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- W2153103722 abstract "We propose a test of the hypothesis of stochastic monotonicity. This hypothesis is of interest in many applications in economics. 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 stochastic process contains both a stationary and a nonstationary part, and so we have to extend existing results that only apply to either one or the other case. We also propose a refinement to the asymptotic approximation that we show works much better in finite samples. We apply our test to the study of intergenerational income mobility." @default.
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- W2153103722 date "2008-07-31" @default.
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- W2153103722 title "Testing for stochastic monotonicity" @default.
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- W2153103722 doi "https://doi.org/10.1920/wp.cem.2008.2108" @default.
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