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All Journal Pythagoras: Jurnal Matematika dan Pendidikan Matematika Statistika JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Jurnal Gaussian Desimal: Jurnal Matematika Syntax Literate: Jurnal Ilmiah Indonesia Journal of Data Analysis InPrime: Indonesian Journal Of Pure And Applied Mathematics Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Jurnal Statistika dan Aplikasinya Premium: Insurance Business Journal Jurnal Riset Statistika Pattimura Proceeding : Conference of Science and Technology Bandung Conference Series: Statistics RAGAM: Journal of Statistics and Its Application
Aceng Komarudin Mutaqin
Program Studi Statistika Universitas Islam Bandung
Agriculture, Biological Sciences & Forestry Humanities Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Industrial & Manufacturing Engineering Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Mathematics Physics Public Health Social Sciences Other

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PEMODELAN KREDIBILITAS BÜHLMANN-STRAUB UNTUK DATA FREKUENSI KLAIM BERDISTRIBUSI POISSON-SUJATHA Putri, Evania; Mutaqin, Aceng Komarudin
RAGAM: Journal of Statistics & Its Application Vol 4, No 1 (2025): RAGAM: Journal of Statistics & Its Application
Publisher : Universitas Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/ragam.v4i1.14679

Abstract

Motor vehicle insurance provides compensation for damage or loss incurred by motor vehicles. In determining credibility values, claim frequency data is required. Sometimes, this claim frequency data contains overdispersion issues, necessitating alternative methods for modeling claim frequency using a mixture distribution. The mixture distribution used in this research is the Poisson-Sujatha mixture distribution. The credibility method employed is an advancement of the Bühlmann method, known as the Bühlmann-Straub credibility method. The BühlmannStraub credibility model has been successfully applied in various insurance contexts, previously used in modeling with the Negative Binomial-Lindley distribution in 2023, yielding significant results. Before applying the credibility model, the parameters of the PoissonSujatha distribution are estimated using the maximum likelihood estimation method. The goodness-of-fit test used in this research is the chi-squared goodness-of-fit test. The research data consists of secondary claim frequency data for motor vehicle insurance recorded by PT. X in Category 1 (passenger transport with coverage values between Rp 0 to Rp 125,000,000) in Region 2 (DKI Jakarta, West Java, and Banten) for 2018 and 2019. Based on the application of this claim frequency data, the Bühlmann-Straub credibility factor is close to 1, indicating that the processed data has a significant impact on estimating the average future claim frequency. The estimated average motor insurance claim frequency for Indonesia, Category 1, Region 2, in 2020 is 0.0041, meaning that if there are 10,000 insurance policyholders in 2020, approximately 41 partial loss claims are expected.
Co-Authors Abdul Kudus Agung Muhammad Fikri Agus Yodi Gunawan Ainani Tajriyan Muntaharridwan Ajeng Mega Pratiwi Alfan Siam Nuri Andi Setia Nugraha Anggis Sagitarisman Anneke Iswani A. Anneke Iswani Ahmad Asep Syaifulhadi Aunuddin Aunuddin Avin Rahmadian Budi Susetyo Danang Setiawan Disa Fauzana Dumaria R. Tampubolon Dwi Sekar Kania Fachry Abda El Rahman Fakhriel Muhammad Hafizh Fauziah Rahmayanti Fauziah Rahmayanti Fera Shintarini Harmonia Kamil Hendrik Wijayanto Ikbar Farid Maulana Indah Permatasari Indah Permatasari Inne Marliani Khalimatus Sa'diah Khalis Syahril Suryana Kiki Yogaswara Komarudin Komarudin Lia Rahayu Linda Maliani Lisnur Wachidah Lukman Nul Hakim M Dziqri Nur Rohiim M Dziqri Nur Rohiim M. Wildan Bin H.M. Yahya Maharani, Aliya Mardianto Karim Mardianto Karim Maulana Ilham Pratama Maya Dian Wati Mira Zakiah Rahmah Mohammand Sobri Muhammad Iqbal Fauzi Muhammad Rifqi Hendriawan Muhammad Rizq Nafisyah Alam Muhammad Rizq Nafisyah Alam Naufal Fajar Nina Fitriyati Nur Rofiq Azijah NURTITI SUNUSI Nusar Hajarisman Puput Aryanti Putri, Evania Raisha Shahelia Nastiti Resyi Pandini Safitri Riki Kurniawan Rillifa Iris Adisti Roosdiana N.R. Sa'diah, Khalimatus Sabda Iman Dani Safira Pratiwi Sheli Andriani Sinta Asanah Siti Magfiratul Hasanah Sutawanir Darwis Suwanda Suwanda Syahla Anisah Tanti Susanti Wulan Jati Nuray Yayat Karyana Yhupi Praga Adri Yusuf Fahrizal