Estimation of Variograms by Monotone, Conditionally Negative Definite Functions with Applications in Forestry

单调、条件负定函数的变异函数估计及其在林业中的应用

• 批准号: 69219398
• 负责人: Professor Dr. Martin Schlather
• 金额: --
• 依托单位: Lehrstuhl für Angewandte Stochastik
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2008
• 资助国家: 德国
• 起止时间: 2007-12-31 至 2014-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/69219398?language=en
• 关键词: Estimation; Variograms; Monotone; Conditionally; Negative

Covariance models and variograms that are base on completely monotone functions gain increasing consideration, for both theoretical and practical reasons: (i) univariate models comprise important parametric classes; (ii) available methods for the non-parametric estimation in the case of univariate, stationary and isotropic random fields; (iii) building block for non-stationary models, space-time models and multivariate models.The goal of the project is to deepen the current knowledge of the class and to develop inference methods for more complex situations.

基于完全单调函数的协方差模型和变差函数越来越受到人们的重视，其理论和实际原因是：（i）单变量模型包含重要的参数类，（ii）单变量、平稳和各向同性随机场的非参数估计的可用方法，（iii）单变量、平稳和各向同性随机场的非参数估计的可用方法。（iii）用于非平稳模型的构件，该项目的目标是加深本课程的现有知识，并为更复杂的情况开发推理方法。