2 papers
math.FA2009
Domain of attraction of Gaussian probability operators in quantum limit theory
Katarzyna Lubnauer, Andrzej Łuczak
We characterise the class of probability operators belonging to the domain of attraction of Gaussian limits in the setup which is a slight generalisation of Urbanik's scheme of non…
quant-ph2009
Weakly sufficient quantum statistics
Katarzyna Lubnauer, Andrzej Łuczak, Hanna Podsȩdkowska
Some aspects of weak sufficiency of quantum statistics are investigated. In particular, we give necessary and sufficient conditions for the existence of a weakly sufficient statist…