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Approximation to the Distribution of the Least Squares Estimators in Two Dimensional Cosine Models by Randomly Weighted Bootstrap
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作者 Yuan-yuan ZHAO Rui-xing MING Yao-hua WU 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2013年第4期765-776,共12页
Recently, Kundu and Gupta (Metrika, 48:83 C 97, 1998) established the asymptotic normality of the least squares estimators in the two dimensional cosine model. In this paper, we give the approximation to the genera... Recently, Kundu and Gupta (Metrika, 48:83 C 97, 1998) established the asymptotic normality of the least squares estimators in the two dimensional cosine model. In this paper, we give the approximation to the general least squares estimators by using random weights which is called the Bayesian bootstrap or the random weighting method by Rubin (Annals of Statistics, 9:130 C 134, 1981) and Zheng (Acta Math. Appl. Sinica (in Chinese), 10(2): 247 C 253, 1987). A simulation study shows that this approximation works very well. 展开更多
关键词 two dimensional model least squares estimator Bayesian bootstrap random weighting method
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A REAL-TIME MATHEMATICAL MODEL FOR TWO DIMENSIONAL TIDAL FLOW AND WATER QUALITY 被引量:1
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作者 Zeng Fan-tang Xu Zhen-cheng Chen Xian-cheng, South China Institute for Environmental Sciences, NEPA, Yuancun, Guangzhou 510655, P.R.China 《Journal of Hydrodynamics》 SCIE EI CSCD 1991年第3期35-40,共6页
A real-time mathematical model for two dimensional tidal flow and water quality is presented in this paper. The control-volume-based-finite-difference method and the 'power interpolation distribution' advocate... A real-time mathematical model for two dimensional tidal flow and water quality is presented in this paper. The control-volume-based-finite-difference method and the 'power interpolation distribution' advocated by Patankar [4] have been employed, and new boundary condition for tidal flow is recommended. The model is un- conditionally stable and convergent, and able to deal with irregular estuarine topography and movable boundary problems. Practical application of the model is illustrated by an example for the Swatou Bay. A fair agreement be- tween the values measured and computed demonstrates the validity of the model developed. 展开更多
关键词 A REAL-TIME MATHEMATICAL MODEL FOR two dimensional TIDAL FLOW AND WATER QUALITY
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2D Coupled 3D:A New Numerical Model for Dual - Structured - Aquifer System
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作者 Chen Chongxi Fang Shuzhen Lin Min(Faculty of Environmental Science and Geotechnique,China University of Geosciehces, Wuhan 430074) 《Journal of Earth Science》 SCIE CAS CSCD 1995年第1期114-117,共4页
This paper points out that a successful numerical simulation is to construct a correct conceptional model which is very dose to the natural condition. A new model, two dimensional coupled three dimensional model (2D -... This paper points out that a successful numerical simulation is to construct a correct conceptional model which is very dose to the natural condition. A new model, two dimensional coupled three dimensional model (2D -3D ) is presented in the Present paper,which is the most suitable one for the dual - structured - aquifer system. An example of Wenyinghu area is shown.By using the 2D-3D model, a satisfied result of the simulated area is achieved. 展开更多
关键词 numerical simulation conceptional model two dimensional coupled threedimensional model (2D - 3D ) dual - structured- aquifer system Wenyinghu area.
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FINITE-ELEMENT MODELLING OF SOIL-GEOGRID INTERACTION DEALING WITH THE PULLOUT BEHAVIOUR OF GEOGRIDS
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作者 闰澍旺 冯守中 B.Barr 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1998年第4期371-373,375-382,共12页
To predict the behavior of geogrids embedded in sand under pullout loading conditions, the two dimensional plane-stress finite element model was presented. The interactions between soil and geogrid were simulated as ... To predict the behavior of geogrids embedded in sand under pullout loading conditions, the two dimensional plane-stress finite element model was presented. The interactions between soil and geogrid were simulated as non-linear springs, and the stiffness of the springs was determined from simple tests in the specially designed pullout box. The predicted behavior of the geogrid under pullout load agrees well with the observed data including the load-displacement properties, the displacement distribution along the longitudinal direction and the mobilization of the frictional and bearing resistance. (Edited author abstract) 8 Refs. 展开更多
关键词 SAND GEOGRID interaction two dimensional finite-element modelling plane-stress small pullout box pullout rig friction bearing resistance
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