Statistics Theory

math.ST

Applied and theoretical statistics including point estimation and hypothesis testing.

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Divergence Estimators Get a Model-Invariant Robustness Rule

A Pareto-frontier analysis of GABD estimators identifies an extended $(\phi,\gamma)$ divergence that minimizes asymptotic variance at a chosen breakdown point.

Jul 13, 20264 min2607.04343

Poincaré Bases Extend Gradient Sensitivity Analysis Beyond Polynomials

A Sturm--Liouville chaos basis makes derivative information orthogonal, improving Sobol index estimation on toy and flood models with small designs.

Jul 13, 20265 min2510.03056