Consider a linear regression model Y=β'X+e.where Y may be right censored and the cdf F+o of e is unknown.We show that a modified semi-parametric MLE.denoted by .is strongly consistent under certain regularity con...Consider a linear regression model Y=β'X+e.where Y may be right censored and the cdf F+o of e is unknown.We show that a modified semi-parametric MLE.denoted by .is strongly consistent under certain regularity conditions.Moreover.if F_o is discontinuous,then P(≠βi.o.)=0, which means that P(=βif the sample size is large)=1.The latter property has not been reported for the existing estimators.By contrast,most estimators,such as the Buckley-James estimator and M-estimators .satisfy that P(≠βi.o.)=1.展开更多
This paper focus on solving the problem of seafloor control point absolute positioning with low vertical accuracy based on the survey ship sailing circle. The method of dealing with the systematic error based on a sem...This paper focus on solving the problem of seafloor control point absolute positioning with low vertical accuracy based on the survey ship sailing circle. The method of dealing with the systematic error based on a semi-parametric adjustment model was proposed. Firstly, the influence of sound velocity change on ranging error is analyzed. Secondly, a semi-parametric adjustment model for determining three-dimensional coordinates of seafloor control points was established. And respectively proposed solutions under two different conditions, the observation duration is an integral multiple or non-integer multiple of the long-period term of the ranging error. The simulation experiment shows that this method can obviously improve the accuracy of vertical solution of seafloor control point compared with the difference technique and the least-squares method when internal waves exist and observation duration is less than an integer multiple of the long-period term of the ranging error.展开更多
基金Supported by the U.S.Army Grants DAMD17-99-1-9390 and DAMD17-01-0448
文摘Consider a linear regression model Y=β'X+e.where Y may be right censored and the cdf F+o of e is unknown.We show that a modified semi-parametric MLE.denoted by .is strongly consistent under certain regularity conditions.Moreover.if F_o is discontinuous,then P(≠βi.o.)=0, which means that P(=βif the sample size is large)=1.The latter property has not been reported for the existing estimators.By contrast,most estimators,such as the Buckley-James estimator and M-estimators .satisfy that P(≠βi.o.)=1.
基金The National Key Research and Development Program of China(No.2016YFB0501701)The National High-tech Research and Development Program of China(No.2013AA122501)+1 种基金National Natural Science Foundation of China(Nos.4187610341874016)。
文摘This paper focus on solving the problem of seafloor control point absolute positioning with low vertical accuracy based on the survey ship sailing circle. The method of dealing with the systematic error based on a semi-parametric adjustment model was proposed. Firstly, the influence of sound velocity change on ranging error is analyzed. Secondly, a semi-parametric adjustment model for determining three-dimensional coordinates of seafloor control points was established. And respectively proposed solutions under two different conditions, the observation duration is an integral multiple or non-integer multiple of the long-period term of the ranging error. The simulation experiment shows that this method can obviously improve the accuracy of vertical solution of seafloor control point compared with the difference technique and the least-squares method when internal waves exist and observation duration is less than an integer multiple of the long-period term of the ranging error.
