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One-Factor Lévy-Frailty Copulas with Inhomogeneous Trigger Rates

机译:单因素Lévy-freailty Copulas,具有不均匀的触发率

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摘要

A new parametric family of high-dimensional, non-exchangeable extremevalue copulas is presented. The construction is based on the Lévy-frailty construction and stems from a subfamily of the Marshall-Olkin distribution. In contrast to the classical Lévy-frailty construction, non-exchangeability is achieved by inhomogeneous trigger-rate parameters. This family is studied with respect to its distributional properties and a sampling algorithm is developed. Moreover, a new estimator for its parameters is given. The estimation strategy consists in minimizing the mean squared error of the underlying Bernstein function and certain strongly consistent estimates thereof.
机译:提出了一个新的参数家庭的高维,不可更换的极值Copulas。该建筑基于Lévy-freailty建筑,源于Marshall-Olkin分布的亚家族。与经典的levy-freailly结构相反,通过不均匀的触发速率参数实现了不可交换性。对于其分布性能研究了该系列,并且开发了采样算法。此外,给出了其参数的新估计器。估计策略包括最小化底层伯尔尼斯坦函数的平均平方误差以及其特定的强烈估计。

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