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Uniformly asymptotic normality of the regression weighted estimator for negatively associated samples

  • Yang, Shanchao
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    In this paper, we discuss the uniformly asymptotic normality of the weighted function estimate of the fixed design regression model for negatively associated samples. We give the rates of uniform asymptotic normality. The rate is near n-1/4 when the third moment is finite.

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    File URL: http://www.sciencedirect.com/science/article/B6V1D-47P1HPG-1/2/a00c4aabd17c63bb4df0f7a5a10dbebd
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    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 62 (2003)
    Issue (Month): 2 (April)
    Pages: 101-110

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    Handle: RePEc:eee:stapro:v:62:y:2003:i:2:p:101-110
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    1. Roussas, George G., 1989. "Consistent regression estimation with fixed design points under dependence conditions," Statistics & Probability Letters, Elsevier, vol. 8(1), pages 41-50, May.
    2. Roussas, G. G., 1994. "Asymptotic Normality of Random Fields of Positively or Negatively Associated Processes," Journal of Multivariate Analysis, Elsevier, vol. 50(1), pages 152-173, July.
    3. Roussas, George G., 2000. "Asymptotic normality of the kernel estimate of a probability density function under association," Statistics & Probability Letters, Elsevier, vol. 50(1), pages 1-12, October.
    4. Georgiev, Alexander A., 1984. "Kernel estimates of functions and their derivatives with applications," Statistics & Probability Letters, Elsevier, vol. 2(1), pages 45-50, January.
    5. Fan, Y., 1990. "Consistent nonparametric multiple regression for dependent heterogeneous processes: The fixed design case," Journal of Multivariate Analysis, Elsevier, vol. 33(1), pages 72-88, April.
    6. Roussas, George G. & Tran, Lanh T. & Ioannides, D. A., 1992. "Fixed design regression for time series: Asymptotic normality," Journal of Multivariate Analysis, Elsevier, vol. 40(2), pages 262-291, February.
    7. Georgiev, Alexander A., 1988. "Consistent nonparametric multiple regression: The fixed design case," Journal of Multivariate Analysis, Elsevier, vol. 25(1), pages 100-110, April.
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