The Number of Inversions and the Major Index of Permutations
نویسنده
چکیده
We use recurrences (alias difference equations) to prove that the two most important permutation statistics, namely the number of inversions and the major index, are asymptotically joint-independently-normal. We even derive more-precise-than-needed asymptotic formulas for the (normalized) mixed moments.
منابع مشابه
Generalized Worpitzky Identities with Applications to Permutation Enumeration
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