The statistical behaviour of normalized Stokes parameters

Details The statistical behaviour of normalized Stokes parameters The statistical behaviour of normalized Stokes parameters

Oct 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983a%26a...126..260c&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 126, no. 2, Oct. 1983, p. 260-264. Research supported by the Science and Engin

Mathematics

Probability

33

Linear Polarization, Noise Measurement, Polarimetry, Probability Distribution Functions, Radio Astronomy, Signal To Noise Ratios, Statistical Distributions, Stokes Law Of Radiation

Scientific paper

It is demonstrated that because of noise, the distribution of repeated measurements of normalized Stokes parameters is not normal, generally exhibiting both skewness and kurtosis with the former possibly introducing systematic errors in the determinations of mean values. In the limiting case for which the accuracy of the measurements is controlled by the noise of photon counting statistics, it is shown that the distribution, although symmetric, suffers positive kurtosis. However, except for circumstances which provide low photon counts per sample, the differences from normality are small, hardly affecting the standard determinations of confidence intervals. Attention is also drawn to the diversity of ways by which normalized Stokes parameters are calculated.

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