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Vina Apriliani
Universitas Islam Negeri Ar-Raniry Banda Aceh
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Model Kredibilitas Bühlmann dengan Frekuensi Klaim Berdistribusi Binomial Negatif-Lindley Ikhsan Maulidi; Vina Apriliani
Limits: Journal of Mathematics and Its Applications Vol. 18 No. 1 (2021): Limits: Journal of Mathematics and Its Applications Volume 18 Nomor 1 Edisi Me
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

In this article, we develop a parametric Bühlmann credibility model with the frequency of claims that are assumed following the Negative Binomial- Lindley distribution. The Estimator of the quantities in the Bühlmann model have provided for this distribution using methods commonly used in the greatest accuracy credibility. The premium estimation that resulted in this model is a linear combination of the past claims which gives a minimum error square. The momen function of the Binomial-Lindley distribution is very helpful to determine these Bühlmann’s quantities. Application simulations of this model are also given for simple data claims along with the algorithm. However, it gives an appreciable credibility factor value, this model requires many past claims to get a good premium estimation.
Co-Authors Alim Misbullah Alindo, Sesda Arif, Muhammad Rizki Budi Azhari Chintya Hayati Fahrul Razi Farid, Fajri Febriana, Diana Fredi Ganda Putra Hafnani Hafnani Herlina Herlina Ikhsan Maulidi Ikhsan Maulidi Ikhsan Maulidi Ikhsan Maulidi Johan Yunus Johan Yunus Juanda Kelana Putra M. Faisi Ikhwali M. Yogi Riyantama Isjoni Mahmudi Mahmudi Mahyus Ihsan Maula, Frida Yassar Maulidi, Ikhsan Muhamad Syazali Muhammad Abrar Muliawan, Nadia Fitri Mulyeni, Sri Nova Novita, Windi Novika, Fanny Nur Oktaviana, Shaqia Nuralam Syamsuddin Nurmaulidar Nurmaulidar Radhiah Radhiah Restika Putri Rini Oktavia Rofiqul Umam Siti Rusdiana Suardi Nur Syazali, Muhammad Uswah Uswah Valentika, Nina Werry Febrianti Wibowo, Bonno Andri Yunus, Johan Zahnur, Zahnur Zairisma Zairisma Zairisma, Zairisma