Asymptotic normality of numbers of non-occurring values of $m$-dependent random variables
Diskretnaya Matematika, Tome 26 (2014) no. 2, pp. 143-158.

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     title = {Asymptotic normality of numbers of non-occurring values of $m$-dependent random variables},
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M. I. Tikhomirova; V. P. Chistyakov. Asymptotic normality of numbers of non-occurring values of $m$-dependent random variables. Diskretnaya Matematika, Tome 26 (2014) no. 2, pp. 143-158. http://geodesic.mathdoc.fr/item/DM_2014_26_2_a9/

[1] Kolchin V. F., Sevastyanov B. A., Chistyakov V. P., Sluchainye razmescheniya, Nauka, M., 1976 | MR | Zbl

[2] Tikhomirova M. I., Chistyakov V. P., “Ob asimptotike momentov chisla nepoyavivshikhsya $s$-tsepochek”, Diskretnaya matematika, 9:1 (1997), 12–29 | DOI | MR | Zbl

[3] Tikhomirova M. I., “Asimptoticheskaya normalnost chisla nepoyavivshikhsya nesploshnykh tsepochek iskhodov nezavisimykh ispytanii”, Diskretnaya matematika, 21:2 (2009), 112–125 | DOI | MR | Zbl

[4] Zubkov A. M., “Tsepi Markova, blizkie k posledovatelnosti nezavisimykh ispytanii”, Matematicheskie zametki, 25:3 (1979), 465–474 | MR | Zbl

[5] Tikhomirova M. I., Chistyakov V. P., “Asimptoticheskaya normalnost chisla nepoyavivshikhsya znachenii $m$-zavisimykh sluchainykh velichin”, Matematicheskie voprosy kriptografii, 2:1 (2011), 119–129

[6] Mikhailov V. G., “Asimptoticheskaya normalnost v skheme konechno-zavisimogo razmescheniya chastits po yacheikam”, Matematicheskii sbornik, 119(161):4(12) (1982), 509–520 | MR | Zbl

[7] Shoitov A. M., “Normalnoe priblizhenie v zadachakh ob ekvivalentnykh tsepochkakh”, Trudy po diskretnoi matematike, 10, FIZMATLIT, M., 2007, 326–349

[8] Billingsli P., Skhodimost veroyatnostnykh mer, Nauka, M., 1977 | MR

[9] Mikhailov V. G., “Ob odnoi teoreme Yansona”, Teoriya veroyatn. i ee primen., 36:1 (1991), 168–170 | MR | Zbl

[10] Janson S., “Normal convergence by higher semi invariants with applications to sums dependent random variables and random graphs”, Ann. Probab., 16:1 (1988), 305–312 | DOI | MR | Zbl