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math.ST2024
Basic properties of generalized -estimators
Matyas Barczy, Zsolt Páles
We establish several properties of (weighted) generalized -estimators introduced by Barczy and Páles in 2022: mean-type, monotonicity and sensitivity properties, bisymmetry-type…
math.ST2023
Comparison and equality of generalized -estimators
Matyas Barczy, Zsolt Páles
We solve the comparison problem for generalized -estimators introduced in Barczy and Páles (2022). Namely, we derive several necessary and sufficient conditions under which a ge…
math.ST2022★ 1 cited
Existence and uniqueness of weighted generalized -estimators
Matyas Barczy, Zsolt Páles
We introduce the notions of generalized and weighted generalized -estimators as unique points of sign change of some appropriate functions, and we give necessary as well as suff…