Basic properties of generalized $\psi$-estimators

We establish several properties of (weighted) generalized $\psi$-estimators introduced by Barczy and P\'ales in 2022: mean-type, monotonicity and sensitivity properties, bisymmetry-type inequality, and some asymptotic and continuity properties. We also illustrate these properties by providing several examples including statistical ones as well.

Authors

Publication Details

Journal
Publicationes Mathematicae Debrecen
Published
2025-04-01
DOI
https://doi.org/10.5486/pmd.2025.10085
Citations
1
Primary Topic
Statistical Methods and Inference
Type
article
Field-Weighted Citation Impact
2.63
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article

Basic properties of generalized $\psi$-estimators

Mátyás Barczy, Zsolt Páles
1 citations
Publicationes Mathematicae Debrecen
Statistical Methods and Inference
2.63
article

Basic properties of generalized $\psi$-estimators

Mátyás Barczy, Zsolt Páles
article en
1 citations

Abstract

We establish several properties of (weighted) generalized $\psi$-estimators introduced by Barczy and P\'ales in 2022: mean-type, monotonicity and sensitivity properties, bisymmetry-type inequality, and some asymptotic and continuity properties. We also illustrate these properties by providing several examples including statistical ones as well.

Publicationes Mathematicae DebrecenVol. 106(3-4)
Openalex Percentile: Top 13%
Statistical Methods and Inference
2.63
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Basic properties of generalized $\psi$-estimators — Mátyás Barczy, Zsolt Páles · Publicationes Mathematicae Debrecen (2025) | TGRS Research Map | TGRS