| Title |
Asymptotic distributions of the number of restricted cycles in a random permutation / |
| Translation of Title |
Atsitiktinio keitinio apribotų ciklų skaičiaus asimptotiniai skirstiniai. |
| Authors |
Kargina, Tatjana |
| DOI |
10.15388/LMR.2009.75 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys.. Vilnius : Vilniaus universiteto leidykla. 2009, t. 50, p. 420-425.. ISSN 0132-2818. eISSN 2335-898X |
| Keywords [eng] |
symmetric group ; weak convergence ; factorial moments ; convergence of moments ; Ewens probability |
| Abstract [eng] |
The value distribution of additive functions defined on the symmetric group with respect to the Ewens probability is examined. For the number of cycles with restricted lengths, we establish necessary and sufficient conditions under which the distributions convergeweakly to a limit law. |
| Published |
Vilnius : Vilniaus universiteto leidykla |
| Type |
Journal article |
| Language |
English |
| Publication date |
2009 |
| CC license |
|
