The problem is to estimate p the true correlation between two variables x and y when y and u=f(x) (but not x) are measured where f is a monotone function. The monotone correlation coefficient between y and u is defined and shown to be a (strongly) consistent estimator of p. For large samples approximate lower and upper bounds on the sample correlation between x and y are presented. Finally, an application of these results is displayed.
|Original language||English (US)|
|Number of pages||2|
|Journal||Journal of the American Statistical Association|
|State||Published - Jun 1973|
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty