For the simple regression model              Yi = θ + βxi + ei , i = 1,... ,n, consider the Kendall tau statistic and let Kn(t) be the aligned statistic when the Yi ’s are replaced by Yi − txi , 1 ≤ i...

For the simple regression model

             Yi = θ + βxi + ei , i = 1,... ,n,

consider the Kendall tau statistic

and let Kn(t) be the aligned statistic when the Yi ’s are replaced by Yi − txi , 1 ≤ i ≤ n. Show that Kn(β) is distribution-free with location 0, and that Kn(t) is nonincreasing in t. The derived R-estimator of β is