Fisher information and matrix-valued valuations

被引：41
|
作者：
Ludwig, Monika [1 ,2 ]
机构：
[1] Vienna Univ Technol, Inst Diskrete Math & Geometrie, A-1040 Vienna, Austria
[2] Polytech Inst New York, Dept Math, Brooklyn, NY 11201 USA
来源：
ADVANCES IN MATHEMATICS | 2011年 / 226卷 / 03期
关键词：
Fisher information matrix; Valuations; Sobolev space; AFFINE ISOPERIMETRIC-INEQUALITIES; MINKOWSKI-FIREY THEORY; INVARIANT VALUATIONS; L-P; CONVEX-SETS; MULTIPLICATIVE STRUCTURE; THEORETIC INEQUALITIES; MIXED VOLUMES; BODIES; MANIFOLDS;
D O I：
10.1016/j.aim.2010.08.021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
All continuous and affinely contravariant matrix-valued valuations on the Sobolev space W-1,W-2 (R-n) are completely classified. It is shown that there is a unique such valuation. This valuation turns out to be the Fisher information matrix. (c) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：2700 / 2711
页数：12
相关论文
共 50 条
12345