赵英文,王乐洋,陈晓勇,鲁铁定

• 1:东华理工大学测绘工程学院
• 2: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
• 3:江西省数字国土重点实验室

摘要(Abstract)：

针对球状模型和指数模型两种变异函数模型线性化后的系数矩阵具有非线性形式,系数矩阵元素含有随机误差等问题,该文使用非线性加权总体最小二乘法估计变异函数模型参数。以高程异常数据为例,利用变异函数值的点对数定权法和系数矩阵中距离值的方差-协方差传播律定权法迭代解算参数,并与最小二乘法,加权最小二乘法和非线性总体最小二乘法进行对比分析。实验结果表明:非线性加权总体最小二乘法能够得到更高精度的变异函数模型参数。

关键词(KeyWords)： 变异函数;非线性加权总体最小二乘法;方差-协方差传播律;球状模型;指数模型

Abstract:

Keywords:

基金项目(Foundation): 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

作者(Author): 赵英文,王乐洋,陈晓勇,鲁铁定

DOI: 10.16251/j.cnki.1009-2307.2017.01.004

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