The clustering of local maxima in random noise

Details The clustering of local maxima in random noise The clustering of local maxima in random noise

May 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989mnras.238..319c&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 238, May 1, 1989, p. 319-348.

Statistics

Computation

30

Computational Astrophysics, Galactic Clusters, Maxima, Random Noise, Approximation, Monte Carlo Method, Perturbation Theory, Statistical Correlation

Scientific paper

The clustering properties of local maxima of random one-dimensional noise are studied numerically and analytically. The two-point correlation function of local maxima is estimated for both Gaussian and non-Gaussian noise. It is found that the cluster-cluster correlation function is clearly positive at distances where, according to the cold dark matter model, it should be negative if clusters are identified with peaks of a Gaussian random field. In addition, the distribution of the nearest-neighbor distances for local maxima are examined, confirming the results of Einasto and Einasto (1987).

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