Linear Response Estimators for Singular Statistical Models

Chris Elliott; Daniel Murfet

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arXiv · 2605.07970

Linear Response Estimators for Singular Statistical Models

Chris Elliott·Daniel Murfet

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Abstract

We define susceptibilities as a measure of the response of an observable quantity of a parameterized statistical model to a perturbation of the data for a general class of observables. We define estimators for these susceptibilities as statistics in a sequence of n data-points and prove that these estimators are consistent and asymptotically unbiased in the large n regime.

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Chris Elliott, Daniel Murfet. 2026-05-08. Linear Response Estimators for Singular Statistical Models. https://arxiv.org/abs/2605.07970

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