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Cramér-von Mises tests for independence

Author

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  • De Wet, T.

Abstract

In this paper recent results of [6]Ann. Statist.5 110-123] are used to obtain the asymptotic null distribution of a weighted Cramér-von Mises type test for independence. We use approximate Bahadur slopes to find good weight functions for certain alternatives. Some percentage points of the asymptotic distribution are given.

Suggested Citation

  • De Wet, T., 1980. "Cramér-von Mises tests for independence," Journal of Multivariate Analysis, Elsevier, vol. 10(1), pages 38-50, March.
    • Handle: RePEc:eee:jmvana:v:10:y:1980:i:1:p:38-50
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    Citations

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    Cited by:

    1. Koning, A.J. & Protassov, V., 2001. "Tail behaviour of Gaussian processes with applications to the Brownian pillow," Econometric Institute Research Papers EI 2001-49, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    2. Einmahl, John H.J. & Van Keilegom, Ingrid, 2008. "Specification tests in nonparametric regression," Journal of Econometrics, Elsevier, vol. 143(1), pages 88-102, March.
    3. Einmahl, J.H.J. & van Keilegom, I., 2004. "Goodness-of-fit Tests in Nonparametric Regression," Other publications TiSEM 44e08f75-b35d-424e-b33e-0, Tilburg University, School of Economics and Management.
    4. Koning, Alex J. & Protasov, Vladimir, 2003. "Tail behaviour of Gaussian processes with applications to the Brownian pillow," Journal of Multivariate Analysis, Elsevier, vol. 87(2), pages 370-397, November.
    5. Györfi, László & Walk, Harro, 2012. "Strongly consistent nonparametric tests of conditional independence," Statistics & Probability Letters, Elsevier, vol. 82(6), pages 1145-1150.

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