Geodesic
Convergence rates for generalized descents
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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d-descents are permutation statistics that generalize the notions of descents and inversions. It is known that the distribution of d-descents of permutations of length n satisfies a central limit theorem as n goes to infinity. We provide an explicit formula for the mean and variance of these statistics and obtain bounds on the rate of convergence using Stein's method.
DOI : 10.37236/723
Classification : 60F05, 05A05
Mots-clés : permutation statistics, \(d\)-descents of permutations, central limit theorem, Stein's method 
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     author = {John Pike},
     title = {Convergence rates for generalized descents},
     journal = {The electronic journal of combinatorics},
     year = {2011},
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     number = {1},
     doi = {10.37236/723},
     zbl = {1244.60025},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/723/}
}
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John Pike. Convergence rates for generalized descents. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/723

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