如题

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 is 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：

“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.