Optimal Estimation of Stokes' Parameters

Details Optimal Estimation of Stokes' Parameters Optimal Estimation of Stokes' Parameters

Jul 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...260..525m&link_type=abstract

Astronomy and Astrophysics, Vol.260:1/JUL(I), P. 525, 1992

Astronomy and Astrophysics

Astrophysics

8

Polarimetry, Stokes' Parameters

Scientific paper

Theoretical work concerning the statistical properties of Stokes' parameters usually relies on the assumption of a normal distribution of the photon counts. However, as we show in the present paper, if the exact Poissonian distribution is used for modelling the photon counts, some important properties about the estimators can be proved. Also the way of estimating Stokes' parameters could be tested. One of the estimators studied is shown to be optimal, and a numerical test of its confidence interval shows that it behaves as a normal one for most cases of practical interest.

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