Identitäten bei den Stirling-Zahlen 2.Art aus kombinatorischen Überlegungen beim Würfelspiel.
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Roland Wyss (1996)
Elemente der Mathematik
Dohmen, Klaus (1999)
Electronic Journal of Probability [electronic only]
Dohmen, Klaus (1998)
The Electronic Journal of Combinatorics [electronic only]
Kessler, David, Schiff, Jeremy (2002)
Electronic Communications in Probability [electronic only]
István Fazekas, Alexey Chuprunov, József Túri (2011)
Annales UMCS, Mathematica
Random allocations of balls into boxes are considered. Properties of the number of boxes containing a fixed number of balls are studied. A moment inequality is obtained. A merge theorem with Poissonian accompanying laws is proved. It implies an almost sure limit theorem with a mixture of Poissonian laws as limiting distribution. Almost sure versions of the central limit theorem are obtained when the parameters are in the central domain.
Dohmen, Klaus, Tittmann, Peter (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Kahn, Jeff (2003)
Electronic Communications in Probability [electronic only]
Alessandro Berarducci, Pietro Majer, Matteo Novaga (2012)
Fundamenta Mathematicae
We study the thresholds for the emergence of various properties in random subgraphs of (ℕ, <). In particular, we give sharp sufficient conditions for the existence of (finite or infinite) cliques and paths in a random subgraph. No specific assumption on the probability is made. The main tools are a topological version of Ramsey theory, exchangeability theory and elementary ergodic theory.
Lember, Jüri, Matzinger, Heinrich (2008)
Electronic Journal of Probability [electronic only]
Maurice D'Ocagne (1887)
Bulletin de la Société Mathématique de France
Bender, Edward A., Canfield, E.Rodney (1999)
The Electronic Journal of Combinatorics [electronic only]
Bender, Edward A., Lawler, Gregory F., Pemantle, Robin, Wilf, Herbert S. (2003)
Séminaire Lotharingien de Combinatoire [electronic only]
Zbigniew Pałka (1982)
Colloquium Mathematicae
Z. Palka (1982)
Applicationes Mathematicae
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