In this article, we consider a class of kernel quantile estimators which is the linear combi- nation of order statistics. This class of kernel quantile estimators can be regarded as an extension of some existing estim...In this article, we consider a class of kernel quantile estimators which is the linear combi- nation of order statistics. This class of kernel quantile estimators can be regarded as an extension of some existing estimators. The exact mean square error expression for this class of estimators will be provided when data are uniformly distributed. The implementation of these estimators depends mostly on the bandwidth selection. We then develop an adaptive method for bandwidth selection based on the intersection confidence intervals （ICI） principle. Monte Carlo studies demonstrate that our proposed approach is comparatively remarkable. We illustrate our method with a real data set.展开更多
The issue of selection of bandwidth in kernel smoothing method is considered within the context of partially linear models, hi this paper, we study the asymptotic behavior of the bandwidth choice based on generalized ...The issue of selection of bandwidth in kernel smoothing method is considered within the context of partially linear models, hi this paper, we study the asymptotic behavior of the bandwidth choice based on generalized cross-validation （CCV） approach and prove that this bandwidth choice is asymptotically optimal. Numerical simulation are also conducted to investigate the empirical performance of generalized cross-valldation.展开更多
In this paper, we propose a cooperative anti-interference spectrum sharing strategy with secondary user selection where the secondary system can gain spectrum access along with the primary system. Specifically, second...In this paper, we propose a cooperative anti-interference spectrum sharing strategy with secondary user selection where the secondary system can gain spectrum access along with the primary system. Specifically, secondary user and are selected to transmit the primary and secondary signal through different bandwidth in the second transmission slot which occupies fraction of the time. Thus, the primary and secondary systems will not interfere with each other. We study the joint optimization of time and bandwidth allocation such that the transmission rate of the secondary system is maximized, while guaranteeing the primary system to achieve its target rate. Simulation results confirm efficiency of the proposed spectrum sharing strategy, and the significant performance improvement of the cognitive system.展开更多
Piecewise variable bandwidth local polynomial smoothing was studied. A local polynomial smoothing method was given based on kernel functions and the optimal variable bandwidth choice was discussed using cluster analys...Piecewise variable bandwidth local polynomial smoothing was studied. A local polynomial smoothing method was given based on kernel functions and the optimal variable bandwidth choice was discussed using cluster analysis. Computer simulations show that the current method is better than Donoho's wavelet shrinkage method.展开更多
In this paper,the authors investigate three aspects of statistical inference for the partially linear regression models where some covariates are measured with errors.Firstly, a bandwidth selection procedure is propos...In this paper,the authors investigate three aspects of statistical inference for the partially linear regression models where some covariates are measured with errors.Firstly, a bandwidth selection procedure is proposed,which is a combination of the differencebased technique and GCV method.Secondly,a goodness-of-fit test procedure is proposed, which is an extension of the generalized likelihood technique.Thirdly,a variable selection procedure for the parametric part is provided based on the nonconcave penalization and corrected profile least squares.Same as＂Variable selection via nonconcave penalized likelihood and its oracle properties＂（J.Amer.Statist.Assoc.,96,2001,1348-1360）,it is shown that the resulting estimator has an oracle property with a proper choice of regularization parameters and penalty function.Simulation studies are conducted to illustrate the finite sample performances of the proposed procedures.展开更多
To estimate central dimension-reduction space in multivariate nonparametric rcgression, Sliced Inverse Regression （SIR）, Sliced Average Variance Estimation （SAVE） and Slicing Average Third-moment Estimation （SAT...To estimate central dimension-reduction space in multivariate nonparametric rcgression, Sliced Inverse Regression （SIR）, Sliced Average Variance Estimation （SAVE） and Slicing Average Third-moment Estimation （SAT） have been developed, Since slicing estimation has very different asymptotic behavior for SIR, and SAVE, the relevant study has been madc case by case, when the kernel estimators of SIH and SAVE share similar asymptotic properties. In this paper, we also investigate kernel estimation of SAT. We. prove the asymptotic normality, and show that, compared with tile existing results, the kernel Slnoothing for SIR, SAVE and SAT has very similar asymptotic behavior,展开更多
Hypothesis testing for the parametric component in the partial linear errors-in-variables （EV） regression models is discussed in this paper. Based on the corrected profile least square estimator, five test statistic...Hypothesis testing for the parametric component in the partial linear errors-in-variables （EV） regression models is discussed in this paper. Based on the corrected profile least square estimator, five test statistics are proposed and the asymptotic null distributions of them are deduced. Simulations have been done to show the performance of these test statistics under null and alternative hypothesis.展开更多
This note discusses some issues related to bandwidth selection based on moment expansions of the mean squared error （MSE） of the regression quantile estimator. We use higher order expansions to provide a way to dist...This note discusses some issues related to bandwidth selection based on moment expansions of the mean squared error （MSE） of the regression quantile estimator. We use higher order expansions to provide a way to distinguish among asymptotically equivalent nonparametric estimators. We derive approximations to the （standardized） MSE of the covariance matrix estimation. This facilitates a comparison of different estimators at the second order level, where differences do occur and depend on the bandwidth choice. A method of bandwidth selection is defined by minimizing the second order effect in the mean squared error.展开更多
We experimentally demonstrate a 750 Mb/s real-time visible light communication（VLC） system based on non-return-to-zero on–off keying modulation by employing single commercially available monochromatic lightemitting...We experimentally demonstrate a 750 Mb/s real-time visible light communication（VLC） system based on non-return-to-zero on–off keying modulation by employing single commercially available monochromatic lightemitting diodes. To enhance the 3-d B bandwidth of the VLC link, we propose a low-complexity cascaded post-equalizer based on NPN transistors. With two different frequency-selecting networks in our post-equalizer,the highest achieved 3-d B bandwidth of the VLC link is 370 MHz. The highest achieved data rate is 750 Mb/s at a communication distance of 170 cm with a bit error rate below 1 × 10^（-6）, which is far below the forward error correction limit（3.8 × 10^（-3））. Based on our monochromatic VLC system, a wavelength-division multiplexing VLC system could be designed with a higher data rate.展开更多
基金Supported by Fundamental Research Funds for the Central Universities and the Research Funds of Renmin University of China(Grant Nos.10XNL018,10XNK025)National Natural Science Foundation of China(Grant No.11271368)+3 种基金Beijing Planning Office of Philosophy and Social Science(Grant No.12JGB051)China Statistical Research Project(Grant No.2011LZ031)Project of Ministry of Education supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20130004110007)the Key Program of National Philosophy and Social Science Foundation Grant(No.13AZD064)
文摘In this article, we consider a class of kernel quantile estimators which is the linear combi- nation of order statistics. This class of kernel quantile estimators can be regarded as an extension of some existing estimators. The exact mean square error expression for this class of estimators will be provided when data are uniformly distributed. The implementation of these estimators depends mostly on the bandwidth selection. We then develop an adaptive method for bandwidth selection based on the intersection confidence intervals （ICI） principle. Monte Carlo studies demonstrate that our proposed approach is comparatively remarkable. We illustrate our method with a real data set.
文摘The issue of selection of bandwidth in kernel smoothing method is considered within the context of partially linear models, hi this paper, we study the asymptotic behavior of the bandwidth choice based on generalized cross-validation （CCV） approach and prove that this bandwidth choice is asymptotically optimal. Numerical simulation are also conducted to investigate the empirical performance of generalized cross-valldation.
基金supported by China National Science Foundation under Grand No. 61402416Natural Science Foundation of Zhejiang Province under Grant No. LQ14F010003+1 种基金Natural Science Foundation of Jiangsu Province under Grant No. BK20140828the Scientific Foundation for the Returned Overseas Chinese Scholars of State Education Ministry
文摘In this paper, we propose a cooperative anti-interference spectrum sharing strategy with secondary user selection where the secondary system can gain spectrum access along with the primary system. Specifically, secondary user and are selected to transmit the primary and secondary signal through different bandwidth in the second transmission slot which occupies fraction of the time. Thus, the primary and secondary systems will not interfere with each other. We study the joint optimization of time and bandwidth allocation such that the transmission rate of the secondary system is maximized, while guaranteeing the primary system to achieve its target rate. Simulation results confirm efficiency of the proposed spectrum sharing strategy, and the significant performance improvement of the cognitive system.
文摘Piecewise variable bandwidth local polynomial smoothing was studied. A local polynomial smoothing method was given based on kernel functions and the optimal variable bandwidth choice was discussed using cluster analysis. Computer simulations show that the current method is better than Donoho's wavelet shrinkage method.
文摘In this paper,the authors investigate three aspects of statistical inference for the partially linear regression models where some covariates are measured with errors.Firstly, a bandwidth selection procedure is proposed,which is a combination of the differencebased technique and GCV method.Secondly,a goodness-of-fit test procedure is proposed, which is an extension of the generalized likelihood technique.Thirdly,a variable selection procedure for the parametric part is provided based on the nonconcave penalization and corrected profile least squares.Same as＂Variable selection via nonconcave penalized likelihood and its oracle properties＂（J.Amer.Statist.Assoc.,96,2001,1348-1360）,it is shown that the resulting estimator has an oracle property with a proper choice of regularization parameters and penalty function.Simulation studies are conducted to illustrate the finite sample performances of the proposed procedures.
文摘To estimate central dimension-reduction space in multivariate nonparametric rcgression, Sliced Inverse Regression （SIR）, Sliced Average Variance Estimation （SAVE） and Slicing Average Third-moment Estimation （SAT） have been developed, Since slicing estimation has very different asymptotic behavior for SIR, and SAVE, the relevant study has been madc case by case, when the kernel estimators of SIH and SAVE share similar asymptotic properties. In this paper, we also investigate kernel estimation of SAT. We. prove the asymptotic normality, and show that, compared with tile existing results, the kernel Slnoothing for SIR, SAVE and SAT has very similar asymptotic behavior,
基金Supported by the National Natural Science Foundation of China(No.11301351)
文摘Hypothesis testing for the parametric component in the partial linear errors-in-variables （EV） regression models is discussed in this paper. Based on the corrected profile least square estimator, five test statistics are proposed and the asymptotic null distributions of them are deduced. Simulations have been done to show the performance of these test statistics under null and alternative hypothesis.
文摘This note discusses some issues related to bandwidth selection based on moment expansions of the mean squared error （MSE） of the regression quantile estimator. We use higher order expansions to provide a way to distinguish among asymptotically equivalent nonparametric estimators. We derive approximations to the （standardized） MSE of the covariance matrix estimation. This facilitates a comparison of different estimators at the second order level, where differences do occur and depend on the bandwidth choice. A method of bandwidth selection is defined by minimizing the second order effect in the mean squared error.
基金supported by the National 973 Project of China(No.2013CB329202)the National Natural Science Foundation of China(No.61571067)
文摘We experimentally demonstrate a 750 Mb/s real-time visible light communication（VLC） system based on non-return-to-zero on–off keying modulation by employing single commercially available monochromatic lightemitting diodes. To enhance the 3-d B bandwidth of the VLC link, we propose a low-complexity cascaded post-equalizer based on NPN transistors. With two different frequency-selecting networks in our post-equalizer,the highest achieved 3-d B bandwidth of the VLC link is 370 MHz. The highest achieved data rate is 750 Mb/s at a communication distance of 170 cm with a bit error rate below 1 × 10^（-6）, which is far below the forward error correction limit（3.8 × 10^（-3））. Based on our monochromatic VLC system, a wavelength-division multiplexing VLC system could be designed with a higher data rate.
