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A Dependence Model for Unbalanced Crop Insurance Indemnity Amounts.
紀錄類型:
書目-語言資料,手稿 : Monograph/item
正題名/作者:
A Dependence Model for Unbalanced Crop Insurance Indemnity Amounts./
作者:
Lin, Yi-Hsuen.
面頁冊數:
1 online resource (43 pages)
附註:
Source: Masters Abstracts International, Volume: 85-02.
Contained By:
Masters Abstracts International85-02.
標題:
Statistics. -
電子資源:
click for full text (PQDT)
ISBN:
9798380147491
A Dependence Model for Unbalanced Crop Insurance Indemnity Amounts.
Lin, Yi-Hsuen.
A Dependence Model for Unbalanced Crop Insurance Indemnity Amounts.
- 1 online resource (43 pages)
Source: Masters Abstracts International, Volume: 85-02.
Thesis (M.S.)--Michigan State University, 2023.
Includes bibliographical references
In this thesis, a copula model is constructed to estimate dependency and calculate the Value at Risk for insurance coverage under the dependence of the covered losses. The dependence model is illustrated in a three-dimensional setting to simplify the complex theoretical functions and provide an accessible introduction to the copula model. The modeling uses the U.S. crop insurance dataset aggregated by each county level and commodity type. The composite likelihood approach helps to simplify the computation in high-dimensional problems by approximating the negative log-likelihood using bivariate components. In this study, the majorization-minimization principle is employed to estimate the parameters of the normal copula by minimizing the composite likelihood iteratively. To avoid overfitting and result in a valid correlation matrix, the L1 penalty is applied to induce sparsity and shrink irrelevant parameters toward zero. The optimal tuning parameter is selected based on the BIC score to generate a positive semi-definite correlation matrix for the result. In the Appendix of the thesis, the dependence model is extended to a high dimension. The Value at Risk computed for the fictional insurance contract in the data analysis results in a higher value when considering dependence between variables.
Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2024
Mode of access: World Wide Web
ISBN: 9798380147491Subjects--Topical Terms:
556824
Statistics.
Subjects--Index Terms:
Composite likelihoodIndex Terms--Genre/Form:
554714
Electronic books.
A Dependence Model for Unbalanced Crop Insurance Indemnity Amounts.
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In this thesis, a copula model is constructed to estimate dependency and calculate the Value at Risk for insurance coverage under the dependence of the covered losses. The dependence model is illustrated in a three-dimensional setting to simplify the complex theoretical functions and provide an accessible introduction to the copula model. The modeling uses the U.S. crop insurance dataset aggregated by each county level and commodity type. The composite likelihood approach helps to simplify the computation in high-dimensional problems by approximating the negative log-likelihood using bivariate components. In this study, the majorization-minimization principle is employed to estimate the parameters of the normal copula by minimizing the composite likelihood iteratively. To avoid overfitting and result in a valid correlation matrix, the L1 penalty is applied to induce sparsity and shrink irrelevant parameters toward zero. The optimal tuning parameter is selected based on the BIC score to generate a positive semi-definite correlation matrix for the result. In the Appendix of the thesis, the dependence model is extended to a high dimension. The Value at Risk computed for the fictional insurance contract in the data analysis results in a higher value when considering dependence between variables.
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