Astronomy and Astrophysics – Astronomy
Scientific paper
Jan 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991mnras.248....1c&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 248, Jan. 1, 1991, p. 1-13.
Astronomy and Astrophysics
Astronomy
264
Astronomical Models, Cosmology, Mass Distribution, Statistical Distributions, Density Distribution, Galactic Evolution, Monte Carlo Method, Normal Density Functions
Scientific paper
The use of a lognormal (LN) random field, non-Gaussian random field as a model for the distribution of matter in the universe is discussed. As the general LN field includes the Gaussian case in the limit of zero rms fluctuation it is possible to perform a statistical decomposition. The statistical properties of the model can be formulated in terms of one covariance function. Difficulties with the statistical treatment of density perturbations such as the fact that the LN model is not completely specified by its moments have been revealed by analysis of the model. It is shown that for discriminating between Gaussian and non-Gaussian fluctuations the method of representing the three- and four-point correlation functions of galaxies in terms of the parameters Q and R is not useful. Parameterizations in terms of the skewness and kurtosis are proposed.
Coles Peter
Jones Bernard
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