Abstract:
Two variants of the urn scheme with aftereffect are described. Using $\mathrm{A}$- and $\Phi$-schemes of sequential tests, we find an explicit distribution of the number of removed balls of a certain color, obtain numerical characteristics of the distribution, and prove limit theorems.
Keywords:urn scheme, $\mathrm{A}$-scheme of sequential tests, $\Phi$-scheme of sequential tests, probability, distribution, limit theorem.