Lee, Sokbae; Linton, Oliver; Whang, Yoon-Jae - London School of Economics (LSE) - 2006
We propose a test of the hypothesis of stochastic monotonicity. This hypothesis is of interest in many applications. Our test is based on the supremum of a rescaled U-statistic. We show that its asymptotic distribution is Gumbel. The proof is difficult because the approximating Gaussian...