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小肥肥 · 2022年01月09日

讲义上说Sample size上升导致极值 趋近 GEV分布 ,和Threshold大小有什么关系?threshold是自GPD里面才有吧。 谢谢

NO.PZ2018122701000028

问题如下:

According to extreme value theory (EVT), when examining distributions of losses exceeding a threshold value, which of the following is correct?

选项:

A.

To apply EVT, the underlying loss distribution must be either normal or lognormal.

B.

The threshold value is typically chosen near the estimated mean of the underlying loss distribution.

C.

The number of exceedances decreases as the threshold value decreases, which causes the reliability of the parameter estimates to increase.

D.

As the threshold value is increased, the distribution of exceedances converges to a generalized Pareto distribution.

解释:

D is correct.

考点 Extreme Value

解析 A key foundation of EVT is than as the threshold value is increased, the distribution of loss exceedances converges to a generalized Pareto distribution. Assuming the threshold is high enough, excess losses can be modeled using the Generalized Pareto distribution.

To apply EVT, the underlying loss distribution can be any of the commonly used distributions: normal, lognormal, t, etc., and will usually be unknown.

Choosing the threshold value near the estimated mean of the underlying loss distribution is arbitrary and this method is not typically employed.

As the threshold value is decreased, the number of exceedances increases.

麻烦解释一下,谢谢

1 个答案

DD仔_品职助教 · 2022年01月10日

嗨,从没放弃的小努力你好:


同学你好,题目问的是根据EVT,损失超过阈值,下面说法那个是正确的?

题目没有提到sample size的问题,不是下面截图的考点:

考察的是下面这张截图:

阈值要足够高才能,损失个数少,才能趋近于GPD.

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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