Gaussian Limit Theorems for the Number of Given Value Cells in the Non-Homogeneous Generalized Allocation Scheme.

In some non-homogeneous generalized allocation schemes we formulate conditions under which the number of given value cells from the first K cells converges to a Gaussian random variable. This result is applied to the study of the type I error and the type II error for analogs of the empty boxes test. [ABSTRACT FROM AUTHOR]