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Féray, Valentin (2020). Central limit theorems for patterns in multiset permutations and set partitions. Annals of Applied Probability, 30(1):287-323.
We use the recently developed method of weighted dependency graphs to prove central limit theorems for the number of occurrences of any fixed pattern in multiset permutations and in set partitions. This generalizes results for patterns of size 2 in both settings, obtained by Canfield, Janson and Zeilberger and Chern, Diaconis, Kane and Rhoades, respectively.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 340 Law
610 Medicine & health 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistics and Probability
Social Sciences & Humanities > Statistics, Probability and Uncertainty |
| Uncontrolled Keywords: | Statistics, Probability and Uncertainty, Statistics and Probability |
| Language: | English |
| Date: | 1 February 2020 |
| Deposited On: | 17 Dec 2020 14:14 |
| Last Modified: | 24 Dec 2024 02:38 |
| Publisher: | Institute of Mathematical Statistics |
| ISSN: | 1050-5164 |
| Additional Information: | https://projecteuclid.org/euclid.aoap/1582621225 |
| OA Status: | Green |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1214/19-aap1502 |
Féray, Valentin