Geodesic
On transition of distributions of sums of independent identically distributed random variables from one lattice to another in the generalised allocation scheme
Diskretnaya Matematika, Tome 18 (2006) no. 4, pp. 113-127.

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We consider the effect of transition of distributions of sums of independent identically distributed non-negative integer-valued random variables from one lattice to another in the framework of the generalised allocation scheme. 
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A. V. Kolchin; V. F. Kolchin. On transition of distributions of sums of independent identically distributed random variables from one lattice to another in the generalised allocation scheme. Diskretnaya Matematika, Tome 18 (2006) no. 4, pp. 113-127. http://geodesic.mathdoc.fr/item/DM_2006_18_4_a10/

[1] Gnedenko B. V., Kolmogorov A. N., Predelnye raspredeleniya dlya summ nezavisimykh sluchainykh velichin, GITTL, Moskva–Leningrad, 1949

[2] Kazimirov N. I., Pavlov Yu. L., “Odno zamechanie o lesakh Galtona–Vatsona”, Diskretnaya matematika, 12:1 (2000), 47–59

[3] Kazimirov N. I., “O nekotorykh usloviyakh otsutstviya gigantskoi komponenty v obobschennoi skheme razmescheniya”, Diskretnaya matematika 2002, 14:2, 107–118 | MR

[4] Kolchin A. V., “On the number of hyperforests”, J. Math. Sci., 76 (1995), 2250–2258 | DOI | MR | Zbl

[5] Kolchin A. V., “On the asymptotic behaviour of the number of hyperforests”, Probabilistic Methods in Discrete Mathematics, VSP, Utrecht, 1996, 285–294 | MR

[6] Kolchin A. V., “Predelnye teoremy dlya obobschennoi skhemy razmescheniya”, Diskretnaya matematika, 15:4 (2003), 148–157 | Zbl

[7] Kolchin V. F., “Odin klass predelnykh teorem dlya uslovnykh raspredelenii”, Litovskii matem. sbornik, 8:1 (1968), 111–126

[8] Kolchin V. F., Sevastyanov B. A., Chistyakov V. P., Sluchainye razmescheniya, Nauka, Moskva, 1976

[9] Kolchin V. F., Sluchainye otobrazheniya, Nauka, Moskva, 1984

[10] Kolchin V. F., Sluchainye grafy, Fizmatlit, Moskva, 2000

[11] Kolchin V. F., Asimptoticheskie metody teorii veroyatnostei, MIEM, Moskva, 1984

[12] Mukhin A. B., “Lokalnye predelnye teoremy dlya reshetchatykh sluchainykh velichin”, Teoriya veroyatnostei i ee primeneniya, 36:4 (1991), 660–674 | MR

[13] Myllari T. B., “Limit distributions of the number of leaves of a Galton–Watson forest”, Probabilistic Methods in Discrete Mathematics, VSP, Utrecht, 2002, 257–271

[14] Pavlov Yu. L., Random forests, VSP, Utrecht, 2000 | MR | Zbl

[15] Pavlov Yu. L., “Predelnye teoremy dlya ob'emov derevev nepomechennogo grafa sluchainogo otobrazheniya”, Diskretnaya matematika, 16:3 (2004), 63–75 | Zbl

[16] Pavlov Yu. L., “Predelnye teoremy dlya ob'emov derevev v sluchainom nepomechennom lese”, Diskretnaya matematika, 17:2 (2005), 70–86 | Zbl

[17] Timashev A. N., “Ob asimptoticheskikh razlozheniyakh v lokalnykh predelnykh teoremakh v ravnoveroyatnykh skhemakh razmescheniya chastits po razlichnym yacheikam”, Diskretnaya matematika, 12:1 (2000), 60–69 | Zbl

[18] Timashev A. N., “O raspredelenii chisla tsiklov zadannoi dliny v klasse podstanovok s izvestnym chislom tsiklov”, Diskretnaya matematika, 13:4 (2001), 60–72 | Zbl

[19] Timashev A. N., “Sluchainye svobodnye derevya i lesa s ogranicheniyami na kratnosti vershin”, Diskretnaya matematika, 16:4 (2004), 117–133 | Zbl

[20] Timashev A. N., “Bolshie ukloneniya dlya chisla derevev zadannogo ob'ema i maksimalnogo ob'ema dereva v sluchainom lese”, Diskretnaya matematika, 18:3 (2006), 77–84 | MR | Zbl