NO.PZ2018122701000058
问题如下:
Which of the following statements about correlation and copula are correct?
I.Copula enables the structures of correlation between variables to be calculated separately from their marginal distributions.
II.Transformation of variables does not change their correlation structure.
III.Correlation can be a useful measure of the relationship between variables drawn from a distribution without a defined variance.
IV.Correlation s a good measure of dependence when the measured variables are distributed as multivariate elliptical.
选项:
A.I and IV only
B.II, III, and IV only
C.I and III only
D.II and IV only
解释:
A is correct.
考点Copula Functions
解析
"I" is true. Using the copula approach, we can calculate the structures of correlation between variables separately from the marginal distributions. "IV" is also true. Correlation is a good measure of dependence when the measured variables are distributed as multivariate elliptical.
"II" is false. The correlation between transformed variables will not always be the same as the correlation between those same variables before transformation. Data transformation can sometimes alter the correlation estimate. "III" is also false. Correlation is not defined unless variances are finite.
1.Copula enables the structures of correlation between variables to be calculated separately from their marginal distributions.为什么要使得分开算呢,一起算不好吗,分开算怎么算呢。
2.多重椭圆分布?其实就是正态分布的类似吗?
3.里面有说到ρ,分布必须有一个finite的方差,但是一个分布画出来,方差不就是肯定能算出来的吗,还有拥有infinite方差的分布吗