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Statistically efficient testing of the hubble and lundmark laws on IRAS galaxy samples

The local redshift-distance (z-r) power laws, z∞r p , of exponents p=1, 2, which are predicted respectively by generic big bang cosmology and chronometric cosmology, are tested on flux- and redshift-limited subsamples of the sample of Strauss et al. (1992). The completeness of this sample at 60 μm makes possible statistically optimal nonparametric estimates of the corresponding luminosity functions, which are used for the tests. The present analysis is basically free of assumptions regarding the spatial distribution of the galaxies; only the absence of selection on flux down to its limiting value, at each given redshift, is used