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拟回归估计的均方收敛性
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作者 钱伟民 成晓磊 《吉首大学学报(自然科学版)》 CAS 2007年第2期6-10,共5页
研究了拟回归估计的均方误差,得到了均方误差的计算公式,并在适当的条件下,建立了拟回归估计的均方收敛性.
关键词 拟回归估计 均方误差 均方收敛
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Quantitative inverse modeling of nitrogen content from hyperion data under stress of exhausted coal mining sites 被引量:4
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作者 LU Xia HU Zhen-qi GUO Li 《Mining Science and Technology》 EI CAS 2009年第1期31-35,共5页
Monitoring and evaluating the nutritional status of vegetation under stress from exhausted coal mining sites by hyper-spectral remote sensing is important in future ecological restoration engineering. The Wangpingcun ... Monitoring and evaluating the nutritional status of vegetation under stress from exhausted coal mining sites by hyper-spectral remote sensing is important in future ecological restoration engineering. The Wangpingcun coal mine, located in the Mentougou district of Beijing, was chosen as a case study. The ecological damage was analyzed by 3S technology, field investigation and from chemical data. The derivative spectra of the diagnostic absorption bands are derived from the spectra measured in the field and used as characteristic spectral variables. A correlation analysis was conducted for the nitrogen content of the vegetation samples and the fast derivative spectrum and the estimation model of nitrogen content established by a multiple stepwise linear regression method. The spatial distribution of nitrogen content was extracted by a parameter mapping method from the Hyperion data which revealed the distribution of the nitrogen content. In addition, the estimation model was evaluated for two evaluation indicators which are important for the precision of the model. Experimental results indicate that by linear regression and parameter mapping, the estimation model precision was Very high. The coefficient of determination, R2, was 0.795 and the standard deviation of residual (SDR) 0.19. The nitrogen content of most samples was about 1.03% and the nitrogen content in the study site seems inversely proportional to the distance from the piles of coal waste. Therefore, we can conclude that inversely modeling nitrogen content by hyper-spectral remote sensing in exhausted coal mining sites is feasible and our study can be taken as reference in species selection and in subseauent management and maintenance in ecological restoration. 展开更多
关键词 HYPERION nitrogen content estimation model linear regression
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MAXIMUM INFORMATION AND OPTIMUM ESTIMATING FUNCTION 被引量:1
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作者 LIN Lu Department of Statistics, School of Mathematical Sciences, Nankai University, Tianjin 300071, China. 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2003年第3期349-358,共10页
In order to construct estimating functions in some parametric models, this paper introducestwo classes of information matrices. Some necessary and sufficient conditions for the informationmatrices achieving their uppe... In order to construct estimating functions in some parametric models, this paper introducestwo classes of information matrices. Some necessary and sufficient conditions for the informationmatrices achieving their upper bounds are given. For the problem of estimating the median,some optimum estimating functions based on the information matrices are acquired. Undersome regularity conditions, an approach to carrying out the best basis function is introduced. Innonlinear regression models, an optimum estimating function based on the information matricesis obtained. Some examples are given to illustrate the results. Finally, the concept of optimumestimating function and the methods of constructing optimum estimating function are developedin more general statistical models. 展开更多
关键词 Quasi (pseudo) Fisher information Estimating function Quasi score Nonlinear regression model Median regression model
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