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This article is cited in 3 scientific papers (total in 3 papers)
Short Communications
Limit distributions of a characteristic of a random mapping
Yu. L. Pavlov
Petrozavodsk
Abstract:
Random mappings of a set $X_n=\{1,2,…,n\}$ into $X_n$ is considered. Let $\lambda_r^{(n)}$ be the number of trees with $r$ vertices in such a random mapping. The limit distributions of $\lambda_r^{(n)}$ is studied when $n$, $r\to\infty$.
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Theory of Probability and its Applications, 1982, 26:4, 829–834
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Received: 06.04.1979
Citation:
Yu. L. Pavlov, “Limit distributions of a characteristic of a random mapping”, Teor. Veroyatnost. i Primenen., 26:4 (1981), 841–847; Theory Probab. Appl., 26:4 (1982), 829–834
Citation in format AMSBIB
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\jour Theory Probab. Appl.
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\vol 26
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\pages 829--834
\crossref{https://doi.org/10.1137/1126092}
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http://mi.mathnet.ru/eng/tvp3516 http://mi.mathnet.ru/eng/tvp/v26/i4/p841
Citing articles on Google Scholar:
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English articles
This publication is cited in the following articles:
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A. N. Timashev, “Random mappings of finite sets with a known number of
components”, Theory Probab. Appl., 48:4 (2004), 741–751
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A. N. Timashov, “Limit theorems for the joint distribution of component sizes of a random mapping with a known number of components”, Discrete Math. Appl., 21:1 (2011), 39–46
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A. N. Timashov, “Asymptotic expansions for the distribution of the number of components in random mappings and partitions”, Discrete Math. Appl., 21:3 (2011), 291–301
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