M. Barczy

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math.ST2026

Monotone representation and measurability of generalized $I ¨ $ -estimators

Matyas Barczy, Zsolt PÃ¡les

We investigate the monotone representation and measurability of generalized $I ¨ $ -estimators introduced by the authors in 2022. Our first main result, applying the unique existence…

math.ST2026

Axiomatic characterisation of generalized $I ¨ $ -estimators

Matyas Barczy, Zsolt PÃ¡les

We give axiomatic characterisations of generalized $I ¨ $ -estimators and (usual) $I ¨ $ -estimators (also called $Z$ -estimators), respectively. The key properties of estimators that com…

math.ST2025

Determining classes for generalized $I ¨ $ -estimators

Matyas Barczy, Zsolt PÃ¡les

We prove that the values of a generalized $I ¨ $ -estimator (introduced by Barczy and PÃ¡les in 2025) on samples of arbitrary length but having only two different observations uniquel…

math.ST2025

Existence and uniqueness of weighted generalized $I ¨ $ -estimators

Matyas Barczy, Zsolt PÃ¡les

We introduce the notions of generalized and weighted generalized $I ¨ $ -estimators as unique points of sign change of some appropriate functions, and we give necessary as well as suf…

Monotone representation and measurability of generalized I¨-estimators

Axiomatic characterisation of generalized I¨-estimators

Determining classes for generalized I¨-estimators

Existence and uniqueness of weighted generalized I¨-estimators

Monotone representation and measurability of generalized $I ¨ $ -estimators

Axiomatic characterisation of generalized $I ¨ $ -estimators

Determining classes for generalized $I ¨ $ -estimators

Existence and uniqueness of weighted generalized $I ¨ $ -estimators