Point and interval estimation of the true unbiased degree of linear polarization in the presence of low signal-to-noise ratios

Mathematics – Probability

Scientific paper

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Astronomy, Bias, Linear Polarization, Polarimetry, Radiation Sources, Confidence Limits, Estimating, Maximum Likelihood Estimates, Probability Distribution Functions, Radio Astronomy, Signal To Noise Ratios

Scientific paper

Four estimators which attempt to correct for biasing in the degree of linear polarization are discussed for the specific case when the errors on an observation of the normalised Stokes parameters q and u are known and assumed equal to σ. These estimators are the maximum likelihood, the median, Serkowski's mean estimator used by optical astronomers and Wardle and Kronberg's "most probable" which is often applied in radio astronomy. The authors also briefly discuss particular areas where applications of these results are important, namely in polarimetric standards, stellar populations, binary stars, interstellar polarization and extinction measurements at high galactic latitudes.

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