Central Limit Theorem: A sampling distribution of the mean is approximately normally distributed if the sample size is sufficiently large. This is true no matter what the population distribution is.

The Cramér-von Mises ω2 criterion for testing that a sample, x1, ⋯, xN, has been drawn from a specified continuous distribution F(x) is \begin{equation*}\tag{1}\omega^2 = \int^\infty_{-\infty} \lbrack ...

(1) A simple but general model of density dependent dispersal in an arthropod population is used to explain the relationship between the density and the spatial distribution of two species of mites: ...

Here are four programs that demonstrate sampling distributions. For each one, a "population" of 20,000 elements is established. The user selects a sample size and random samples are drawn from the ...