Geodesic
Two sequential test schemes with aftereffect
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 224 (2023), pp. 89-96

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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, limit theorem.
Mots-clés : distribution 
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     author = {N. A. Kolokol'nikova},
     title = {Two sequential test schemes with aftereffect},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {89--96},
     publisher = {mathdoc},
     volume = {224},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2023_224_a10/}
}
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N. A. Kolokol'nikova. Two sequential test schemes with aftereffect. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 224 (2023), pp. 89-96. http://geodesic.mathdoc.fr/item/INTO_2023_224_a10/