Geodesic
Mode and Edgeworth expansion for the Ewens distribution and the Stirling numbers
Journal of integer sequences, Tome 19 (2016) no. 8
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
Classification : 11B73, 60C05, 41A60, 60F05, 60F10 
@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},
     year = {2016},
     volume = {19},
     number = {8},
     zbl = {1367.11029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_8_a4/}
}
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AU  - Kabluchko,  Zakhar
AU  - Marynych,  Alexander
AU  - Sulzbach,  Henning
TI  - Mode and Edgeworth expansion for the Ewens distribution and the Stirling numbers
JO  - Journal of integer sequences
PY  - 2016
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LA  - en
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%0 Journal Article
%A Kabluchko,  Zakhar
%A Marynych,  Alexander
%A Sulzbach,  Henning
%T Mode and Edgeworth expansion for the Ewens distribution and the Stirling numbers
%J Journal of integer sequences
%D 2016
%V 19
%N 8
%U http://geodesic.mathdoc.fr/item/JIS_2016__19_8_a4/
%G en
%F JIS_2016__19_8_a4
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/