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金融民工阿聪 · 2021年03月31日

关于阈值

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.

阈值的选择,其实就没有说特定想选在哪比较好对吗,只有说大概看起来还行就可以了,不一定说要在中间?

1 个答案
已采纳答案

品职答疑小助手雍 · 2021年03月31日

嗨,努力学习的PZer你好:


在不知道具体数据和结构的情况下只看理论连“中间”也无法定义的,只能说阈值上升下降会带来的影响是什么样的。

考试也不会专门考一道具体选择阈值的题目。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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NO.PZ2018122701000028

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