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math.ST2024
Monotone representation and measurability of generalized -estimators
Matyas Barczy, Zsolt Páles
We investigate the monotone representation and measurability of generalized -estimators introduced by the authors in 2022. Our first main result, applying the unique existence o…
math.ST2024
Axiomatic characterisation of generalized -estimators
Matyas Barczy, Zsolt Páles
We give axiomatic characterisations of generalized -estimators and (usual) -estimators (also called -estimators), respectively. The key properties of estimators that come…
math.ST2024
Determining classes for generalized -estimators
Matyas Barczy, Zsolt Páles
We prove that the values of a generalized -estimator (introduced by Barczy and Páles in 2025) on samples of arbitrary length but having only two different observations uniquely…