Geodesic
On frequencies of elements in multicyclic random sequence modulo 4
Diskretnaya Matematika, Tome 26 (2014) no. 4, pp. 51-58
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Sufficient conditions for the joint distribution of frequences of elements on the cycle of the random multicyclic sequence modulo 4 to converge to the limit distribution are given. This limit distribution and some of its properties are described.
Keywords: multicyclic sequence, Pohl generator, limit theorems. 
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N. M. Mezhennaya; V. G. Mikhailov. On frequencies of elements in multicyclic random sequence modulo 4. Diskretnaya Matematika, Tome 26 (2014) no. 4, pp. 51-58. http://geodesic.mathdoc.fr/item/DM_2014_26_4_a5/

[1] Pohl P., “Description of MCV, a pseudo-random number generator”, Scand. Actuarial J., 1 (1976), 1–14 | DOI | MR | Zbl

[2] Mezhennaya N.M., Mikhailov V.G., “O raspredelenii chisla edinits v vykhodnoi posledovatelnosti generatora Pola nad polem GF(2)”, Matem. vopr. kriptogr., 4:4 (2013), 95–107

[3] Mezhennaya N.M., “Convergence rate estimators for the number of ones in outcome sequence of MCV generator with $m$-dependent registers items”, Sib. elektron. matem. izv, 11 (2014), 18–25

[4] Sevastyanov B.A., “Uslovnoe raspredelenie vykhoda avtomatov bez pamyati pri zadannykh kharakteristikakh vkhoda”, Diskretnaya matematika, 6:1 (1994), 34–39 | MR | Zbl

[5] Feller V., Vvedenie v teoriyu veroyatnostei i ee prilozheniya, t. 2, Mir, Moskva, 1984, 738 pp. | MR