Geodesic
On some classes of random variables on cycles of permutations
Sbornik. Mathematics, Tome 36 (1980) no. 1, pp. 87-99 
Yu. V. Bolotnikov; V. N. Sachkov; V. E. Tarakanov. On some classes of random variables on cycles of permutations. Sbornik. Mathematics, Tome 36 (1980) no. 1, pp. 87-99. http://geodesic.mathdoc.fr/item/SM_1980_36_1_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper the case of a nonuniform distribution on the set $S_n$ of all permutations of degree $n$ is investigated. Bibliography: 7 titles.

[1] V. L. Goncharov, “Iz oblasti kombinatoriki”, Izv. AN SSSR, seriya matem., 8 (1944), 3–48

[2] V. N. Sachkov, “Ob ekstremalnykh tochkakh prostranstva simmetrichnykh stokhasticheskikh matrits”, Matem. sb., 96(138) (1975), 447–457 | Zbl

[3] V. E. Tarakanov, V. P. Chistyakov, “O tsiklovoi strukture sluchainykh podstanovok”, Matem. sb., 96(138) (1975), 594–600 | MR | Zbl

[4] V. F. Kolchik, V. P. Chistyakov, “K tsiklovoi strukture sluchainykh podstanovok”, Matem. zametki, 18:6 (1975), 929–938 | MR

[5] Yu. V. Bolotnikov, V. N. Sachkov, V. E. Tarakanov, “Asimptoticheskaya normalnost nekotorykh velichin, svyazannykh s tsiklovoi strukturoi sluchainykh podstanovok”, Matem. sb., 99(141) (1976), 121–133 | MR | Zbl

[6] Dzh. Riordan, Vvedenie v kombinatornyi analiz, IL, Moskva, 1963

[7] J. H. Curtiss, “A note on the theory of moment generating functions”, Ann. Math. Statist., 13:3 (1942), 430–433 | DOI | MR | Zbl