NO.PZ2020011303000149
问题如下:
A bank estimates from its own data that external fraud losses have (in USD millions) a mean of 50 and a standard deviation of 40. The data from a vendor shows that external fraud has a mean of 100 and a standard deviation of 800. It also shows that cyber risk has a mean of 300 and a standard deviation of 1,600. The bank has no data on cyber risk losses. How should it estimate the mean and standard deviation for its cyber risk losses?
选项:
解释:
In the absence of any other data, the bank would assume that the mean cyber loss is 300/100 or three times its mean external fraud loss (i.e., 150), and that the standard deviation of cyber risk losses is 1,600/800, or twice its standard deviation of external fraud loss (i.e., 80).
题目问:一家银行根据自己的数据估计,外部欺诈损失(以百万美元计)的平均值为 50,标准差为 40。来自供应商vendor的数据显示,外部欺诈的平均值为 100,标准差为 800。它还显示网络风险的平均值为 300,标准差为 1,600。该银行没有关于cyber risk损失的数据。它应该如何估计其Cyber risk损失的均值和标准差?
可以利用 cyber risk 和 fraud loss 之间的关系来求。
例如,vendor 那边的数据显示,cyber risk mean 是 fraud loss mean 的 300/100 = 3 倍,所以我们可以认为银行的 cyber risk mean 也是 fraud loss mean 的 3 倍,所以银行的 cyber risk mean = 3*50 = 150;standard deviation 同理。
请问这是什么估计方法?在基础课、讲义的哪部分?怎么没有印象呢?