Abstract
Maximum-likelihood estimates are made for the exponent p in the phenomenological redshift-distance relation z [unk] rp for galaxies at redshifts ≲0.03, on the basis of redshift (z)-magnitude (m)-apparent diameter (θ) observations given in the Reference Catalogue of Bright Galaxies [de Vaucouleurs, G. & de Vaucouleurs, A. (1964)]. The estimates are in the range 1.96 ≤ p ≤ 2.04 for the full sample of 742 galaxies having m - z - θ data, with dispersions ≲0.08, and in a similar but broader range for various subsamples. Explicit allowance for an observational cut-off in apparent magnitude in the m - z relation reinforces the result that p ∼ 2. Independent estimation based on a cut-off independent generalized Kafka-Schmidt V/Vm test for a subsample in conservatively limited redshift and magnitude ranges, yields p = 2.05.
Keywords: cosmology, galaxy, Hubble law
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