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math.PR2023
Wasserstein-p Bounds via Cumulant-Based Edgeworth Expansion for -Mixing Random Fields
Tianle Liu, Morgane Austern
We establish normal-approximation bounds in the Wasserstein- distance for -mixing random fields, extending results previously available mainly for independent or locally depe…
math.PR2022
Wasserstein-p Bounds in the Central Limit Theorem Under Weak Dependence
Tianle Liu, Morgane Austern
The central limit theorem is one of the most fundamental results in probability and has been successfully extended to locally dependent data and strongly-mixing random fields. In t…