Mathematics – Logic
Scientific paper
Dec 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975pnas...72.4691n&link_type=abstract
Proceedings of the National Academy of Sciences of the United States of America, Volume 72, Issue 12, pp. 4691-4695
Mathematics
Logic
9
Scientific paper
Maximum-likelihood estimates are made for the exponent p in the phenomenological redshift-distance relation z propto rp for galaxies at redshifts lesssim 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 lesssim 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.
Nicoll J. F.
Segal I. E.
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