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All Journal Media Statistika Kubik Journal of Science and Applicative Technology Jurnal Cendekia : Jurnal Pendidikan Matematika Variance : Journal of Statistics and Its Applications KUBIK: Jurnal Publikasi Ilmiah Matematika Griya Journal of Mathematics Education and Application Binawan Student Journal Smart Society: Community Service and Empowerment Journal RENATA Jurnal Pengabdian Masyarakat Kita Semua JPMB Parahita Indonesian Journal of Applied Mathematics Jurnal KALANDRA TeknoKreatif: Jurnal Pengabdian kepada Masyarakat
Yulita, Tiara
Institut Teknologi Sumatera
Agriculture, Biological Sciences & Forestry Humanities Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Health Professions Languange, Linguistic, Communication & Media Materials Science & Nanotechnology Mathematics Mechanical Engineering Medicine & Pharmacology Nursing Physics Public Health Social Sciences Other

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Journal : Variance : Journal of Statistics and Its Applications

 1 
PENENTUAN PREMI MURNI DI KABUPATEN KEPAHIANG PROVINSI BENGKULU DENGAN MEMPERHITUNGKAN PELUANG KEJADIAN GEMPA BUMI DAN RASIO KERUSAKAN BANGUNAN Tiara Yulita; Chaterine Theresia Lubis; Agus Sofian Eka Hidayat
VARIANCE: Journal of Statistics and Its Applications Vol 5 No 2 (2023): VARIANCE: Journal of Statistics and Its Applications
Publisher : Statistics Study Programme, Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/variancevol5iss2page147-158

Abstract

Indonesia is a country that is very vulnerable to earthquakes, one of which is in Bengkulu Province, especially Kepahiang Regency. To deal with risks or losses caused by earthquakes, insurance can be purchased. Therefore, in this study, earthquake insurance premiums will be determined by taking into account the probability of an earthquake occurring and the ratio of damage to buildings in Kepahiang Regency. The PSHA (Probabilistic Seismic Hazard Analysis) method is used to determine the probability of an earthquake occurring. In the PSHA process, earthquake data will be collected and analyzed to identify earthquake sources, characterize earthquake sources, and calculate earthquake hazard (the probability of an earthquake). Damage data on buildings will be processed to obtain a ratio of building damage. After that, a pure premium will be obtained, by multiplying the EADR (Expected Annual Damage Ratio) value with the sum insured of the building, where EADR is the estimated level of annual damage due to earthquakes in an area
PENENTUAN PREMI MURNI DARI DATA KLAIM ASURANSI KENDARAAN RODA EMPAT DENGAN JENIS PERLINDUNGAN COMPREHENSIVE Yulita, Tiara; Patricia, Mitha; Hidayat, Agus Sofian Eka
VARIANCE: Journal of Statistics and Its Applications Vol 6 No 1 (2024): VARIANCE: Journal of Statistics and Its Applications
Publisher : Statistics Study Programme, Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/variancevol6iss1page75-86

Abstract

Produk asuransi kendaraan bermotor sudah banyak digunakan oleh banyak orang karena semakin banyak yang membutuhkan untuk meminimalkan risiko yang didapat oleh pihak tertanggung. Sehingga pihak tertanggung perlu membayarkan kewajiban berupa premi serta mengikuti syarat dan ketentuan yang telah disepakati bersama sebelumnya, untuk mendapatkan haknya berupa pembayaran klaim ketika terjadi suatu kejadian yang merugikan tertanggung. Besarnya premi dapat dilihat dari berbagai faktor seperti jenis perlindungannya yaitu Total Loss Only dan Comprehensive, usia kendaraan, riwayat klaim sebelumnya, dan faktor-faktor lainnya. Pada penelitian ini perhitungan yang dilakukan adalah perhitungan premi yang menggunakan data riwayat klaim dari asuransi kendaraan roda empat periode 2020-2022 dengan jenis perlindungan comprehensive dengan menggunakan metode compound model. Dimana data banyak klaim mengikuti model distribusi Negative Binomial, dan data besar klaim mengikuti model distribusi Lognormal. Selanjutnya nilai ekspektasi dari kedua distribusi ini akan dikalikan untuk menentukan premi murni dari asuransi kendaraan roda empat.
COMPARISON OF THE CHAIN LADDER AND BORNHOUTTER-FERGUSON METHODS IN CALCULATING CLAIM RESERVES FOR REINSURANCE COMPANY IN INDONESIA Yulita, Tiara; Julianty, Dila Tirta; Aprilia, Inaya Sathrani; Inayah, Larasati Nurul
VARIANCE: Journal of Statistics and Its Applications Vol 7 No 2 (2025): VARIANCE: Journal of Statistics and Its Applications
Publisher : Statistics Study Programme, Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/variancevol7iss2page155-166

Abstract

In the insurance industry, calculating claims reserves plays a crucial role in managing both risk and the financial stability of an insurance company. When a claim is filed, the insurer must allocate a reserve fund to anticipate potential future losses. In general insurance, claim settlements are often not completed immediately because there is usually a time gap between the occurrence of an incident and the reporting of the claim. Unresolved claims create liabilities or obligations for the insurance company. These allocated funds are referred to as claim reserves, which are generally categorized into two types: Incurred but Not Reported (IBNR) and Reported but Not Settled (RBNS). This research focuses on determining estimates of claim reserves using the Chain Ladder and Bornhuetter-Ferguson methods for loss insurance data for the property business class of reinsurance companies in Indonesia for the period 2011 to 2021. The results show that the claims reserves for each method are IDR 2,499,456,710,993 and IDR 2,266,000,657,647 with MAPE value of 1.38% and 2.10%. The results of the MAPE value calculation show that the claim reserves estimate using the Chain Ladder method is better than the Bornhuetter-Ferguson method.
Co-Authors Abda Abda Adhitya Ronnie Effendie, Adhitya Ronnie Aditya Rahman Agus Irawan Agus Sofian Eka Hidayat Agus Sofian Eka Hidayat Alfian, Muhammad Nuril Andirasdini, Indah Gumala Aprilia, Inaya Sathrani Ayu Sofia Azzanina, Nanda Baiti, Putri Isnaini Cahyaning Berliana Ratam, Aldila Nur Indah Chaterine Theresia Lubis Dani Al Mahkya Dewi, Karina Sylfia Dila Tirta Julianty Divira Iga Firdianti Dwi Mahrani Fitriawati , Andi Fuji Lestari Gilang Primajati Gustina K. S, Annisa Hevita Hardi Suyitno Hidayat, Agus Sofian Eka Inayah, Larasati Nurul Irfan, Miftahul Irwan, Sri Efrinita Lailani, Ade Lestari, Yushinta Cahya Listiani, Amalia Madonna, Nora Maharani, Khairunnisa Manurung, Chintya Carissa Marisa . Mt, Ma’rufah Hayati Muthoharoh, Luluk Nasrullah Patricia, Mitha Rassiyanti, Linda Rivai, Muklas Rosni, Rosni Sasongko, Dharu Cahyoaji Simanjuntak, Erica Grace Siregar, Abian Avisena Sitorus, Kristiani Sugiman Sugiman Yuliana Yuliana