is 7, and CVaR 90% is 13 for AR(1)-GJR-t(1,1)-GPD. The Kupiec test describes the estimated risk value of CVaR running well with the value of the entire model above the significant level of ? = 0.05 so as to provide a conclusion of risk estimates considered feasible.
如果VaR中已知超过p分位数的值,则可以使用条件风险值来计算风险度量。本研究中用于适应股票投资组合特征的模型是EVT-GARCH-D-vine copula和EVT-GJR-D-vine copura,因此可以比较这两个模型的性能。从Kupiec测试回溯测试过程中可以看出EVT-GARCH-D-葡萄树copula和EVT-GJR-D-葡萄树Copura模型的性能比较。AR(1)-GARCH-t(1,1)-GPD的CVaR 99%的Kupiec试验超标值为2,CVaR 95%为6,CVaR90%为13,AR(1。Kupiec检验描述了CVaR运行良好的估计风险值,整个模型的值高于显著水平?=0.05,从而提供被认为可行的风险估计的结论。
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引用次数: 0
PERAMALAN HARGA BITCOIN DENGAN METODE SMOOTH TRANSITION AUTOREGRESSIVE (STAR) 平稳过渡时市场比特币的管理自回归方法(STAR)
Pub Date : 2022-05-31 DOI: 10.24843/mtk.2022.v11.i02.p367
I. Pratama, I. W. Sumarjaya, NI Luh Putu Suciptawati
One of the spectacular advances in technology in the economic field is the cryptocurrency it created. The fluctuating price of Bitcoin, is widely used as a means of making profit. The time series forecasting method that can be used for the case of nonlinear time series data such as Bitcoin data is the smooth transition autoregressive (STAR) model. STAR is an extension of the autoregressive model for nonlinear time data. The purpose of this study is to obtain the results of forecasting Bitcoin price data for the next 2 two months using the STAR method. The data used in this study is Bitcoin daily price data from September 2017 to April 2021. To estimate the STAR model, several things that must be determined are the autoregressive model, transition variables, and transition functions. If the STAR model has been estimated, forecasting will be carried out for the next 2 months, which results in the forecast for the highest Bitcoin price falling on June 30, 2021 and the lowest Bitcoin price falling on May 1, 2021.
在经济领域,技术的惊人进步之一是它创造的加密货币。比特币的价格波动被广泛用作盈利手段。对于比特币等非线性时间序列数据,可以使用的时间序列预测方法是平滑过渡自回归(STAR)模型。STAR是非线性时间数据自回归模型的扩展。本研究的目的是利用STAR方法预测未来2个月的比特币价格数据。本研究使用的数据是2017年9月至2021年4月的比特币每日价格数据。要估计STAR模型,必须确定的几件事是自回归模型、转换变量和转换函数。如果STAR模型已经估算出来,接下来的2个月将进行预测,预测结果是2021年6月30日比特币价格最高,2021年5月1日比特币价格最低。
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引用次数: 0
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E-Jurnal Matematika
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