The statistics of peaks in three-dimensional Gaussian noise - Some simple results

Details The statistics of peaks in three-dimensional Gaussian noise - Some simple results The statistics of peaks in three-dimensional Gaussian noise - Some simple results

Apr 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987mnras.225..777c&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 225, April 15, 1987, p. 777-794.

Astronomy and Astrophysics

Astronomy

16

Cosmology, Dark Matter, Random Noise, Statistical Analysis, Density Distribution, Spectrum Analysis

Scientific paper

Results are presented describing various statistical properties of the peaks in three-dimensional Gaussian noise. The results are expressed in terms of simple, easily calculable integrals. Expressions are given for the mean number density of peaks and its integral and for the local profiles around peaks. The formulae are illustrated for the currently popular n = 1 adiabatic Cold Dark Matter spectrum.

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