  In 1914, Eddington derived a formula for the difference between the mean
absolute magnitudes of stars "in space" or gathered "from the sky". Malmquist
(1920) derived a general relation for this difference in Euclidean space. Here
we study this statistical bias in cosmology, clarifying and expanding previous
work.
  We derived the Malmquist relation within a general cosmological framework,
including Friedmann's model, analogously to the way Malmquist showed in 1936
that his formula is also valid in the presence of extinction in Euclidean
space. We also discuss some conceptual aspects that explain the wide scope of
the bias relation.
  The Malmquist formula for the intrinsic difference <M>_m - M_0 = - sigma_M^2
dlna(m)/dm is also valid for observations made in an expanding Friedmann
universe. This is holds true for bolometric and finite-band magnitudes when
a(m) refers to the distribution of observed (uncorrected for K-effect or
z-dependent extinction) apparent magnitudes.
