Research on Revenue Insurance Premium Ratemaking of Jujube Based on Copula-Stochastic Optimization Model

During the process of jujube planting, there are not only natural risks caused by natural disasters but also market risks caused by price factors. In the study, firstly, wavelet analysis method was used to stabilize the jujube yield per unit area and the jujube price from 1997 to 2018 in Aksu region...

Full description

Saved in:
Bibliographic Details
Main Authors: Li-Mei Qi, Ruo-Yu Yao, Xing-Zhe Zhang, Yu-Jing Zhang, Xiao-Yin Wang, Jian-Ping Tao, Jia-Ming Zhu
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/9959638
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832546823621836800
author Li-Mei Qi
Ruo-Yu Yao
Xing-Zhe Zhang
Yu-Jing Zhang
Xiao-Yin Wang
Jian-Ping Tao
Jia-Ming Zhu
author_facet Li-Mei Qi
Ruo-Yu Yao
Xing-Zhe Zhang
Yu-Jing Zhang
Xiao-Yin Wang
Jian-Ping Tao
Jia-Ming Zhu
author_sort Li-Mei Qi
collection DOAJ
description During the process of jujube planting, there are not only natural risks caused by natural disasters but also market risks caused by price factors. In the study, firstly, wavelet analysis method was used to stabilize the jujube yield per unit area and the jujube price from 1997 to 2018 in Aksu region, Xinjiang, China. Secondly, EasyFit software was used to fit the distribution functions of yield per unit area and price, respectively. Thirdly, the optimal Copula function which connects the marginal distribution functions and its joint distribution function was selected with the principle of “the minimum square distance from the empirical Copula function.” Finally, taking the premium rate and the insurance amount as two decision variables, the farmer’s risk minimization as the objective function, around the four constraints of functions and role of insurance, the nonspeculative nature of insurance, the sustainability of insurance, and the moral hazard factors and the farmers’ willing to participate in insurance, the Copula-stochastic optimization model was set up to determine the premium rate of jujube revenue insurance in Aksu region.
format Article
id doaj-art-994e4c5c4c2e43d8a493363353e3cc50
institution Kabale University
issn 2314-4629
2314-4785
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-994e4c5c4c2e43d8a493363353e3cc502025-02-03T06:47:04ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99596389959638Research on Revenue Insurance Premium Ratemaking of Jujube Based on Copula-Stochastic Optimization ModelLi-Mei Qi0Ruo-Yu Yao1Xing-Zhe Zhang2Yu-Jing Zhang3Xiao-Yin Wang4Jian-Ping Tao5Jia-Ming Zhu6College of Economics and Management, Huazhong Agricultural University, Wuhan 430070, ChinaSchool of Mathematical Sciences, Tiangong University, Tianjin 300387, ChinaSchool of Computer Science and Technology, Tiangong University, Tianjin 300387, ChinaSchool of Mathematical Sciences, Tiangong University, Tianjin 300387, ChinaSchool of Mathematical Sciences, Tiangong University, Tianjin 300387, ChinaCollege of Economics and Management, Huazhong Agricultural University, Wuhan 430070, ChinaSchool of Statistics and Applied Mathematics, Anhui University of Finance & Economics, Bengbu 233030, ChinaDuring the process of jujube planting, there are not only natural risks caused by natural disasters but also market risks caused by price factors. In the study, firstly, wavelet analysis method was used to stabilize the jujube yield per unit area and the jujube price from 1997 to 2018 in Aksu region, Xinjiang, China. Secondly, EasyFit software was used to fit the distribution functions of yield per unit area and price, respectively. Thirdly, the optimal Copula function which connects the marginal distribution functions and its joint distribution function was selected with the principle of “the minimum square distance from the empirical Copula function.” Finally, taking the premium rate and the insurance amount as two decision variables, the farmer’s risk minimization as the objective function, around the four constraints of functions and role of insurance, the nonspeculative nature of insurance, the sustainability of insurance, and the moral hazard factors and the farmers’ willing to participate in insurance, the Copula-stochastic optimization model was set up to determine the premium rate of jujube revenue insurance in Aksu region.http://dx.doi.org/10.1155/2021/9959638
spellingShingle Li-Mei Qi
Ruo-Yu Yao
Xing-Zhe Zhang
Yu-Jing Zhang
Xiao-Yin Wang
Jian-Ping Tao
Jia-Ming Zhu
Research on Revenue Insurance Premium Ratemaking of Jujube Based on Copula-Stochastic Optimization Model
Journal of Mathematics
title Research on Revenue Insurance Premium Ratemaking of Jujube Based on Copula-Stochastic Optimization Model
title_full Research on Revenue Insurance Premium Ratemaking of Jujube Based on Copula-Stochastic Optimization Model
title_fullStr Research on Revenue Insurance Premium Ratemaking of Jujube Based on Copula-Stochastic Optimization Model
title_full_unstemmed Research on Revenue Insurance Premium Ratemaking of Jujube Based on Copula-Stochastic Optimization Model
title_short Research on Revenue Insurance Premium Ratemaking of Jujube Based on Copula-Stochastic Optimization Model
title_sort research on revenue insurance premium ratemaking of jujube based on copula stochastic optimization model
url http://dx.doi.org/10.1155/2021/9959638
work_keys_str_mv AT limeiqi researchonrevenueinsurancepremiumratemakingofjujubebasedoncopulastochasticoptimizationmodel
AT ruoyuyao researchonrevenueinsurancepremiumratemakingofjujubebasedoncopulastochasticoptimizationmodel
AT xingzhezhang researchonrevenueinsurancepremiumratemakingofjujubebasedoncopulastochasticoptimizationmodel
AT yujingzhang researchonrevenueinsurancepremiumratemakingofjujubebasedoncopulastochasticoptimizationmodel
AT xiaoyinwang researchonrevenueinsurancepremiumratemakingofjujubebasedoncopulastochasticoptimizationmodel
AT jianpingtao researchonrevenueinsurancepremiumratemakingofjujubebasedoncopulastochasticoptimizationmodel
AT jiamingzhu researchonrevenueinsurancepremiumratemakingofjujubebasedoncopulastochasticoptimizationmodel