Statistically efficient parallel testing of the Friedmann and chronometric flux-redshift predictions in the radio band

Details Statistically efficient parallel testing of the Friedmann and chronometric flux-redshift predictions in the radio band Statistically efficient parallel testing of the Friedmann and chronometric flux-redshift predictions in the radio band

Jul 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...430...63s&link_type=abstract

The Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 430, no. 1, p. 63-73

Statistics

Computation

4

Computational Astrophysics, Cosmology, Galactic Evolution, Prediction Analysis Techniques, Radio Sources (Astronomy), Red Shift, Statistical Tests, Astronomical Catalogs, Chronology, Luminosity

Scientific paper

The flux-redshift predictions of Friedmann and chronometric cosmology are subjected to statistically efficent parallel tests on the basis of the 3C catalog of radio sources, as updated by Spinrad et al. (1985). Sub-samples limited in flux, redshift, and spectral index are treated to this end. Luminosity functions are estimated by an optimal nonparametric procedure that does not postulate spatial homogeneity or require completeness in redshift. Directly observed quantities are compared with the predictions of the respective cosmologies, and objective statistical significance levels are determined. Within the frame of the Friedmann cosmology, the dispersion in log flux invariable exceeds the observed value, and the same is true of the correlation of log luminosity with redshift. Over the full redshift range of the sample, extending to Z approximately equal to 2.5, the deviations are significant at the approximately 4 sigma level. On the parallel basis the chronometric predictions are higly consistent with the observations, without evolution or any adjustable cosmological parameter such as q0. Moreover, the chronometric cosmologiy predicts quite accurately the deviations of the Friedmann predictions from direct observations, while the Friedmann cosmology is unable to explain the excellent fit of the chronometric predictions.

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