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Diskretnaya Matematika, 2002, Volume 14, Issue 3, Pages 149–159
DOI: https://doi.org/10.4213/dm262 (Mi dm262) 		 
Limit distribution for the number of pairs in a generalized scheme of arrays

Yu. L. Pavlov, E. V. Cherepanova
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DOI: https://doi.org/10.4213/dm262
Abstract: We consider three combinatorial problems covered by generalised allocation scheme: sampling of balls from an urn that contains balls of various colours; random forests; and random permutations with given number of cycles. For these problems, we present limit distributions of the number of pairs of balls of the same colour; of the number of paths in a forest; and of the number of simple (non-closed) paths in the permutation graph respectively.
This research was supported by the Russian Foundation for Basic Research, grant 00–01–00233.
Received: 17.06.2002
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: Yu. L. Pavlov, E. V. Cherepanova, “Limit distribution for the number of pairs in a generalized scheme of arrays”, Diskr. Mat., 14:3 (2002), 149–159; Discrete Math. Appl., 12:4 (2002), 421–429
Citation in format AMSBIB
\Bibitem{PavChe02}
\by Yu.~L.~Pavlov, E.~V.~Cherepanova
\paper Limit distribution for the number of pairs in a generalized scheme of arrays
\jour Diskr. Mat.
\yr 2002
\vol 14
\issue 3
\pages 149--159
\mathnet{http://mi.mathnet.ru/dm262}
\crossref{https://doi.org/10.4213/dm262}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1952787}
\zmath{https://zbmath.org/?q=an:1046.60022}
\transl
\jour Discrete Math. Appl.
\yr 2002
\vol 12
\issue 4
\pages 421--429
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    		Дискретная математика
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