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

• Antragsteller: Professor Dr. Martin Schlather
• Fachliche Zuordnung: Mathematik
• Förderung: Förderung von 2008 bis 2015
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 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-Verfahren: Forschungsgruppen
• Teilprojekt zu: FOR 916: Swiss-German Bilateral Research Unit on: Statistical Regularisation and Qualitative Constraints - Inference, Algorithms, Asymptotics and Applications