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2018 Quantum non demolition measurements: Parameter estimation for mixtures of multinomials
Tristan Benoist, Fabrice Gamboa, Clément Pellegrini
Electron. J. Statist. 12(1): 555-571 (2018). DOI: 10.1214/18-EJS1396

Abstract

In Quantum Non Demolition measurements, the sequence of observations is distributed as a mixture of multinomial random variables. Parameters of the dynamics are naturally encoded into this family of distributions. We show the local asymptotic mixed normality of the underlying statistical model and the consistency of the maximum likelihood estimator. Furthermore, we prove the asymptotic optimality of this estimator as it saturates the usual Cramér Rao bound.

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Tristan Benoist. Fabrice Gamboa. Clément Pellegrini. "Quantum non demolition measurements: Parameter estimation for mixtures of multinomials." Electron. J. Statist. 12 (1) 555 - 571, 2018. https://doi.org/10.1214/18-EJS1396

Information

Received: 1 July 2017; Published: 2018
First available in Project Euclid: 23 February 2018

zbMATH: 1388.81018
MathSciNet: MR3768183
Digital Object Identifier: 10.1214/18-EJS1396

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Vol.12 • No. 1 • 2018
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