Malmquist bias in a relation of the form M = AP + B

Details Malmquist bias in a relation of the form M = AP + B Malmquist bias in a relation of the form M = AP + B

Dec 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984a%26a...141..407t&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 141, no. 2, Dec. 1984, p. 407-410.

Astronomy and Astrophysics

Astrophysics

98

Astrometry, Galaxies, Hubble Constant, Stellar Magnitude, Stellar Spectrophotometry, Distance, Gauss Equation

Scientific paper

Malmquist bias is discussed in the case where absolute magnitudes are derived from a relation M = amp+b where p is a distance-independent measurable parameter. It is shown that the amount of bias at constant observed p depends on (1) the intrinsic scatter of the relation, (2) the observational random errors in p, and (3) the luminosity function of the objects. A generalized Malmquist formula for the case where the luminosity function is gaussian, is given. The importance of the observational error in p is emphasized. The distance-dependence of the bias as averaged over p is discussed.

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