Statistics – Applications
Scientific paper
Nov 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983esasp.201..209k&link_type=abstract
In ESA Statist. Methods in Astron. p 209-213 (SEE N84-19196 09-89)
Statistics
Applications
Deceleration, Hubble Diagram, Maximum Likelihood Estimates, Red Shift, Stellar Evolution, Stellar Luminosity, Stellar Magnitude
Scientific paper
It is shown that the question of luminosity evolution can be usefully separated from that of drawing statistical interferences on the deceleration parameter q0 from an observed Hubble diagram. In all cases, the author first makes a determination on the assumption of no evolution, and the results can then be corrected for any quantified evolution effect. It is shown that a likelihood approach to the statistical problem is feasible. A likelihood function that takes account of the condition that the residual in the absolute magnitude should be uncorrelated with the redshift is proved to be more effective than one that ignores this condition. It is proposed to combine the two likelihood functions into a single one. The present method is illustrated by one specific example throughout, while the results of previous applications are re-stated.
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