Lee, Sokbae; Linton, Oliver; Whang, Yoon-Jae - Suntory and Toyota International Centres for Economics … - 2006
We propose a test of the hypothesis of stochastic monotonicity. This hypothesis isof interest in many applications. Our test is based on the supremum of a rescaledU-statistic. We show that its asymptotic distribution is Gumbel. The proof is difficultbecause the approximating Gaussian stochastic...