Geodesic
Mode and Edgeworth expansion for the Ewens distribution and the Stirling numbers
Journal of integer sequences, Tome 19 (2016) no. 8.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We provide asymptotic expansions for the Stirling numbers of the first kind and, more generally, the Ewens (or Karamata-Stirling) distribution. Based on these expansions, we obtain some new results on the asymptotic properties of the mode and the maximum of the Stirling numbers and the Ewens distribution. For arbitrary $\theta0$ and for all sufficiently large $n\in\mathbb{N} $, the unique maximum of the Ewens probability mass function 
@article{JIS_2016__19_8_a4,
     author = {Kabluchko, Zakhar and Marynych, Alexander and Sulzbach, Henning},
     title = {Mode and {Edgeworth} expansion for the {Ewens} distribution and the {Stirling} numbers},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {19},
     number = {8},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_8_a4/}
}
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Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning. Mode and Edgeworth expansion for the Ewens distribution and the Stirling numbers. Journal of integer sequences, Tome 19 (2016) no. 8. http://geodesic.mathdoc.fr/item/JIS_2016__19_8_a4/