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luojy · 2024年04月19日

高频数据对于相关性估计的改进到底改进在哪里呢?

NO.PZ2022122601000045

问题如下:

Board member Arnold Brown asks O'Reilly about the use ofhigh-frequency (daily) data in developing capital market expectations. O'Reillyanswers, "Sometimes it is necessary to use daily data to obtain a data seriesof the desired length. High-frequency data are more sensitive to asynchronismacross variables and, as a result, tend to produce higher correlation estimates."

With respect tohis answer to Brown's question, O'Reilly most likely is:

选项:

A.incorrect, because high-frequency data are lesssensitive to asynchronism

B.incorrect, because high-frequency data tend to producelower correlation estimates

C.correct

解释:

Correct Answer: B

O'Reilly's answeris incorrect with respect to correlation estimates. High-frequency data aremore sensitive to asynchronism across variables and, as a result, tend toproduce lower correlation estimates.

中文解析:

就相关性估计而言,O'Reilly的答案是不正确的。高频数据对变量间的异步更敏感,因此往往产生较低的相关性估计。

老师,我知道异步性会使得correlation降低,但是我还有个疑问,就是原本数据少的时候就容易导致correlation被低估,而high-frequency书上又说可以"improve the precision of sample variances, covariance and correlations", 那如果还是低估相关性的话,高频数据对于相关性估计的改进到底改进在哪里呢?

1 个答案
已采纳答案

源_品职助教 · 2024年04月19日

嗨,从没放弃的小努力你好:


是这样的。

高频数据会改善相correlation。

但高频数据也可能诱发异步性,是异步性又导致相关correlation降低(也就是correlation这里的降低的直接原因是异步性,而非高频数据,只是高频数据有可能带来异步性)


打个比方,高个子适合打篮球,这是主要观点。

但是高个子可能会导致动作迟缓,动作迟缓又不合适打篮球。但是我们不能因为动作迟缓就否认高个子适合打篮球。

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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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