Dependence uncertainty and Frechet problems

来源 :2015 Peking University Youth Probability Forum(2015年北京大学青年概率 | 被引量 : 0次 | 上传用户:zumei2003
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  Modeling inter-dependence among multiple risks often faces statistical as well as modeling challenges, with considerable uncertainty arising naturally. In this talk, we present the framework of risk aggregation with dependence uncertainty, its currently expanding research developments, and open questions. We discuss selected mathematical problems which may include: mixability, asymptotic shape of the aggregation, model uncertainty of risk measures, extreme risk scenarios, and a connection with extreme-value theory.
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