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Polarization measurements analysis II. Best estimators of polarization fraction and angle by Montier, L.; Plaszczynski, S.; Levrier, F.; Tristram, M.; Alina, D.; Ristorcelli, I.; Bernard, J. -P.; Guillet, V. is a scholarly article available to read on EtoBox.

What is Polarization measurements analysis II. Best estimators of polarization fraction and angle about?

With the forthcoming release of high precision polarization measurements, such as from the Planck satellite, it becomes critical to evaluate the performance of estimators for the polarization fraction and angle. These two physical quantities suffer from a well-known bias in the presence of measurement noise, as has been described in part I of this series. In this paper, part II of the series, we explore the extent to which various estimators may correct the bias. Traditional frequentist estimators of the polarization fraction are compared with two recent estimators: one inspired by a Bayesian analysis and a second following an asymptotic method. We investigate the sensitivity of these estimators to the asymmetry of the covariance matrix which may vary over large datasets. We present for the first time a comparison among polarization angle estimators, and evaluate the statistical bias on the angle that appears when the covariance matrix exhibits effective ellipticity. We also address the question of the accuracy of the polarization fraction and angle uncertainty estimators. The methods linked to the credible intervals and to the variance estimates are tested against the robust confi

Author

Montier, L.; Plaszczynski, S.; Levrier, F.; Tristram, M.; Alina, D.; Ristorcelli, I.; Bernard, J. -P.; Guillet, V.

Published

2014

Language

EN