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Moments of level numbers of leaves in binary trees - MaRDI portal

Moments of level numbers of leaves in binary trees (Q1347985)

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scientific article; zbMATH DE number 1741605
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Moments of level numbers of leaves in binary trees
scientific article; zbMATH DE number 1741605

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    Moments of level numbers of leaves in binary trees (English)
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    15 May 2002
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    The paper derives closed formulae for all moments for the random variable ``height of leaf \(j\) in the binary tree of size \(n\).'' Case of \(t\)-ary trees is studied as well. The results are achieved in spite of earlier pessimism on the possibility of such closed formulae.
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    binary trees
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    height
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    asymptotic distribution
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    moments
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