Geodesic
On the asymptotic normality of frequencies of values in the non-equiprobable multi-cyclic random sequence modulo 4
Matematičeskie voprosy kriptografii, Tome 7 (2016) no. 4, pp. 81-94 
N. M. Mezhennaya; V. G. Mikhailov. On the asymptotic normality of frequencies of values in the non-equiprobable multi-cyclic random sequence modulo 4. Matematičeskie voprosy kriptografii, Tome 7 (2016) no. 4, pp. 81-94. http://geodesic.mathdoc.fr/item/MVK_2016_7_4_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

For the frequencies of values on the cycle of the non-equiprobable multi-cyclic random sequence modulo 4 we obtain the conditions of asymptotic normality.

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

[2] Mezhennaya N. M., Mikhailov V. G., “O raspredelenii chisla edinits v vykhodnoi posledovatelnosti generatora Pola nad polem $GF(2)$”, Matematicheskie voprosy kriptografii, 4:4 (2014), 51–58 | Zbl

[3] Mezhennaya N. M., “O raspredelenii chisla edinits v dvoichnoi multitsiklicheskoi posledovatelnosti”, Prikladnaya diskretnaya matematika, 2015, no. 1, 69–77

[4] Mezhennaya N. M., “Convergence rate estimators for the number of ones in outcome sequence of MCV generator with m-dependent registers items”, Siberian Electronic Mathematical Reports, 11 (2014), 18–25 | MR | Zbl

[5] Mezhennaya N. M., Mikhailov V. G., “O chisle poyavlenii znakov v multitsiklicheskoi sluchainoi posledovatelnosti po modulyu 4”, Diskretnaya matematika, 26:4 (2014), 51–58 | DOI

[6] Kramer G., Matematicheskie metody statistiki, Mir, M., 1975 | MR