论配对单调度量的刻画
概率论
2007-05-23 v2
摘要
Hasegawa 与 Petz 引入了对偶统计单调度量的概念。他们还给出了一个刻画定理,表明 Wigner-Yanase-Dyson 度量是该对偶族中仅有的成员。在本文中我们证明该刻画定理在更一般的假设下依然成立。
引用
@article{arxiv.math/0303059,
title = {On the characterisation of paired monotone metrics},
author = {P. Gibilisco and T. Isola},
journal= {arXiv preprint arXiv:math/0303059},
year = {2007}
}
备注
12 pages, to appear on Ann. Inst. Stat. Math.; v2: changes made to conform to accepted version, title changed as well