Differential geometric aspects of parametric estimation theory for states on finite-dimensional C*-algebras
arXiv:2010.14394 · doi:10.3390/e22111332
Abstract
A geometrical formulation of estimation theory for finite-dimensional -algebras is presented. This formulation allows to deal with the classical and quantum case in a single, unifying mathematical framework. The derivation of the Cramer-Rao and Helstrom bounds for parametric statistical models with discrete and finite outcome spaces is presented.
arXiv comment33 pages. Minor improvements. References added. Comments are welcome!
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