تقرير
Determining classes for generalized $\psi$-estimators
| العنوان: | Determining classes for generalized $\psi$-estimators |
|---|---|
| المؤلفون: | Barczy, Matyas, Páles, Zsolt |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Statistics |
| مصطلحات موضوعية: | Mathematics - Statistics Theory, Mathematics - Classical Analysis and ODEs, 62F10, 26E60, 26D15 |
| الوصف: | We prove that the values of a generalized $\psi$-estimator (introduced by Barczy and P\'ales in 2022) on samples of arbitrary length but having only two different observations uniquely determine the values of the estimator on any sample of arbitrary length without any restriction on the number of different observations. In other words, samples of arbitrary length but having only two different observations form a determining class for generalized $\psi$-estimators. We also obtain a similar statement for the comparison of generalized $\psi$-estimators using comparative functions, and, as a corollary of this result, we derive the Schweitzer's inequality (also called Kantorovich's inequality). Comment: 20 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2402.10817 |
| رقم الأكسشن: | edsarx.2402.10817 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |