Measuring monotony in two-dimensional samples

摘要: This note introduces a monotony coefficient as new measure of the monotone dependence in two-dimensional sample. Some properties this are derived. In particular, it is shown that absolute value for sample between |r| and 1, where r Pearson's correlation sample; equals 1 any increasing −1 decreasing article contains few examples demonstrating more accurate degree non-linear relationship than Pearson's, Spearman's Kendall's coefficients. The tool can be applied to samples order find dependencies random variables; especially useful finding couples dependent variables big dataset many variables. Undergraduate students mathematics science would benefit from ...