On the characterisation of paired monotone metrics

Details On the characterisation of paired monotone metrics On the characterisation of paired monotone metrics

2003-03-05

arxiv.org/abs/math/0303059v2

Mathematics

Probability

12 pages, to appear on Ann. Inst. Stat. Math.; v2: changes made to conform to accepted version, title changed as well

Scientific paper

Hasegawa and Petz introduced the notion of dual statistically monotone
metrics. They also gave a characterisation theorem showing that
Wigner-Yanase-Dyson metrics are the only members of the dual family. In this
paper we show that the characterisation theorem holds true under more general
hypotheses.

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