Mathematics – Probability
Scientific paper
Dec 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982japa....3..363k&link_type=abstract
Journal of Astrophysics and Astronomy (ISSN 0250-6335), vol. 3, Dec. 1982, p. 363-378.
Mathematics
Probability
Cosmology, Deceleration, Luminosity, Probability Density Functions, Quasars, Bayes Theorem, Hubble Diagram, Red Shift, Spectral Line Width, Statistical Distributions
Scientific paper
A statistical algorithm for obtaining the posterior probability density of the deceleration parameter from quasars where there is a luminosity indicator available has been worked out. The algorithm takes into account the measured values of apparent magnitude, the redshift, and the quantity identified with the luminosity indicator. The construction of the algorithm is described, including the basic functional relation, the search for test statistics, the Hubble and distance-modulus-redshift diagrams, and the Bayesian probability. A specific application to flat radio spectrum quasars with published equivalent widths of the C IV, Mg II, or Lyman alpha emission lines is made, using the recent form of Baldwin's relation as luminosity indicator. It is found that log of the deceleration parameter is normally distributed with a mean value of +0.270 + or - 0.135 (s.d.) or +1.86 + or - 0.135 dex.
Cheng Fu-Hua
Kiang Tao
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