The Cox Proportional Hazard Model on Life Insurance Premium Payments Analysis

Nor  Amalliyah

doi:10.20956/j.v20i2.32046

Authors

Nor Amalliyah Institut Alif Muhammad Imam Syafi'i

DOI:

https://doi.org/10.20956/j.v20i2.32046

Keywords:

Cox Proportional Hazard, Premium, Life Insurance

Abstract

Insurance premiums are a sum of money that must be paid by participants of life insurance programs to insurance companies to compensate for losses suffered by participants. The amount of the premium must be in accordance with the sum insured to be received, so that the insurance company has enough money to replace the losses suffered by its customers. In determining the premiums also should not be too large, because it can burden the insurance program customers. Therefore it is necessary to do an analysis to find out the factors (gender, age, amount of coverage, occupation, method of payment of premiums, amount of premium, and type of insurance product) that affect the term of payment ability by the customer. The analysis conducted is using the Cox Proportional Hazard Model. The results obtained in this study are factors that have a significant effect on the period of ability to pay premiums, namely the amount of sum insured, profession and types of insurance product

References

Arif, M. N. R. A., 2012. Lembaga Keuangan Syariah: Suatu Kajian Teoritis Praktis. Bandung: CV. Pustaka Setia.

Latumaesari, J. 2011. Bank dan Lembaga Keuangan Lain. Jakarta: Salemba Empat.

Guntara, D., 2016. Asuransi dan Ketentuan-Ketentuan Hukum yang Mengaturnya. Jurnal Justisi Ilmu Hukum, Vol. 1, No. 1, 29–46.

Darmawi, H., 2006. Manajemen Asuransi. Jakarta: Bumi Aksara.

Iriana, N., Purnamasari, I., and Nasution, Y. N., 2019. Penentuan Cadangan Premi Asuransi Jiwa Seumur Hidup Menggunakan Metode Zillmer. Jurnal Matematika, Statistika dan Komputasi, Vol. 16, No. 2, 219–225.

Dira, A. E., Satyahadewi, N., and Perdana, H., 2022. Metode Non-Linear Least Square Pada Distribusi Makeham Dalam Penentuan Nilai Premi Asuransi Jiwa Dwiguna. Buletin Ilmiah Math. Stat. dan Terapannya (Bimaster), Vol. 11, No. 5, 759–766.

Putri, I. A. G. K., Dharmawan, K., and Tastrawati, N. K. T., 2017. Perhitungan Harga Premi Asuransi Pertanian Yang Berbasis Indeks Curah Hujan Menggunakan Metode Black Scholes. E-Jurnal Matematika, Vol. 6, No. 2, 161–167.

Yaqzan, M. W., Mufida, A., and Ferezagia, D., 2020. Perbandingan Empat Jalur Distribusi Pada Pemasukan Premi Asuransi. Jurnal Sosial Humaniora Terapan, Vol. 3, No. 1, 64–72.

Qomaria, T., Fatekurohman, M., and Anggraeni, D., 2019. Aplikasi Model Cox Proportional Hazard pada Pasien Stroke RSD Balung Kabupaten Jember. Indonesian Journal of Applied Statistics, Vol. 2, No. 2, 94–112.

Aditya, D., Kho, J., and Nababan, T. P., 2014. Premi Asuransi Jiwa Gabungan Berjangka dengan Asumsi Gompertz. JOM FMIPA, Vol. 1, No. 2, 85–91,.

Fajarini, F. A., and Fatekurohman, M., 2018. Analisis Premi Asuransi Jiwa Menggunakan Model Cox Proportional Hazard. Indonesian Journal of Applied Statistics, Vol. 1, No. 2, 88–99.

Dukalang, H. H., 2019. Analisis Regresi COX Proportional Hazard pada Pemodelan Waktu Tunggu Mendapatkan Pekerjaan. Jambura Journal of Mathematics, Vol. 1, No. 1, 36–42.

Lee, E. T., and Wang J. W., 2003. Statictical Methods for Survival Data Analysis, Third Edition. New Jearsey: John Wiley & Sons, Inc.

Vitriani, A. N. and Kusumawati, R., 2017. Model Cox Extended dengan g(t)=1 untuk Mengatasi Nonproportional Hazard pada Kejadian Bersama. AdMathEdu, Vol. 7, No. 1, 27–39.

Xinxin, 2011. A Study Of Ties And Time Varying Covariates In Cox Proportional Hazard Model. The University Of Guelph.

Kutner, M. H., Nachtsheim, C. J., and Neter, J., 2004. Applied Linier Regression Models, Fourth Edition. New York: McGraw-Hill Companies, Inc.