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Pure Premium Calculation of Rice Farm Insurance Scheme in Indonesia Based on The 4-Parameter Beta Mixture Distribution
Aceng Komarudin Mutaqin, Yayat Karyana, Siti Sunendiari

Department of Statistics, Bandung Islamic University


Abstract

The Indonesian Government introduced rice farm insurance scheme (Asuransi Usaha Tani Padi – AUTP program) to protect rice farm from loss caused by flood, drought and pest and disease infestations. It has been discussed the method to calculate pure premium of the rice farm insurance scheme in Indonesia with assume that the distribution of rice yield data is normal distribution, gamma distribution, or normal mixture distribution. The normal distribution can be used for the case of distribution of rice yield data in the form of symmetry. The gamma distribution can be used for the case of distribution of rice yield data in the form of skewed to the right or positively skewed. In addition, the normal and gamma distributions are categorized as unimodal distributions. It has also been discussed the method of calculating pure premium of the rice farm insurance scheme in Indonesia with the assumption that the rice yield data is normal mixture distribution. The normal mixture distribution can be categorized as multimodal distribution. Characteristic of the normal mixture distribution is suitable for rice yield data in Indonesia that contain rice yield data from several provinces. On the other hand it is also known that the 4-parameter beta mixture distribution can be applied to rice yield data in Indonesia. This distribution is more flexible than the normal mixture distribution in terms of the tail shape of the distribution. In this paper, pure premium calculation method of the rice farm insurance scheme in Indonesia is formulated through a parametric statistical approach with assume that the distribution of rice yield data is 4-parameter beta mixture distribution. The proposed method is applied to the rice yield data in The Yogyakarta Special Region province. The result show that the pure premiums is IDR 214.183/hectare/planting season.

Keywords: rice farm insurance scheme; pure premium; multimodal distribution; normal mixture distribution; 4-parameter beta mixture distribution

Topic: Statistics

Link: https://ifory.id/abstract/tUmpPYxN8zk7

Conference: Science and Technology Research Symposium (SIRES 2019)

Plain Format | Corresponding Author (Aceng Komarudin Mutaqin)

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