449 citations · 2.1k across the 35 of their papers we have counts for
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Strictly and non-strictly positive definite functions on spheres
Tilmann Gneiting
Isotropic positive definite functions on spheres play important roles in spatial statistics, where they occur as the correlation functions of homogeneous random fields and star-sha…
Combining Predictive Distributions
Tilmann Gneiting, Roopesh Ranjan
Predictive distributions need to be aggregated when probabilistic forecasts are merged, or when expert opinions expressed in terms of probability distributions are fused. We take a…
Local proper scoring rules of order two
Werner Ehm, Tilmann Gneiting
Scoring rules assess the quality of probabilistic forecasts, by assigning a numerical score based on the predictive distribution and on the event or value that materializes. A scor…
Estimators of Fractal Dimension: Assessing the Roughness of Time Series and Spatial Data
Tilmann Gneiting, Hana Ševčíková, Donald B. Percival
The fractal or Hausdorff dimension is a measure of roughness (or smoothness) for time series and spatial data. The graph of a smooth, differentiable surface indexed in $\mathbb{R}^…