Pub Date : 2022-12-13DOI: 10.24198/jmi.v18.n2.42024.217-227
S. Nurdiati, M. Najib, Muhammad Zidane Bayu
Forest and land fires in Indonesia have a close relationship with the surrounding climatic conditions, such as rainfall. One model that can be used to analyze the relationship between the two variables is the copula. However, apart from rainfall, global climate phenomena such as the El Nino-Southern Oscillation (ENSO) and the Indian Ocean Dipole (IOD) also have an influence on forest and land fires. Therefore, this study analyzes and models the copula-based co-distribution between rainfall and burned area by partitioning the data based on ENSO and IOD phenomena. The method used is copula-based joint distribution analysis which is estimated using the Inference of Function for Margins (IFM) method. Several copula functions are used to form joint distributions, such as Gaussian, student’s t, Clayton, Gumbel, Frank, Joe, Galambos, BB1 (Clayton-Gumbel), BB6 (Joe-Clayton), BB7 (Joe-Gumbel), and BB8 (Joe-Frank). The results showed that the highest correlation to the burned area occurred for the two months cumulative rainfall data based on the Kendall-Tau correlation. Each ENSO and IOD condition has different characteristics, indicated by the differences in the selected univariate distribution and copula function. Probabilities of burning areas are higher when rainfall is low. In addition, the higher the ENSO and IOD indices, the higher the probability of burned area, during low rainfall. Based on the conditional probabilities, the Positive IOD condition has relatively more significant influence than the Moderate-Strong El Nino. Apart from the Moderate-Strong El Nino and Positive IOD, another condition that has a conditional probability for a relatively high is Weak El Nino conditions. Other conditions, such as La Nina, normal ENSO, negative IOD, and Neutral IOD, have a conditional probability of a very small burn area.
{"title":"Analisis Pembentukan Sebaran Bivariat Berbasis Copula Antara Luas Area Terbakar dan Curah Hujan di Sumatra Bagian Selatan","authors":"S. Nurdiati, M. Najib, Muhammad Zidane Bayu","doi":"10.24198/jmi.v18.n2.42024.217-227","DOIUrl":"https://doi.org/10.24198/jmi.v18.n2.42024.217-227","url":null,"abstract":"Forest and land fires in Indonesia have a close relationship with the surrounding climatic conditions, such as rainfall. One model that can be used to analyze the relationship between the two variables is the copula. However, apart from rainfall, global climate phenomena such as the El Nino-Southern Oscillation (ENSO) and the Indian Ocean Dipole (IOD) also have an influence on forest and land fires. Therefore, this study analyzes and models the copula-based co-distribution between rainfall and burned area by partitioning the data based on ENSO and IOD phenomena. The method used is copula-based joint distribution analysis which is estimated using the Inference of Function for Margins (IFM) method. Several copula functions are used to form joint distributions, such as Gaussian, student’s t, Clayton, Gumbel, Frank, Joe, Galambos, BB1 (Clayton-Gumbel), BB6 (Joe-Clayton), BB7 (Joe-Gumbel), and BB8 (Joe-Frank). The results showed that the highest correlation to the burned area occurred for the two months cumulative rainfall data based on the Kendall-Tau correlation. Each ENSO and IOD condition has different characteristics, indicated by the differences in the selected univariate distribution and copula function. Probabilities of burning areas are higher when rainfall is low. In addition, the higher the ENSO and IOD indices, the higher the probability of burned area, during low rainfall. Based on the conditional probabilities, the Positive IOD condition has relatively more significant influence than the Moderate-Strong El Nino. Apart from the Moderate-Strong El Nino and Positive IOD, another condition that has a conditional probability for a relatively high is Weak El Nino conditions. Other conditions, such as La Nina, normal ENSO, negative IOD, and Neutral IOD, have a conditional probability of a very small burn area.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45441010","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}
{"title":"Estimasi Parameter Model Regresi Nonparametrik Birespon berdasarkan Penalized Spline Pada Data Tindak Kriminal di Indonesia (Studi Kasus Jumlah Kejadian Kejahatan terhadap Kesusilaan dan Jumlah Kejadian Kejahatan terhadap Fisik di Indonesia Tahun 2020)","authors":"Reffa Ayu Anggraeni, Nurul Gusriani, Kankan Parmikanti","doi":"10.24198/jmi.v18.n2.41977.203-215","DOIUrl":"https://doi.org/10.24198/jmi.v18.n2.41977.203-215","url":null,"abstract":"","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49232868","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}
Pub Date : 2022-12-13DOI: 10.24198/jmi.v18.n2.40224.115-126
Rizky Ashgi, S. Purwani, N. Anggriani
{"title":"Analisis Dinamik Penyebaran Model Covid-19 dengan Faktor Vaksinasi dengan menggunakan Metode Runge-Kutta Fehlberg","authors":"Rizky Ashgi, S. Purwani, N. Anggriani","doi":"10.24198/jmi.v18.n2.40224.115-126","DOIUrl":"https://doi.org/10.24198/jmi.v18.n2.40224.115-126","url":null,"abstract":"","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42324671","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}
Pub Date : 2022-12-13DOI: 10.24198/jmi.v18.n2.40461.141-155
Rizka 'Abid Fadhiilah, Budi Surodjo
Fuzzy subgroups can be generalized into intuitionistic fuzzy subgroups and fuzzy subgroups over t -norm. Furthermore, intuitionistic fuzzy subgroups and fuzzy subgroups over t -norm can be generalized into intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm). The property of product under norms ( t -norm and s -norm) of two intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) and the property of image of intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) under group homomorphism were dis-cussed by Rasuli [8] . However, by giving counterexamples, it can be shown that both properties are not true. In this article, we reinvestigate the property of product under norms ( t -norm and s -norm) of two intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) and the property of image of intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) under group homomorphism. We use the literature study method in this research. The results show that the property of product under norms ( t -norm and s -norm) of two intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) and the property of image of intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) under group homomorphism in [8] can be valid if t -norm and s -norm are continuous.
{"title":"Sifat-Sifat Subgrup Fuzzy Intuitionistik atas Norm (t-Norm dan s-Norm)","authors":"Rizka 'Abid Fadhiilah, Budi Surodjo","doi":"10.24198/jmi.v18.n2.40461.141-155","DOIUrl":"https://doi.org/10.24198/jmi.v18.n2.40461.141-155","url":null,"abstract":"Fuzzy subgroups can be generalized into intuitionistic fuzzy subgroups and fuzzy subgroups over t -norm. Furthermore, intuitionistic fuzzy subgroups and fuzzy subgroups over t -norm can be generalized into intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm). The property of product under norms ( t -norm and s -norm) of two intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) and the property of image of intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) under group homomorphism were dis-cussed by Rasuli [8] . However, by giving counterexamples, it can be shown that both properties are not true. In this article, we reinvestigate the property of product under norms ( t -norm and s -norm) of two intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) and the property of image of intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) under group homomorphism. We use the literature study method in this research. The results show that the property of product under norms ( t -norm and s -norm) of two intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) and the property of image of intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) under group homomorphism in [8] can be valid if t -norm and s -norm are continuous.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45516202","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}
Pub Date : 2022-12-13DOI: 10.24198/jmi.v18.n2.41918.189-202
M. I. Rachman, Anasya Daffa Pertiwi
An accurate calculation of premium reserves will ensure that the insurance company can pay claims. Premium reserves are funds collected by insurance companies which are the difference between the sum insured and the value of payments during the insurance period prepared for claim payments. There are several methods for calculating premium reserves, but the methods that are the focus of this study are the Zillmer method and the Premium Sufficiency method, extensions of the prospective method. This study aims to compare the two methods using the Vasicek model to determine the stochastic interest rate. Then the Ordinary Least Square method is used to estimate the Vasicek interest rate parameter. In comparing the two premium reserve methods, this study builds a simulation for reference male and female insureds using Bank Indonesia reference rate data for 2017-2021 and the Indonesian Mortality Table IV from 2019. The results of this study indicate that premiums reserve calculations using the Zillmer method yield less value than the Premium Adequacy method for both male and female insureds.
{"title":"Comparison of Zillmer and Premium Sufficiency Reserve Method using the Vasicek Stochastic Interest Rate Model","authors":"M. I. Rachman, Anasya Daffa Pertiwi","doi":"10.24198/jmi.v18.n2.41918.189-202","DOIUrl":"https://doi.org/10.24198/jmi.v18.n2.41918.189-202","url":null,"abstract":"An accurate calculation of premium reserves will ensure that the insurance company can pay claims. Premium reserves are funds collected by insurance companies which are the difference between the sum insured and the value of payments during the insurance period prepared for claim payments. There are several methods for calculating premium reserves, but the methods that are the focus of this study are the Zillmer method and the Premium Sufficiency method, extensions of the prospective method. This study aims to compare the two methods using the Vasicek model to determine the stochastic interest rate. Then the Ordinary Least Square method is used to estimate the Vasicek interest rate parameter. In comparing the two premium reserve methods, this study builds a simulation for reference male and female insureds using Bank Indonesia reference rate data for 2017-2021 and the Indonesian Mortality Table IV from 2019. The results of this study indicate that premiums reserve calculations using the Zillmer method yield less value than the Premium Adequacy method for both male and female insureds.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47090264","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}
Pub Date : 2022-12-13DOI: 10.24198/jmi.v18.n2.40448.127-139
Ade Novia Rahma, Resi Arisanti, C. C. Marzuki, Fitri Aryani
This study aims to determine the inverse of the Leslie matrix of special order n × n ( n ≥ 4) using the Adjoin method. There are three steps to do. First, note the shape of the determinant pattern of the Leslie matrix of special shapes of the order 4 × 4 to 10 × 10 so that the general form is obtained. Second, consider the shape of the cofactor matrix pattern of the Leslie matrix in the special form of the order 4 × 4 to 10 × 10 so that the general form is obtained. Third, the general form of the inverse of the Leslie matrix of the special form of order n × n is obtained based on Theorem 3.1 regarding the general form of the determinant and Theorem 3.2 relating to the general form of the cofactor.
{"title":"Invers Matriks Leslie Bentuk Khusus Ordo n×n (n≥4)","authors":"Ade Novia Rahma, Resi Arisanti, C. C. Marzuki, Fitri Aryani","doi":"10.24198/jmi.v18.n2.40448.127-139","DOIUrl":"https://doi.org/10.24198/jmi.v18.n2.40448.127-139","url":null,"abstract":"This study aims to determine the inverse of the Leslie matrix of special order n × n ( n ≥ 4) using the Adjoin method. There are three steps to do. First, note the shape of the determinant pattern of the Leslie matrix of special shapes of the order 4 × 4 to 10 × 10 so that the general form is obtained. Second, consider the shape of the cofactor matrix pattern of the Leslie matrix in the special form of the order 4 × 4 to 10 × 10 so that the general form is obtained. Third, the general form of the inverse of the Leslie matrix of the special form of order n × n is obtained based on Theorem 3.1 regarding the general form of the determinant and Theorem 3.2 relating to the general form of the cofactor.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43089034","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}
Pub Date : 2022-12-13DOI: 10.24198/jmi.v18.n2.40058.103-114
Fernanda Caesa Putri, Ani Andriyati, Embay Rohaeti
This study aims to analyze the effect of the relationship between the status of COVID-19 patients on the factors that influence COVID-19 in Depok City with multinomial logistic regression. Data were collected using a questionnaire with a snowball sampling technique. The responses used in this study were suspected, confirmed, and close contact, where the variable is the type of status of the COVID-19 patient. The predictor variables in this study were age, gender, location of residence, living conditions, type of work, information, lifestyle, contact history, and health facilities, where these variables are factors that influence the status of COVID-19 patients in Depok City. The results of the model fit test using the Pearson test obtained a P-value > 5% , so it can be said that there is no difference between the observed and predicted models; in other words, the resulting model is used. The results obtained are very significant variables between the status of COVID-19 and the factors that influence it in Depok City, namely lifestyle with the category of exercise, contact history with the type of fewer than three days. The odds obtained from each COVID-19 patient status in Depok City are 0.000000036 in the confirmed category, 0.999 in the close contact category, and 0.00000048 in the suspect category.
{"title":"Analisis Regresi Logistik Multinomial pada Faktor-Faktor yang Mempengaruhi Status Pasien Covid-19 di Kota Depok","authors":"Fernanda Caesa Putri, Ani Andriyati, Embay Rohaeti","doi":"10.24198/jmi.v18.n2.40058.103-114","DOIUrl":"https://doi.org/10.24198/jmi.v18.n2.40058.103-114","url":null,"abstract":"This study aims to analyze the effect of the relationship between the status of COVID-19 patients on the factors that influence COVID-19 in Depok City with multinomial logistic regression. Data were collected using a questionnaire with a snowball sampling technique. The responses used in this study were suspected, confirmed, and close contact, where the variable is the type of status of the COVID-19 patient. The predictor variables in this study were age, gender, location of residence, living conditions, type of work, information, lifestyle, contact history, and health facilities, where these variables are factors that influence the status of COVID-19 patients in Depok City. The results of the model fit test using the Pearson test obtained a P-value > 5% , so it can be said that there is no difference between the observed and predicted models; in other words, the resulting model is used. The results obtained are very significant variables between the status of COVID-19 and the factors that influence it in Depok City, namely lifestyle with the category of exercise, contact history with the type of fewer than three days. The odds obtained from each COVID-19 patient status in Depok City are 0.000000036 in the confirmed category, 0.999 in the close contact category, and 0.00000048 in the suspect category.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43275188","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}
Pub Date : 2022-05-23DOI: 10.24198/jmi.v18.n1.36064.63-72
Nicola Chandra Darmawan, H. Tasman
{"title":"Model Matematika Penyebaran Penyakit Pneumonia dengan Intervensi Vaksinasi dan Pengobatan","authors":"Nicola Chandra Darmawan, H. Tasman","doi":"10.24198/jmi.v18.n1.36064.63-72","DOIUrl":"https://doi.org/10.24198/jmi.v18.n1.36064.63-72","url":null,"abstract":"","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46497765","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}
Pub Date : 2022-05-23DOI: 10.24198/jmi.v18.n1.38212.19-26
P. Novalia, R. Riaman, Betty Subartini
untuk pengal-ihan dialami petani. Tujuan penelitian adalah untuk menentukan nilai rata-rata, faktor-faktor yang memengaruhi, dan nilai peluang kesediaan membayar premi. Kesediaan membayar premi nilainya dapat ditentukan melalui Contingent Valuation Method (CVM). Sedangkan untuk mengetahui faktor-faktor yang memengaruhi dan nilai peluang kesediaan membayar premi dianalisis menggunakan Abstract Agricultural activities, specifically paddy farming, will tend to be associated with consistently elevated risks for crop failure rates caused by natural disas-ters like floods and droughts, pests, and plant diseases due to climate change. Paddy farm insurance is expected to be capable of being utilized as a solution to reduce the risk of crop failure that may be encountered by farmers. This research was intended to determine the average value and factors that provide an influence on the willingness of farmers to pay, and probability for farmers to pay the paddy farm insurance premium. Willingness to Pay (WTP) value may be determined through the Contingent Valuation Method (CVM). More-over, the factors that provide an influence on the willingness of farmers to be involved and probability value for farmers to pay premiums may be analyzed by Logistic Regression. Referring to the research results, the average value of the willingness to pay premiums was amounted to Rp 31.973,73/Ha/MT. This value was found to be 11.18% less than the current premium determined by the government. Major factors that were considered capable of influencing farmers to pay premium is consisted of the area of agricultural land and farm-ing experience, with probability value of farmers to pay premium is 0,1414.
{"title":"Analisis Kesediaan Membayar Premi Asuransi Usahatani Padi Menggunakan Model Regresi Logistik","authors":"P. Novalia, R. Riaman, Betty Subartini","doi":"10.24198/jmi.v18.n1.38212.19-26","DOIUrl":"https://doi.org/10.24198/jmi.v18.n1.38212.19-26","url":null,"abstract":"untuk pengal-ihan dialami petani. Tujuan penelitian adalah untuk menentukan nilai rata-rata, faktor-faktor yang memengaruhi, dan nilai peluang kesediaan membayar premi. Kesediaan membayar premi nilainya dapat ditentukan melalui Contingent Valuation Method (CVM). Sedangkan untuk mengetahui faktor-faktor yang memengaruhi dan nilai peluang kesediaan membayar premi dianalisis menggunakan Abstract Agricultural activities, specifically paddy farming, will tend to be associated with consistently elevated risks for crop failure rates caused by natural disas-ters like floods and droughts, pests, and plant diseases due to climate change. Paddy farm insurance is expected to be capable of being utilized as a solution to reduce the risk of crop failure that may be encountered by farmers. This research was intended to determine the average value and factors that provide an influence on the willingness of farmers to pay, and probability for farmers to pay the paddy farm insurance premium. Willingness to Pay (WTP) value may be determined through the Contingent Valuation Method (CVM). More-over, the factors that provide an influence on the willingness of farmers to be involved and probability value for farmers to pay premiums may be analyzed by Logistic Regression. Referring to the research results, the average value of the willingness to pay premiums was amounted to Rp 31.973,73/Ha/MT. This value was found to be 11.18% less than the current premium determined by the government. Major factors that were considered capable of influencing farmers to pay premium is consisted of the area of agricultural land and farm-ing experience, with probability value of farmers to pay premium is 0,1414.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43993584","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}
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