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Optimal bandwidths for kernel density estimators of functions of observations

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  • A. Ahmad, Ibrahim
  • Fan, Yanqin

Abstract

We derive optimal bandwidths for kernel density estimators of functions of observations proposed in Frees (J. Amer. Statist. Assoc. 89 (1994) 517-525). Our criteria are, respectively, the minimization of the asymptotic mean squared error and of the asymptotic mean integrated squared error of the estimators.

Suggested Citation

  • A. Ahmad, Ibrahim & Fan, Yanqin, 2001. "Optimal bandwidths for kernel density estimators of functions of observations," Statistics & Probability Letters, Elsevier, vol. 51(3), pages 245-251, February.
    • Handle: RePEc:eee:stapro:v:51:y:2001:i:3:p:245-251
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    References listed on IDEAS

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    1. P. M. Robinson, 1989. "Hypothesis Testing in Semiparametric and Nonparametric Models for Econometric Time Series," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(4), pages 511-534.
    2. Powell, James L. & Stoker, Thomas M., 1996. "Optimal bandwidth choice for density-weighted averages," Journal of Econometrics, Elsevier, vol. 75(2), pages 291-316, December.
    3. Joris Pinkse & Margaret E. Slade & Craig Brett, 2002. "Spatial Price Competition: A Semiparametric Approach," Econometrica, Econometric Society, vol. 70(3), pages 1111-1153, May.
    4. Powell, James L & Stock, James H & Stoker, Thomas M, 1989. "Semiparametric Estimation of Index Coefficients," Econometrica, Econometric Society, vol. 57(6), pages 1403-1430, November.
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    Cited by:

    1. Christophe Chesneau & Fabienne Comte & Gwennaëlle Mabon & Fabien Navarro, 2014. "Estimation of Convolution In The Model with Noise," Working Papers 2014-39, Center for Research in Economics and Statistics.
    2. Mugdadi, A. R. & Ahmad, Ibrahim A., 2004. "A bandwidth selection for kernel density estimation of functions of random variables," Computational Statistics & Data Analysis, Elsevier, vol. 47(1), pages 49-62, August.

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