The consistent criteria for hypotheses testing

被引:0
|
作者
Purtukhia, Omar [1 ,2 ]
Zerakidze, Zurab [3 ]
机构
[1] I Javakhishvili Tbilisi State Univ, Dept Math, 13 Univ Str, GE-0186 Tbilisi, Georgia
[2] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, 6 Tamarashvili Str, GE-0177 Tbilisi, Georgia
[3] Gori State Teaching Univ, 53 Chavchavadze Ave, GE-1400 Gori, Georgia
关键词
Statistical structure; orthogonal structure; separable structure; strongly separable structure; hypotheses testing; consistent criterion;
D O I
10.1515/gmj-2020-2086
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we define consistent criteria for hypotheses testing, such that the probability of any kind of error is zero for a given criterion. The necessary and sufficient conditions for the existence of such criteria are given.
引用
收藏
页码:787 / 791
页数:5
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