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THE RELATIVELY COMPACT CRITERION IN THE FUNCTIONAL SPACES AND ITS APPLICATION IN STATISTICAL STRUCTURE

Ung Ngoc Quang 1
Volume & Issue: Vol. 9 No. 9 (2006) | Page No.: 5-16 | DOI: 10.32508/stdj.v9i9.3059
Published: 2006-09-30

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Copyright The Author(s) 2023. This article is published with open access by Vietnam National University, Ho Chi Minh city, Vietnam. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited. 

Abstract

In this paper, we present a new relatively compact criterion in the functional spaces. By using this criterion, with some conditions on the class of estimators, we prove some theorem on the existence of Bayesian estimators and on the approximation of Bayes estimators by polinomial functions.

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