Computer Science – Numerical Analysis
Scientific paper
Dec 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993a%26a...280..443t&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 280, no. 2, p. 443-450
Computer Science
Numerical Analysis
22
Distance, Galaxies, Numerical Analysis, Spatial Distribution, Stars, Density (Number/Volume), Homogeneity, Luminosity, Magnitude
Scientific paper
This discussion intends to clarify and unify, in terms of direct and inverse relations, certain points in the recent paper by Landy and Szalay (1992) and in the earlier ones by Feast (1972, 1987) concerning general Malmquist corrections to distance moduli from Tully-Fisher or similar relations. A consistent picture follows when it is noted that Feast's formula is based on the implicit assumption of an inverse TF-relation, while Landy & Szalay's approach can be regarded as based either on the direct relation with ml = infinity, causing their problem with magnitude limited samples, or on the inverse relation in which case the problem does not arise. It is described how the general correction can in principle be derived for magnitude limited data (direct relation). The special behavior of the Malmquist bias in the inverse TF-relation distance moduli is illustrated by a numerical experiment. By refering to analysis of V vs. r diagrams, it is noted where the general corrections are actually strictly applicable. This turns out to be restricted to the case of the linear Hubble law, and special care is needed when analyzing the data points in a V vs. r diagram.
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