Mathematics – Logic
Scientific paper
Feb 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mnras.212..657p&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 212, Feb. 1, 1985, p. 657-661.
Mathematics
Logic
18
Data Sampling, Galactic Clusters, Statistical Correlation, Autocorrelation, Density (Number/Volume), Universe
Scientific paper
The three-dimensional two-point correlation function xi (used in the statistical study of galaxy clustering) and its relationships to other statistical functions are investigated analytically. An expression relating the properties of Sigma, the projected surface density of galaxies seen near a galaxy of known distance, to those of xi is derived, and a procedure for calculating xi for a sample of galaxies with limited distance data, requiring only the value of the luminosity function for a given absolute magnitude, is developed. Applications of Sigma to the estimation of the cosmological density parameter Omega and to studies of anticlustering tendencies in the early universe are suggested.
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