Convergence Rates for Generalized Descents
Copyright policy ) John Pike;
Convergence Rates for Generalized Descents
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.
- University of California System United States
- University of Southern California United States
Permutations, words, matrices, permutation statistics, central limit theorem, Central limit and other weak theorems, Stein's method, \(d\)-descents of permutations
Permutations, words, matrices, permutation statistics, central limit theorem, Central limit and other weak theorems, Stein's method, \(d\)-descents of permutations
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selected citations
Citations provided by BIP!
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 6
Top 10%
Average
Average
gold
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