The so-called Lindley paradox is a counterintuitive statistical effect where the Bayesian and frequentist approaches to hypothesis testing give radically different answers, depending on the choice of the prior distribution. In this paper we address the occurrence of the Lindley paradox in optical interferometry and discuss its implications for high-precision measurements. In particular, we focus on phase estimation by Mach-Zehnder interferometers and show how to mitigate the conflict between the two approaches by using suitable priors.
The Lindley paradox in optical interferometry / C. Mauri, M. Paris. - In: PHYSICS LETTERS A. - ISSN 0375-9601. - 380:4(2016 Feb 05), pp. 570-576. [10.1016/j.physleta.2015.11.040]
The Lindley paradox in optical interferometry
M. ParisSecondo
2016
Abstract
The so-called Lindley paradox is a counterintuitive statistical effect where the Bayesian and frequentist approaches to hypothesis testing give radically different answers, depending on the choice of the prior distribution. In this paper we address the occurrence of the Lindley paradox in optical interferometry and discuss its implications for high-precision measurements. In particular, we focus on phase estimation by Mach-Zehnder interferometers and show how to mitigate the conflict between the two approaches by using suitable priors.File | Dimensione | Formato | |
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