| Abstract
| - Evolution of the statistical distribution of the density field is investigated by means of a counts-in-cells method in a low-density cold dark matter (CDM) simulated universe. Four model distributions, namely the negative binomial distribution, the lognormal distribution, the Edgeworth series and the skewed lognormal distribution, are tested to fit the calculated distribution function, and it is shown that only the skewed lognormal distribution of second- and third-order can describe the evolution of the statistical distribution perfectly well from the initially Gaussian regime to the present stage. The effect of sparse sampling is also investigated, and we conclude that in order to reconstruct the underlying density distribution we should use a sample with a galaxy number density larger than ∼ 0.01h−3 Mpc−3.
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