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Central limit theorems for generalized -statistics with applications in nonparametric specification

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  • Jiti Gao
  • Yongmiao Hong

Abstract

In this paper, we establish some new central limit theorems for generalized U-statistics of dependent processes under some mild conditions. Such central limit theorems complement existing results available from both the econometrics literature and statistics literature. We then look at applications of the established results to a number of test problems in time series regression models.

Suggested Citation

  • Jiti Gao & Yongmiao Hong, 2008. "Central limit theorems for generalized -statistics with applications in nonparametric specification," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 20(1), pages 61-76.
  • Handle: RePEc:taf:gnstxx:v:20:y:2008:i:1:p:61-76
    DOI: 10.1080/10485250801899596
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    Cited by:

    1. Chen, Bin & Hong, Yongmiao, 2012. "Testing For The Markov Property In Time Series," Econometric Theory, Cambridge University Press, vol. 28(1), pages 130-178, February.
    2. Tae Kim & Zhi-Ming Luo & Chiho Kim, 2011. "The central limit theorem for degenerate variable -statistics under dependence," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 23(3), pages 683-699.
    3. Mammen, Enno & Van Keilegom, Ingrid & Yu, Kyusang, 2013. "Expansion for Moments of Regression Quantiles with Applications to Nonparametric Testing," LIDAM Discussion Papers ISBA 2013027, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    4. Corradi, Valentina & Distaso, Walter & Fernandes, Marcelo, 2012. "International market links and volatility transmission," Journal of Econometrics, Elsevier, vol. 170(1), pages 117-141.

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