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fanfan1989 · 2023年02月20日

请问选项D

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.


As the threshold value is increased, the distribution of exceedances converges to a generalized Pareto distribution.这是本题的正确答案


讲义里面好像没提到这句,讲义写的是,

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



所以,这两句话都正确吗


1 个答案

pzqa27 · 2023年02月21日

嗨,从没放弃的小努力你好:


正确的,并且讲义上有这句话,GPD是简写

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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