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Testing for stochastic monotonicity

Author

Listed:
  • Lee, Sokbae
  • Linton, Oliver
  • Whang, Yoon-Jae

Abstract

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 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.

Suggested Citation

  • Lee, Sokbae & Linton, Oliver & Whang, Yoon-Jae, 2006. "Testing for stochastic monotonicity," LSE Research Online Documents on Economics 4425, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:4425
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    More about this item

    Keywords

    Distribution function; Extreme Value Theory; Gaussian Process; Monotonicity.;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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