Mathematics – Probability
Scientific paper
Jun 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...391..483s&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 391, no. 2, June 1, 1992, p. 483-493. Research supported by NSF and OTKA.
Mathematics
Probability
23
Galactic Clusters, Galactic Radio Waves, Monte Carlo Method, Pencil Beams, Probability Distribution Functions, Red Shift, Astronomical Models, Random Processes
Scientific paper
A detailed Monte Carlo simulation is presented of pencil beamlike redshift surveys similar to the ones used by Broadhurst et al. (1990) in Voronoi foams with a controlled amount of randomness, ranging from the fully regular cubic lattice to Poisson Voronoi foam. These models represent a random field with strongly non-Gaussian properties. Fourier statistics along a large number (7200) of 1D pencil beams are calculated, and the probability distributions of the noise level and the height of the largest peak detected are determined. This model makes it possible to study differences between true ensemble averages, and local 'observer's averages' which are obtained when the position of the observer remains unchanged and only the direction of the pencil beam varies, most resembling the way data can be collected in the future. It is found that the probability for finding regularity varies from 3 to 15 percent depending on the details of the models. These probabilities are quite high, although not as high as levels quoted previously.
Subba Rao Mark U.
Szalay Alexander S.
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