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A Study on Bandwidth Selection in Density Estimation under Dependence


  • Kim, Tae Yoon
  • Cox, Denis D.


Hart and Vieu proposed a modified cross validation (MCV), the "leave-(2l+1)-out" version of the simple cross validation for bandwidth selection under dependence and established its asymptotic optimality for a certain class ofl. In this article, we investigate the convergence rates of MCV.

Suggested Citation

  • Kim, Tae Yoon & Cox, Denis D., 1997. "A Study on Bandwidth Selection in Density Estimation under Dependence," Journal of Multivariate Analysis, Elsevier, vol. 62(2), pages 190-203, August.
  • Handle: RePEc:eee:jmvana:v:62:y:1997:i:2:p:190-203

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    References listed on IDEAS

    1. Kim, Tae Yoon, 1993. "A note on moment bounds for strong mixing sequences," Statistics & Probability Letters, Elsevier, vol. 16(2), pages 163-168, January.
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    Cited by:

    1. Barbeito, Inés & Cao, Ricardo, 2016. "Smoothed stationary bootstrap bandwidth selection for density estimation with dependent data," Computational Statistics & Data Analysis, Elsevier, vol. 104(C), pages 130-147.
    2. repec:eee:stapro:v:138:y:2018:i:c:p:9-19 is not listed on IDEAS
    3. Estévez-Pérez, Graciela, 2002. "On convergence rates for quadratic errors in kernel hazard estimation," Statistics & Probability Letters, Elsevier, vol. 57(3), pages 231-241, April.
    4. M. Sköld, 2001. "The Asymptotic Variance of the Continuous-Time Kernel Estimator with Applications to Bandwidth Selection," Statistical Inference for Stochastic Processes, Springer, vol. 4(1), pages 99-117, January.


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