Fitting variogram models by weighted least squares

The method of weighted least squares is shown to be an appropriate way of fitting variogram models. The weighting scheme automatically gives most weight to early lags and down-weights those lags with a small number of pairs. Although weights are derived assuming the data are Gaussian (normal), they are shown to be still appropriate in the setting where data are a (smooth) transform of the Gaussian case. The method of (iterated) generalized least squares, which takes into account correlation between variogram estimators at different lags, offer more statistical efficiency at the price of more complexity. Weighted least squares for the robust estimator, based on square root differences, is less of a compromise.     

广义岭估计的直接解法

提出了广义岭估计的直接解法，该解法不需计算岭参数，可直接求得具有最小均方误差的解，并举例证实了该解法的优越性。     

基于粗规则对象空间信息表的最小规则集生成

提出了粗规则对象空间信息表的概念、相关概念和性质，并给出实现粗规则最小化算法。基于此，编写了相应的计算机程序，并对一个地理信息系统实例规则进行了研究。实例表明运行可靠、结果正确，可应用于智能决策信息系统的知识库优化。     

对鄂尔多斯盆地周边岩溶水系统的几点认识

鄂尔多斯盆地地周边分布的古生界碳酸盐岩赋存有丰富的岩溶地下水，受背景地质条件的控制，不同地段地层岩性，岩溶发育程度，岩溶水的补给和赋存富集规律均有差异，并形成了多个岩溶水系统。     

Generalized cross-validation for covariance model selection

A weighted cross-validation technique known in the spline literature as generalized cross-validation (GCV), is proposed for covariance model selection and parameter estimation. Weights for prediction errors are selected to give more importance to a cluster of points than isolated points. Clustered points are estimated better by their neighbors and are more sensitive to model parameters. This rational weighting scheme also provides a simplifying significantly the computation of the cross-validation mean square error of prediction. With small- to medium-size datasets, GCV is performed in a global neighborhood. Optimization of usual isotropic models requires only a small number of matrix inversions. A small dataset and a simulation are used to compare performances of GCV to ordinary cross-validation (OCV) and least-squares filling (LS).     

核安全导则中的地震震级划分意义

本文论述了我国核安全导则中对地震进行两级划分的意义,着重讨论了大震在选址地震工作中的作用。最后,结合我国地震条件提出了大震划分的起算标度。     

模糊识别的隶属原则及其应用

由于模糊识别之最大隶属原则,在实际应用中存在着某种上程度上的不足。本文提出了加势隶属原则、积势隶属原则及加权加势隶属原则、加权积势隶属原则。以此可综合考虑各种变量因素,并在最大限度上综合利用各种变量因素间的信息,以达到模糊识别的最佳效应。     

Glacier development and topographic context

This paper analyses the topographic context of the remaining glaciated areas in the Maladeta Massif (Central Spanish Pyrenees). These ice‐covered surfaces have been incorporated into a geographic information system (GIS) in an attempt at correlating the presence of ice with a range of topographic variables obtained from a digital elevation model. The use of generalized additive models and binary regression tree models enabled us (i) to quantify the spatial variability in the distribution of glaciers attributable to characteristics of the local terrain, (ii) to investigate the interaction between the variables that account for the ice cover distribution and (iii) to map the probability of glacier development. Our results show that although the development of glaciers depends on regional climate conditions, the topographic context is of paramount importance in determining the location, extent, shape and recent evolution of each glacial body. Thus, the joint effect of altitude, exposure to incoming solar radiation, slope and mean curvature is able to explain more than 70 per cent of the observed variance. Copyright © 2006 John Wiley & Sons, Ltd.