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math.ST2023
On Bounded Completeness and the -Denseness of Likelihood Ratios
Marc Hallin, Bas Werker, Bo Zhou
The classical concept of bounded completeness and its relation to sufficiency and ancillarity play a fundamental role in unbiased estimation, unbiased testing, and the validity of…
math.PR2023
Monotone Measure-Preserving Maps in Hilbert Spaces: Existence, Uniqueness, and Stability
Alberto González-Sanz, Marc Hallin, Bodhisattva Sen
The contribution of this work is twofold. The first part deals with a Hilbert-space version of McCann's celebrated result on the existence and uniqueness of monotone measure-preser…