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jjjzzz · 2020年02月09日

问一道题:NO.PZ2016070202000007

问题如下:

Extreme value theory (EVT) provides valuable insight about the tails of return distributions. Which of the following statements about EVT and its applications is incorrect?

选项:

A.

The peaks over threshold (POT) approach requires the selection of a reasonable threshold, which then determines the number of observed exceedances; the threshold must be sufficiently high to apply the theory, but sufficiently low so that the number of observed exceedances is a reliable estimate.

B.

EVT highlights that distributions justified by the central limit theorem (e.g., normal) can be used for extreme value estimation.

C.

EVT estimates are subject to considerable model risk, and EVT results are often very sensitive to the precise assumptions made.

D.

Because observed data in the tails of distribution is limited, EV estimates can be very sensitive to small sample effects and other biases.

解释:

EVT estimates are subject to estimation risk, so statement c. and d. are correct. However, EVT does not apply the central limit theorem (CLT), which states that the average (as opposed to the tail) of i.i.d. random variables is normal.

请再解释一下C为什么错

2 个答案

品职答疑小助手雍 · 2020年02月09日

同学你好,极值理论主要研究的是极值部分,这部分数据的分布比较复杂多变,这种数据结构一般不能满足中心极限定理(CLT的假设基础对于这种极值分布不成立)。所以B错

jjjzzz · 2020年02月09日

不是 是B为什么错

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NO.PZ2016070202000007 问题如下 Extreme value theory (EVT) provis valuable insight about the tails of return stributions. Whiof the following statements about EVT anits applications is incorrect? A.The peaks over threshol(POT) approarequires the selection of a reasonable threshol whithen termines the number of observeexceences; the thresholmust sufficiently high to apply the theory, but sufficiently low so ththe number of observeexceences is a reliable estimate. B.EVT highlights thstributions justifiethe centrlimit theorem (e.g., normal) cusefor extreme value estimation. C.EVT estimates are subjeto consirable mol risk, anEVT results are often very sensitive to the precise assumptions ma. Because observeta in the tails of stribution is limite EV estimates cvery sensitive to small sample effects another biases. EVT estimates are subjeto estimation risk, so statement an are correct. However, EVT es not apply the centrlimit theorem (CLT), whistates ththe average (opposeto the tail) of i.i. ranm variables is normal. 请翻译并详解B和C,谢谢老师!

2023-05-25 10:04 1 · 回答

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2021-05-10 09:48 1 · 回答

     C为什么正确,该陈述在课件中哪个地方?

2019-09-11 14:23 1 · 回答