The behaviour of (k,…,kn,n−ik)ci/i! is asymptotically normal |
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Authors: | Andrzej Ruciński |
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Institution: | Institute of Mathematics, Adam Mickiewicz University, ul. Matejki 48/49, 60-769 Poznań, Poland |
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Abstract: | Let N(n,i) = (k,…,kn,n?ik)ci/i, i = O.…,n/k]. We prove that the random variable Xn such that has asymptotically (n → ∞) a normal distribution and we give some combinatorial applications of this result.We also improve a result of Godsil 3] dealing with matchings in graph. |
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