In this paper, the problem of nonparametric estimation of finite population quantile function using multiplicative bias correction technique is considered. A robust estimator of the finite population quantile function...In this paper, the problem of nonparametric estimation of finite population quantile function using multiplicative bias correction technique is considered. A robust estimator of the finite population quantile function based on multiplicative bias correction is derived with the aid of a super population model. Most studies have concentrated on kernel smoothers in the estimation of regression functions. This technique has also been applied to various methods of non-parametric estimation of the finite population quantile already under review. A major problem with the use of nonparametric kernel-based regression over a finite interval, such as the estimation of finite population quantities, is bias at boundary points. By correcting the boundary problems associated with previous model-based estimators, the multiplicative bias corrected estimator produced better results in estimating the finite population quantile function. Furthermore, the asymptotic behavior of the proposed estimators </span><span style="font-family:Verdana;">is</span><span style="font-family:Verdana;"> presented</span><span style="font-family:Verdana;">. </span><span style="font-family:Verdana;">It is observed that the estimator is asymptotically unbiased and statistically consistent when certain conditions are satisfied. The simulation results show that the suggested estimator is quite well in terms of relative bias, mean squared error, and relative root mean error. As a result, the multiplicative bias corrected estimator is strongly suggested for survey sampling estimation of the finite population quantile function.展开更多
Quasi-longitudinal waves are one type of structural waves, which are important at high frequencies. This paper studies the estimate theory and measurement technique of quasi-longitudinal waves, analyzes the bias error...Quasi-longitudinal waves are one type of structural waves, which are important at high frequencies. This paper studies the estimate theory and measurement technique of quasi-longitudinal waves, analyzes the bias error due to the effect of bending waves. In a two-dimensional quasi-longitudinal wave held, the intensity vector is the sum of the effective intensity vector and the intensity variation vector. Its axial component is proportional to two imaginary parts of cross spectral densities and in the measurement, it is measured by a pair of two-transducer arrays. In a one-dimensional quasi-longitudinal wave field, the intensity variation is zero, the intensity is proportional to only one imaginary part of a cross spectral density and it can be measured using a two-transducer array. If bending and quasi-longitudinal waves coexist and the contribution from bending waves cannot be eliminated or reduced to a certain extent, the measured quasi-longitudinal wave intensity will contain a large error. The results measured on the three-beam structure show that quasi-longitudinal wave intensity can be accurately measured using the intensity technique when bending waves are negligible in comparison with quasi-longitudinal waves.展开更多
Perpendicular magnetic anisotropy and perpendicular exchange bias of CoPt/FeMn bilayers fabricated by dc magnetron sputtering were investigated in this work.Magnetic anisotropy,showing strong dependence on thickness o...Perpendicular magnetic anisotropy and perpendicular exchange bias of CoPt/FeMn bilayers fabricated by dc magnetron sputtering were investigated in this work.Magnetic anisotropy,showing strong dependence on thickness of CoPt layer,changes from perpendicular magnetic anisotropy(PMA) into in-plane magnetic anisotropy when CoPt layer is thicker than 4.5 nm.The evolution of internal stress with thickness,from tensile to compressive,has been analyzed by sin^2 ψ method using an equal biaxial stress model.Distinctive perpendicular exchange bias(PEB) has been successfully established due to PMA of CoPt and out-ofplane spin component of 3 Q-spin-structured FeMn.FeMn thickness dependence of exchange bias field has been systematically investigated.展开更多
There are many possible bias errors in the measurement of structural intensity and some of them have been theoretically examined. Attempting to analyse all the bias errors at the same time results in a very complicate...There are many possible bias errors in the measurement of structural intensity and some of them have been theoretically examined. Attempting to analyse all the bias errors at the same time results in a very complicated analysis and makes it difficult to draw clear conclusions.The bias errors are usually analysed individually. In this paper a theoretical study of three bias errors in the measurement of structural intensity is presented by using the twor-accelerometer array technique. It is assumed that the physical and material properties of the test structure are known. The analysis will be restricted to one-dimensional beams, but it can be extended to two-dimensional plates.展开更多
文摘In this paper, the problem of nonparametric estimation of finite population quantile function using multiplicative bias correction technique is considered. A robust estimator of the finite population quantile function based on multiplicative bias correction is derived with the aid of a super population model. Most studies have concentrated on kernel smoothers in the estimation of regression functions. This technique has also been applied to various methods of non-parametric estimation of the finite population quantile already under review. A major problem with the use of nonparametric kernel-based regression over a finite interval, such as the estimation of finite population quantities, is bias at boundary points. By correcting the boundary problems associated with previous model-based estimators, the multiplicative bias corrected estimator produced better results in estimating the finite population quantile function. Furthermore, the asymptotic behavior of the proposed estimators </span><span style="font-family:Verdana;">is</span><span style="font-family:Verdana;"> presented</span><span style="font-family:Verdana;">. </span><span style="font-family:Verdana;">It is observed that the estimator is asymptotically unbiased and statistically consistent when certain conditions are satisfied. The simulation results show that the suggested estimator is quite well in terms of relative bias, mean squared error, and relative root mean error. As a result, the multiplicative bias corrected estimator is strongly suggested for survey sampling estimation of the finite population quantile function.
文摘Quasi-longitudinal waves are one type of structural waves, which are important at high frequencies. This paper studies the estimate theory and measurement technique of quasi-longitudinal waves, analyzes the bias error due to the effect of bending waves. In a two-dimensional quasi-longitudinal wave held, the intensity vector is the sum of the effective intensity vector and the intensity variation vector. Its axial component is proportional to two imaginary parts of cross spectral densities and in the measurement, it is measured by a pair of two-transducer arrays. In a one-dimensional quasi-longitudinal wave field, the intensity variation is zero, the intensity is proportional to only one imaginary part of a cross spectral density and it can be measured using a two-transducer array. If bending and quasi-longitudinal waves coexist and the contribution from bending waves cannot be eliminated or reduced to a certain extent, the measured quasi-longitudinal wave intensity will contain a large error. The results measured on the three-beam structure show that quasi-longitudinal wave intensity can be accurately measured using the intensity technique when bending waves are negligible in comparison with quasi-longitudinal waves.
文摘Perpendicular magnetic anisotropy and perpendicular exchange bias of CoPt/FeMn bilayers fabricated by dc magnetron sputtering were investigated in this work.Magnetic anisotropy,showing strong dependence on thickness of CoPt layer,changes from perpendicular magnetic anisotropy(PMA) into in-plane magnetic anisotropy when CoPt layer is thicker than 4.5 nm.The evolution of internal stress with thickness,from tensile to compressive,has been analyzed by sin^2 ψ method using an equal biaxial stress model.Distinctive perpendicular exchange bias(PEB) has been successfully established due to PMA of CoPt and out-ofplane spin component of 3 Q-spin-structured FeMn.FeMn thickness dependence of exchange bias field has been systematically investigated.
文摘There are many possible bias errors in the measurement of structural intensity and some of them have been theoretically examined. Attempting to analyse all the bias errors at the same time results in a very complicated analysis and makes it difficult to draw clear conclusions.The bias errors are usually analysed individually. In this paper a theoretical study of three bias errors in the measurement of structural intensity is presented by using the twor-accelerometer array technique. It is assumed that the physical and material properties of the test structure are known. The analysis will be restricted to one-dimensional beams, but it can be extended to two-dimensional plates.
