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《Science of Surveying and Mapping》 2017-01
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Parameter estimation of variogram model by nonlinear weighted total least squares

ZHAO Yingwen;WANG Leyang;CHEN Xiaoyong;LU Tieding;Faculty of Geomatics,East China Institute of Technology;Key Laboratory of Watershed Ecology and Geographical Environment Monitoring of NASG;Jiangxi Province Key Lab for Digital Land;  
Since coefficient matrices of linearized spherical model and exponential model of variogram had nonlinear property and stochastic errors existed in elements of those,nonlinear weighted total least squares was applied to estimate parameter of variogram model in this paper.with number of points weighted method of variogram and weighted method of distance in coefficient matrix derived by variance-covariance propagation law,the parameter was calculated iteratively.This method was compared with least squares,weighted least squares and nonlinear total least squares by data of height anomaly.The experimental results indicated that more accurate parameter estimation of variogram model could be obtained by nonlinear weighted total least squares.
【Fund】: 国家自然科学基金项目(41204003;41161069;41304020;41464001);; 测绘地理信息公益性行业科研专项(201512026);; 江西省自然科学基金项目(20132BAB216004;20151BAB203042);; 江西省教育厅科技项目(GJJ13456;KJLD12077;KJLD14049);; 流域生态与地理环境监测国家测绘地理信息局重点实验室开放基金项目(WE2015005);; 东华理工大学博士科研启动资金项目(DHBK201113);东华理工大学研究生创新专项资金项目(DHYC-2015005);; 江西省研究生创新专项资金项目(YC2015-S266 YC2015-S267);; 测绘地理信息江西省研究生教育创新基地资助项目
【CateGory Index】: P207
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