Comparison and Equality of Bajraktarevi´c-type ψ-estimators

Authors

DOI:

https://doi.org/10.57805/revstat.v24i1.703

Keywords:

ψ-estimator, Z-estimator, comparison of estimators, equality of estimators, quasi-arithmetic-type estimator, Bajraktarević-type ψ-estimators

Abstract

We solve the comparison problem for Bajraktarević-type ψ-estimators introduced by Barczy and Páles in 2022. Namely, we derive several necessary and sufficient conditions under which a Bajraktarević-type ψ-estimator is less than or equal to another Bajraktarević-type ψ-estimator for any sample. We also solve the corresponding equality problem. As an important particular case, we obtain the solutions of the two problems in question for quasi-arithmetic-type ψ-estimators.

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Published

2026-03-16

Issue

Vol. 24 No. 1 (2026): REVSTAT-Statistical Journal

Section

Article

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Copyright (c) 2026 REVSTAT-Statistical Journal

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Barczy, M., & Páles, Z. (2026). Comparison and Equality of Bajraktarevi´c-type ψ-estimators. REVSTAT-Statistical Journal, 24(1), 71-89. https://doi.org/10.57805/revstat.v24i1.703