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MiS Preprint
100/2020

Differential geometric aspects of parametric estimation theory for states on finite-dimensional C*-algebras

Florio Maria Ciaglia, Jürgen Jost and Lorenz J. Schwachhöfer

Abstract

A geometrical formulation of estimation theory for finite-dimensional C*-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.

Received:
Oct 27, 2020
Published:
Oct 27, 2020

Related publications

inJournal
2020 Journal Open Access
Florio M. Ciaglia, Jürgen Jost and Lorenz J. Schwachhöfer

Differential geometric aspects of parametric estimation theory for states on finite-dimensional \(C^{\star}\)-algebras

In: Entropy, 22 (2020) 11, p. 1332