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

• Applicant: Professor Dr. Martin Schlather
• Subject Area: Mathematics
• Term: from 2008 to 2015
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 40095828

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.

• DFG Programme: Research Units
• Subproject of: FOR 916: Statistical Regularisation and Qualitative Constraints - Inference, Algorithms, Asymptotics and Applications