Statistics
Scientific paper
Sep 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987mnras.228..407c&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 228, Sept. 15, 1987, p. 407-426.
Statistics
108
Background Radiation, Relic Radiation, Statistical Distributions, Maxwell-Boltzmann Density Function, Rayleigh Distribution, Temperature Distribution
Scientific paper
The authors show how to calculate statistical properties of non-Gaussian random fields. They apply this method to determine the mean size and frequency of occurrence of high and low level excursions of the Rayleigh, Maxwell, Chi-squared, lognormal, rectangular and Gumbel type I random fields. These results permit the authors to calculate the expected size and frequency of fine-scale hotspots and coldspots expected in the microwave background distribution on the sky under the assumption that it possesses non-Gaussian statistics of the above-mentioned types. This generalizes and extends previous studies. The authors also discuss whether it will be possible to determine observationally whether the underlying statistics of the temperature fluctuations in the microwave background are indeed Gaussian as predicted by the standard theory of inflation.
Barrow John D.
Coles Peter
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