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On a theorem of Baer, Schreier, and Ulam for permutations

✍ Scribed by Manfred Droste; Rüdiger Göbel

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
428 KB
Volume
58
Category
Article
ISSN
0021-8693

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A note on applications of the martingale
A note on applications of the martingale central limit theorem to random permutations
✍ Chern-Ching Chao 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 160 KB 👁 2 views

A unified martingale approach is presented for establishing the asymptotic normality of some sequences of random variables. It is applied to the numbers of inversions, rises, and peaks, respectively, as well as the oscillation and the sum of consecutive pair products of a random permutation.