Asymptotic normality of some variables connected with the cyclic structure of random permutations
Sbornik. Mathematics, Tome 28 (1976) no. 1, pp. 107-117

Voir la notice de l'article provenant de la source Math-Net.Ru

Asymptotic normality as $n\to\infty$ is proved for certain random variables connected with the cyclic structure of a random permutation of degree $n$, under a nonuniform probability distribution on the set of all permutations, in particular, the asymptotic normality of the number of all cycles. Bibliography: 7 titles.
@article{SM_1976_28_1_a5,
     author = {Yu. V. Bolotnikov and V. N. Sachkov and V. E. Tarakanov},
     title = {Asymptotic normality of some variables connected with the cyclic structure of random permutations},
     journal = {Sbornik. Mathematics},
     pages = {107--117},
     publisher = {mathdoc},
     volume = {28},
     number = {1},
     year = {1976},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1976_28_1_a5/}
}
TY  - JOUR
AU  - Yu. V. Bolotnikov
AU  - V. N. Sachkov
AU  - V. E. Tarakanov
TI  - Asymptotic normality of some variables connected with the cyclic structure of random permutations
JO  - Sbornik. Mathematics
PY  - 1976
SP  - 107
EP  - 117
VL  - 28
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1976_28_1_a5/
LA  - en
ID  - SM_1976_28_1_a5
ER  - 
%0 Journal Article
%A Yu. V. Bolotnikov
%A V. N. Sachkov
%A V. E. Tarakanov
%T Asymptotic normality of some variables connected with the cyclic structure of random permutations
%J Sbornik. Mathematics
%D 1976
%P 107-117
%V 28
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1976_28_1_a5/
%G en
%F SM_1976_28_1_a5
Yu. V. Bolotnikov; V. N. Sachkov; V. E. Tarakanov. Asymptotic normality of some variables connected with the cyclic structure of random permutations. Sbornik. Mathematics, Tome 28 (1976) no. 1, pp. 107-117. http://geodesic.mathdoc.fr/item/SM_1976_28_1_a5/