Analysis of Zeeman effect data in radio astronomy

Details Analysis of Zeeman effect data in radio astronomy Analysis of Zeeman effect data in radio astronomy

Oct 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apjs...74..437s&link_type=abstract

Astrophysical Journal Supplement Series (ISSN 0067-0049), vol. 74, Oct. 1990, p. 437-461.

Astronomy and Astrophysics

Astronomy

18

Interstellar Magnetic Fields, Radio Astronomy, Zeeman Effect, Field Strength, Least Squares Method, Maximum Likelihood Estimates, Signal To Noise Ratios

Scientific paper

The analysis of Zeeman effect data in radio astronomy is discussed; in particular, previous techniques are extended to include the case of low signal-to-noise ratios. Three statistical techniques for estimating the line-of-sight magnetic field are considered: maximum likelihood, least-squares, and Wiener filters. For high signal-to-noise ratios, all three estimators are essentially unbiased. It is concluded that, in the poor to moderate signal-to-noise ratio regime, all three estimators are biased; the maximum likelihood technique yields results that are, in general, substantially less biased than least-squares and Wiener filters. However, it is possible to 'debias' the least-squares results and obtain estimates that are as good as maximum likelihood under a restricted set of conditions.

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