Journal of Mathematics : Theory and Application最新文献

Analisis Jumlah Klaim Agregasi Berdistribusi Negative Binomial Dan Besar Klaim Berdistribusi Discreate Uniform Dengan Menggunakan Metode Konvolusi 分析了用彻底方法进行的负二项式分布的总索赔数量和广泛分布的Uniform索赔金额

Journal of Mathematics : Theory and Application Pub Date : 2022-11-17 DOI: 10.31605/jomta.v4i2.2010

Seftina Diyah Miasary

{"title":"Analisis Jumlah Klaim Agregasi Berdistribusi Negative Binomial Dan Besar Klaim Berdistribusi Discreate Uniform Dengan Menggunakan Metode Konvolusi","authors":"Seftina Diyah Miasary","doi":"10.31605/jomta.v4i2.2010","DOIUrl":"https://doi.org/10.31605/jomta.v4i2.2010","url":null,"abstract":"Claims are a form of demands from insurance policy holders in order to get protection against financial losses due to risks that occur. Claims that arise every time a risk occurs are called individual claims, while the total of individual claims during an insurance period is called aggregation claims. In addition, claims are one of the important elements in optimizing the minimum expenditure of insurance companies where one of the calculations that insurance companies need to know based on claims is aggregate loss. Aggregate loss is the total loss in a period experienced by the policyholder which is borne by an insurance company. This study aims to determine the estimated total aggregate loss claims for the number of claims with a Negative Binomial distribution and the size of the claims with a Discrete Uniform distribution in the recapitulation of claim payments according to all types of guarantees and the nature of injuries in 2018-2020 PT. Jasa Raharja, Purwakarta. This study uses the convolution method with the help of Easyfit and R Studio software. The convolution method is a method of calculating the number of multiplication pairs of a probability density function. The results of this study indicate that from the recapitulation data on claim payments according to all types of insurance and nature of injury in 2018-2020 PT. Jasa Raharja, Purwakarta, the estimated total monthly aggregate loss claims for the years 2021-2023 using Jasa Raharja's insurance claim data from 2018 to 2020 based on the Negative Binomial distribution and the Discrete Uniform distribution is IDR 4,278,5545,000 and the variance value of 2.128412e-06.","PeriodicalId":400972,"journal":{"name":"Journal of Mathematics : Theory and Application","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117331430","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 Tingkat Kepentingan terhadap Faktor-Faktor yang Mempengaruhi Indeks Pembangunan Manusia di Indonesia 对影响印尼人类发展指数的因素的兴趣水平分析

Journal of Mathematics : Theory and Application Pub Date : 2022-11-14 DOI: 10.31605/jomta.v4i2.2030

Retno Mayapada -, Reski Wahyu Yanti, Syandriana Syarifuddin

引用次数: 1

Pemodelan Matematika SEIRS pada Penyebaran Covid-19 dengan Penerapan Protokol Kesehatan (Studi Kasus di Kabupaten Bulukumba) Covid-19推广Covid-19的数学建模，采用健康协议(布鲁库巴区个案研究)

Journal of Mathematics : Theory and Application Pub Date : 2022-11-14 DOI: 10.31605/jomta.v4i2.2035

Muhammad Abdy, Syafruddin Side, Sopiyah

引用次数: 0

Cadangan Canadian Asuransi Jiwa Dwiguna dengan Penerapan Hukum Mortalitas De Moivre 加拿大的两倍人寿保险储备适用于莫雷夫尔的死亡率法

Journal of Mathematics : Theory and Application Pub Date : 2022-11-14 DOI: 10.31605/jomta.v4i2.2031

D. Sari, Darma Ekawati

{"title":"Cadangan Canadian Asuransi Jiwa Dwiguna dengan Penerapan Hukum Mortalitas De Moivre","authors":"D. Sari, Darma Ekawati","doi":"10.31605/jomta.v4i2.2031","DOIUrl":"https://doi.org/10.31605/jomta.v4i2.2031","url":null,"abstract":"Cadangan premi adalah sejumlah dana yang perlu dipersiapkan oleh perusahaan asuransi untuk persiapan pembayaran manfaat pertanggungan ketika terjadi klaim. Salah satu metode perhitungan cadangan premi adalah metode canadian yang merupakan perluasan dari metode cadangan prospektif. Faktor utama dalam perhitungan aktuaria adalah tingkat kematian yang dapat ditentukan dengan menggunakan hokum mortalitas De Moivre. Penelitian ini bertujuan untuk menentukan besarnya cadangan premi pada asuransi jiwa dwiguna dengan menggunakan metode canadian dan hukum mortalitas De Moivre. Perhitungan cadangan premi dimulai dengan menentukan peluang hidup seseorang pada jangka waktu n tahun hukum de moivre yang kemudian digunakan untuk mencari nilai asuransi, nilai anuitas awal, premi tahunan, premi modifikasi berdasarkan metode canadian, dan besarnya cadangan premi di akhir tahun ke-t. Penelitian ini dilakukan pada seorang wanita berusia 25 tahun yang mengikuti program asuransi jiwa dwiguna dengan masa pertanggungan 25 tahun dan jangka waktu pembayaran premi 23 tahun pada tingkat suku bunga 4% dengan uang pertanggunan sebesar Rp. 500.000.000. Hasil analisis menunjukkan bahwa besar cadangan premi yang diperoleh pada akhir masa pertanggungan dengan metode canadian dan hukum mortalitas De Moivre sama dengan nilai santunan yang diberikan, sehingga perusahaan asuransi siap untuk memberikan santunan sebesar yang dijanjikan kepada pemegang polis. Sedangkan pada awal masa pertanggung nilai cadangan canadian untuk asuransi jiwa dwiguna yang menerapkan hukum De Moivre menghasilkan nilai yang lebih kecil dibandingkan nilai cadangan canadian asuransi jiwa dwiguna tanpa hukum De Moivre.","PeriodicalId":400972,"journal":{"name":"Journal of Mathematics : Theory and Application","volume":"139 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122910897","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

Teorema Titik Tetap untuk Pemetaan Bernilai Himpunan pada Subset dari Ruang b-Metrik

Journal of Mathematics : Theory and Application Pub Date : 2022-11-11 DOI: 10.31605/jomta.v4i2.2019

Syamsuddin Mas'ud

引用次数: 0

MODEL MATEMATIKA PADA PENYAKIT DIABETES MELITUS DENGAN FAKTOR GENETIK DAN FAKTOR SOSIAL 糖尿病的数学模型与遗传和社会因素

Journal of Mathematics : Theory and Application Pub Date : 2021-12-31 DOI: 10.31605/jomta.v3i1.1366

Karlina Kaya', Darmawati, Darma Ekawati

引用次数: 0

ESTIMASI PARAMETER MODEL REGRESI LINIER DENGAN PENDEKATAN METODE BAYESIAN 用BAYESIAN方法对线性回归参数模型的估计

Journal of Mathematics : Theory and Application Pub Date : 2021-12-30 DOI: 10.31605/jomta.v3i2.1364

Surianti, Hikmah, Rahmawati

{"title":"ESTIMASI PARAMETER MODEL REGRESI LINIER DENGAN PENDEKATAN METODE BAYESIAN","authors":"Surianti, Hikmah, Rahmawati","doi":"10.31605/jomta.v3i2.1364","DOIUrl":"https://doi.org/10.31605/jomta.v3i2.1364","url":null,"abstract":"The method used to estimate the regression parameters in this study is the Bayes method. The steps in estimating the parameters of the linear regression model using the Bayes method are to determine the Likelihood function from the normal distribution density function, determine the Prior Non-Informative distribution from a normal distribution, then look for the Posterior distribution by switching the Prior distribution with the Likelihood function.Writing this thesis aims to determine the estimation of the parameters of the linear regression model with the Bayesian method approach. From the regression model generated by the OLS method, it was identified that there was one Outlier data. Outlier is a factor that influences parameter estimation in linear regression model. A model will be shown in an example data case by comparing the results of the Ordinary Least Square (OLS) method using R and the results of the Bayesian method using WinBUGS. It can be seen that the MSE value obtained from the Bayesian Method estimation is smaller than the MSE value obtained from the OLS Method estimate. The Mean Square Error (MSE) value obtained from the estimation of the OLS Method is 0.8469 while the Mean Square Error (MSE) value obtained from the estimation of the Bayesian MCMC Method is 0.3723. This shows that the Bayesian MCMC method is much better than the OLS method. \u0000 \u0000 ","PeriodicalId":400972,"journal":{"name":"Journal of Mathematics : Theory and Application","volume":"729 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123987652","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

APLIKASI METODE ANALISIS KOMPONEN UTAMA (AKU) DALAM MENGIDENTIFIKASI FAKTOR YANG MEMENGARUHI KEMISKINAN DI KABUPATEN/KOTA PROVINSI SULAWESI SELATAN 方法分析的主要成分(i)，确定影响苏拉威西省贫困的因素

Journal of Mathematics : Theory and Application Pub Date : 2021-12-30 DOI: 10.31605/jomta.v3i2.1222

Nurbiah Tahir, Wahidah Alwi, Khalilah Nurfadilah

{"title":"APLIKASI METODE ANALISIS KOMPONEN UTAMA (AKU) DALAM MENGIDENTIFIKASI FAKTOR YANG MEMENGARUHI KEMISKINAN DI KABUPATEN/KOTA PROVINSI SULAWESI SELATAN","authors":"Nurbiah Tahir, Wahidah Alwi, Khalilah Nurfadilah","doi":"10.31605/jomta.v3i2.1222","DOIUrl":"https://doi.org/10.31605/jomta.v3i2.1222","url":null,"abstract":"Penelitian ini membahas tentang terjadinya kasus kemiskinan di provinsi Sulawesi Selatan yang terus mengalami fluktuasi setiap tahunnya. Berdasarkan hasil SUSENAS Maret 2019, dibandingkan pada Maret 2018 yang mencapai 792.640 jiwa, persentase penduduk miskin turun 0,37% menjadi 767.800 jiwa. Karena kemiskinan bersifat multidimensi dan banyak faktor yang melatarbelakanginya, maka dilakukan penelitian ini dengan menggunakan metode Analisis Komponen Utama (AKU) untuk mengidentifikasi faktor-faktor tersebut. Analisis Komponen Utama (AKU) merupakan metode yang dapat menjadikan variabel penelitian ke dimensi yang lebih kecil tanpa menghilangkan informasi dari variabel asalnya. Adapun variabel yang di analisis yaitu Jumlah Penduduk , Tidak Tamat SD, SLTP, SLTA , Angka Melek Huruf (15-24th) , Angka Melek Huruf (15-55th) , Angka Partisipasi Sekolah (7-12th) , Angka Partisipasi Sekolah (13-15th) , Tidak Bekerja , Bekerja di Sektor Informal , Bekerja di Sektor Formal , Bekerja di Sektor Pertanian , Bekerja Bukan di Sektor Pertanian , Pengeluaran Konsumsi Makanan , Air Layak , Jamban Sendiri , Menerima Beras Miskin dan Sumber Penerangan Utama . Hasil penelitian menunjukkan bahwa terdapat 8 komponen yang terbentuk dari 18 variabel yang di analisis, yaitu faktor standar/kualitas kehidupan, kualitas pendidikan, ekonomi, pengangguran, lapangan pekerjaan, pola pikir, putus sekolah, serta kepadatan penduduk","PeriodicalId":400972,"journal":{"name":"Journal of Mathematics : Theory and Application","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131292975","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

Syarat Perlu dan Syarat Cukup Seminear-ring Komutatif Terhadap Operasi Perkalian

Journal of Mathematics : Theory and Application Pub Date : 2021-12-30 DOI: 10.31605/jomta.v3i2.1390

Meryta Febrilian Fatimah -, Ahmad Ansar, Raswan

引用次数: 0

PEMODELAN MATEMATIKA SEIqInqR PADA PENYEBARAN COVID-19 SEIqInqR的数学建模在COVID-19的部署

Journal of Mathematics : Theory and Application Pub Date : 2021-12-30 DOI: 10.31605/jomta.v3i1.1375

Masita, Darmawati, Fardinah

引用次数: 0