A general analytical solution to the problem of Malmquist bias due to lognormal distance errors

Details A general analytical solution to the problem of Malmquist bias due to lognormal distance errors A general analytical solution to the problem of Malmquist bias due to lognormal distance errors

Jun 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...391..494l&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 391, no. 2, June 1, 1992, p. 494-501. Research supported by NSF, OTKA, and

Other

38

Distance, Galaxies, Monte Carlo Method, Red Shift, Statistical Analysis, Bayes Theorem, Computerized Simulation, Elliptical Galaxies, Hubble Diagram, Radial Distribution, Radial Velocity

Scientific paper

An analytical solution to the problem of statistically correcting for distance bias in a galaxy data set is presented. Given an unknown intrinsic radial distribution of galaxies and their estimated distances with lognormal errors, the optimal correction to the galaxy's estimated distances is computed. These 'Malmquist' corrections are calculated by utilizing the information contained in the distribution of estimated distances in the data set. The systematic errors introduced into galactic distances and the galactic velocity field are investigated by this and other Malmquist correction methods around an overdensity modeled after that of the Great Attractor region. The inclusion of a zero-point constant in the Hubble flow fit to the galactic velocity field is found to act as a good indicator of inadequate Malmquist correction. These results are applied to an elliptical galaxy set in the direction of the Great Attractor, and it is shown that much of the signal may be an artifact due to Malmquist correction.

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