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Large deviations for sums of claims in a general renewal risk model with the regression dependent structure
The regression dependence is a practical dependent structure which provides a good mechanism to describe non-life insurance businesses, and further allows applications in various areas. In this paper, we investigate large deviations for random sums of extended negatively dependent random variables i...
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Published in: | Statistics & probability letters 2020-10, Vol.165, p.108857, Article 108857 |
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description | The regression dependence is a practical dependent structure which provides a good mechanism to describe non-life insurance businesses, and further allows applications in various areas. In this paper, we investigate large deviations for random sums of extended negatively dependent random variables in the general renewal risk model with the regression size-dependent structure. For heavy-tailed distributions of consistently-varying tailed, we obtain the large deviation formulas. |
doi_str_mv | 10.1016/j.spl.2020.108857 |
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In this paper, we investigate large deviations for random sums of extended negatively dependent random variables in the general renewal risk model with the regression size-dependent structure. 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In this paper, we investigate large deviations for random sums of extended negatively dependent random variables in the general renewal risk model with the regression size-dependent structure. For heavy-tailed distributions of consistently-varying tailed, we obtain the large deviation formulas.</abstract><pub>Elsevier B.V</pub><doi>10.1016/j.spl.2020.108857</doi></addata></record> |
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subjects | Consistently-varying tailed Large deviations Regression dependence Renewal risk model |
title | Large deviations for sums of claims in a general renewal risk model with the regression dependent structure |
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