Amplitude estimation of a sine function based on confidence intervals and Bayes' theorem

Abstract

This paper discusses the amplitude estimation using data originating from a sine-like function as probability density function. If a simple least squares fit is used, a significant bias is observed for small amplitudes. It is shown that a proper treatment using the Feldman-Cousins algorithm of likelihood ratios allows one to construct improved confidence intervals. Using Bayes' theorem a probability density function is derived for the amplitude. It is used in an application to show that it leads to better estimates compared to a simple least squares fit.

References in corpus (2)

• New method for a continuous determination of the spin tune in storage rings and implications for precision experiments
• Measuring the Polarization of a Rapidly Precessing Deuteron Beam

Cited by in corpus (1)

• First Search for Axion-Like Particles in a Storage Ring Using a Polarized Deuteron Beam