Mathematics – Probability
Scientific paper
Feb 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982natur.295..577z&link_type=abstract
Nature, vol. 295, Feb. 18, 1982, p. 577, 578.
Mathematics
Probability
4
Alignment, Computerized Simulation, Probability Distribution Functions, Quasars, Red Shift, Spatial Distribution, Statistical Distributions, Angular Distribution, Binomial Coefficients, Collinearity, Probability Theory, Sky
Scientific paper
An angular definition of alignment is used to determine the likelihood that observed alignments of triplets of quasars are due to chance. The bounds of alignment are defined, and an estimate is made of the probability of the alignment of three randomly distributed points within the defined angular bounds. The shape of the area considered is noted to have an effect on the probability, with the observed quasar field (Arp and Hazard, 1980) being a 40 x 50 arcmin rectangle, which for an angle of 1 deg yields a probability of 0.00596. The probabilities for multiple alignments are calculated using 40,000 computer trial random fields. The existence of the two alignments observed by Arp and Hazard in the particular sky region is found to correspond to a probability of 0.074, and it is concluded that the arrangement is random, and more alignments will be observed.
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