Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 224, Pages 89–96
DOI: https://doi.org/10.36535/0233-6723-2023-224-89-96 (Mi into1175) 		 
Two sequential test schemes with aftereffect

N. A. Kolokol'nikova

Irkutsk State University
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DOI: https://doi.org/10.36535/0233-6723-2023-224-89-96
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.
Document Type: Article
UDC: 519.1, 519.2
MSC: 60Е05, 60С05, 60Е10
Language: Russian
Citation: N. A. Kolokol'nikova, “Two sequential test schemes with aftereffect”, Differential Equations and Optimal Control, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 224, VINITI, Moscow, 2023, 89–96
Citation in format AMSBIB
\Bibitem{Kol23}
\by N.~A.~Kolokol'nikova
\paper Two sequential test schemes with aftereffect
\inbook Differential Equations and Optimal Control
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 224
\pages 89--96
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1175}
\crossref{https://doi.org/10.36535/0233-6723-2023-224-89-96}
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