Statistical methods for investigating periodicities in double-galaxy redshifts

Details Statistical methods for investigating periodicities in double-galaxy redshifts Statistical methods for investigating periodicities in double-galaxy redshifts

Jul 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...393...59c&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 393, no. 1, July 1, 1992, p. 59-67.

Mathematics

Probability

9

Bayes Theorem, Galactic Clusters, Probability Distribution Functions, Red Shift, Maximum Likelihood Estimates, Monte Carlo Method

Scientific paper

It is shown how to test binary-galaxy redshift data for periodicities against all possible monotone-decreasing distribution functions. The significance of the periodicity in both radio and optical data remains high. Likelihood methods are used to compare the chances that the data come from periodic versus Newtonian distributions and find that the optical data are greater than about 15 times more likely to come from a truly periodic distribution. The same calculation for a new compilation of radio data shows a likelihood ratio of 3. Bayesian inference techniques are used to show that the data suggest a much higher probability for the quantization than has been the case in the past.

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