Auto-calibration of forecast sequences equals measure-valued martingales, enabling a statistical test for calibration of updating predictions.
(2017).Random measures, theory and applications.Probability Theory and Stochastic Modelling77
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Necessary and sufficient conditions are given for convergence to a unique IPVT on proper pointed measured metric spaces, with proofs for higher-rank symmetric spaces and Diestel-Leader graphs showing parameter independence and distinguishable cells.
Defines the L² over Wasserstein space to equip random probability measures with inherited Riemannian geometry, enabling statistical convergence results and Bayesian posterior consistency in the Wasserstein topology.
Develops clr-based local indicators of mark association for composition-valued marks in spatial point processes to detect local heterogeneity invisible to global metrics.
A unified framework is introduced for finite element and box discretizations of fractional powers of elliptic operators, where mass lumping produces the intrinsic fractional box method and error estimates are derived under consistency assumptions.
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Calibrated Probability Forecast Sequences and Measure-Valued Martingales
Auto-calibration of forecast sequences equals measure-valued martingales, enabling a statistical test for calibration of updating predictions.
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Convergence towards Ideal Poisson--Voronoi tessellations with a focus on Diestel--Leader graphs
Necessary and sufficient conditions are given for convergence to a unique IPVT on proper pointed measured metric spaces, with proofs for higher-rank symmetric spaces and Diestel-Leader graphs showing parameter independence and distinguishable cells.
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$L^2$ over Wasserstein: Statistical Analysis for Optimal Transport
Defines the L² over Wasserstein space to equip random probability measures with inherited Riemannian geometry, enabling statistical convergence results and Bayesian posterior consistency in the Wasserstein topology.
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Uncovering Local Heterogeneity: Local Summary Characteristics for Spatial Point Processes with Composition-Valued Marks
Develops clr-based local indicators of mark association for composition-valued marks in spatial point processes to detect local heterogeneity invisible to global metrics.
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Finite element and box-method discretizations for fractional elliptic problems with quadrature and mass lumping
A unified framework is introduced for finite element and box discretizations of fractional powers of elliptic operators, where mass lumping produces the intrinsic fractional box method and error estimates are derived under consistency assumptions.