Statistics – Computation
Scientific paper
Nov 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...399....1b&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 399, no. 1, p. 1-9.
Statistics
Computation
10
Computational Astrophysics, Cosmology, Distance, Galactic Clusters, Regression Analysis, Luminosity, Magnitude
Scientific paper
The paper examines aspects of employing the Tully-Fisher relation to estimate magnitudes and distances, with particular emphasis on the effect of the luminosity function on the theoretical estimation of regression parameters, unbiased estimates of absolute magnitude, and the Malmquist bias of field galaxies. Results for linear regression and expectation estimators for Gaussian and Schecter luminosity functions are compared. There is a marked dependence of these parameters upon the limiting magnitude and upon the luminosity function when the limiting magnitude is comparable to or brighter than the Schecter magnitude, M*. For field galaxies fainter than M*, there is no practical difference in the Malmquist bias derived from either Schecter or Gaussian luminosity functions. The Malmquist bias for the Schecter function diverges significantly from the constant value derived from the Gaussian luminosity function when the absolute magnitude is brighter than M*.
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