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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2009.6
- 수록면
- 577 - 585 (9page)
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초록· 키워드
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So far in a nonparametric regression model one of the interesting problems is esti-mating the error variance. In this paper we propose an estimator of the mean of the squared functions which is the numerator of SNR (Signal to Noise Ratio). To estimate SNR, the mean of the squared function should be firstly estimated. Our focus is on estimating the amplitude, that is the mean of the squared functions, in a nonparametric regression using a simple linear regression model with the quadratic form of observa-tions as the dependent variable and the function of a lag as the regressor. Our method can be extended to nonparametric regression models with multivariate functions on unequally spaced design points or clustered designed points.
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참고문헌 (12)
참고문헌 신청
1. [학술지(정기간행물)] - Carter, C. K / 1992 / A comparison of variance estimators in nonparametric regression / Journal of the Royal Statistical Society: Series B 54 : 773 ~ 780
2. [학술지(정기간행물)] - Dette, H / 1998 / Estimating the variance in nonparametric regression-What is a reasonable choice? / Journal of the Royal Statistical Society: Series B 60 : 751 ~ 764
3. [학술지(정기간행물)] - Hall, P / 1989 / Variance function estimation in regression: The e ect of estimating the mean / Journal of the Royal Statistical Society: Series B 51 : 3 ~ 14
4. [학술지(정기간행물)] - Hall, P / 1990 / On variance estimation in nonparametric regression / Biometrika 77 : 415 ~ 419
5. [학술지(정기간행물)] - Gasser, T / 1986 / Residual variance and residual pattern in nonlinear regression / Biometrika 73 : 625 ~ 633
2. [학술지(정기간행물)] - Dette, H / 1998 / Estimating the variance in nonparametric regression-What is a reasonable choice? / Journal of the Royal Statistical Society: Series B 60 : 751 ~ 764
3. [학술지(정기간행물)] - Hall, P / 1989 / Variance function estimation in regression: The e ect of estimating the mean / Journal of the Royal Statistical Society: Series B 51 : 3 ~ 14
4. [학술지(정기간행물)] - Hall, P / 1990 / On variance estimation in nonparametric regression / Biometrika 77 : 415 ~ 419
5. [학술지(정기간행물)] - Gasser, T / 1986 / Residual variance and residual pattern in nonlinear regression / Biometrika 73 : 625 ~ 633
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