This article is cited in 21 scientific papers (total in 21 papers)
On transition of distributions of sums of independent identically distributed random variables from one lattice to another in the generalised allocation scheme
Abstract:
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.
Citation:
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”, Diskr. Mat., 18:4 (2006), 113–127; Discrete Math. Appl., 16:6 (2006), 527–540
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\pages 113--127
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\jour Discrete Math. Appl.
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Linking options:
https://www.mathnet.ru/eng/dm76
https://doi.org/10.4213/dm76
https://www.mathnet.ru/eng/dm/v18/i4/p113
This publication is cited in the following 21 articles:
A. V. Kolchin, B. F. Bezrodnyy, M. A. Leeva, “On Some Aspects of Evolution of Generalized Allocation Schemes”, J Math Sci, 267:2 (2022), 246
Abdushukurov F.A. Chuprunov A.N., “On the Number of Empty Cells in a Non-Homogeneous Allocation Scheme”, Lobachevskii J. Math., 42:2, SI (2021), 269–279
Abdushukurov F.A., Chuprunov A.N., “Poisson Limit Theorems in An Allocation Scheme With An Even Number of Particles in Each Cell”, Lobachevskii J. Math., 41:3 (2020), 289–297
D.E. Chickrin, A.N. Chuprunov, P.A. Kokunin, “On the Maximum Value of a Cell in a Specified Set of Cells for the Nonhomogeneous Generalized Allocation Scheme”, J Math Sci, 248:1 (2020), 14
D. E. Chickrin, A. N. Chuprunov, P. A. Kokunin, “Gaussian Limit Theorems for the Number of Given Value Cells in the Non-Homogeneous Generalized Allocation Scheme”, J Math Sci, 246:4 (2020), 476
Chickrin D.E., Chuprunov A.N., Kokunin P.A., “Poisson Limit Theorems For Number of Given Value Cells in Non-Homogeneous Generalized Allocation Scheme”, Lobachevskii J. Math., 40:5, 1, SI (2019), 614–623
A. V. Kolchin, B. F. Bezrodnyy, M. A. Leeva, “Applying a Generalized Allocation Scheme to Analyzing a Class of Sequences Generated by a Shift Register”, MoscowUniv.Comput.Math.Cybern., 43:1 (2019), 12
Fazekas I. Chuprunov A., “The Conditional Maximum of Poisson Random Variables”, Commun. Stat.-Theory Methods, 47:16 (2018), 3857–3870
A. I. Afonina, I. R. Kayumov, A. N. Chuprunov, “Asymptotics of conditional probabilities of succesful allocation of random number of particles into cells”, Discrete Math. Appl., 27:5 (2017), 277–286
A. I. Afonina, I. R. Kayumov, A. N. Chuprunov, “On the probability of the event: in n generalized allocation schemes the volume of each cell does not exceed r”, Ufa Math. J., 8:2 (2016), 14–21
Fazekas I. Porvazsnyik B., “Some Limit Theorems For Generalized Allocation Schemes”, Miskolc Math. Notes, 16:2 (2015), 817–832
Sergey ((((((() Grishin ((((((()“. . 140 . 1 2 (History of the Volga Railway is the First Part of the Second)”, SSRN Journal, 2015
A. N. Timashev, “On the probability of coincidence of cycle lengths for independent random permutations with given number of cycles”, Discrete Math. Appl., 25:6 (2015), 385–392
A. N. Chuprunov, I. Fazekas, “An analogue of the generalised allocation scheme: limit theorems for the number of cells containing a given number of particles”, Discrete Math. Appl., 22:1 (2012), 101–122
A. N. Chuprunov, I. Fazekas, “An analogue of the generalised allocation scheme: limit theorems for the maximum cell load”, Discrete Math. Appl., 22:3 (2012), 307–314
A. N. Chuprunov, B. I. Khamdeyev, “The probability of correcting errors by an antinoise coding method when the number of errors belongs to a random set”, Russian Math. (Iz. VUZ), 54:8 (2010), 67–73
A. N. Chuprunov, B. I. Khamdeev, “On probability of correction of a random number of errors in an error-correcting coding”, Discrete Math. Appl., 20:2 (2010), 179–190
A. N. Chuprunov, I. Fazekash, “Zakony povtornogo logarifma dlya chisla bezoshibochnykh blokov pri pomekhoustoichivom kodirovanii”, Inform. i ee primen., 4:3 (2010), 42–46
A. N. Chuprunov, B. I. Khamdeev, “O veroyatnosti ispravleniya oshibok pri pomekhoustoichivom kodirovanii, kogda chislo oshibok prinadlezhit nekotoromu konechnomu mnozhestvu”, Inform. i ee primen., 3:3 (2009), 52–59
Yu. L. Pavlov, I. A. Cheplyukova, “Random graphs of Internet type and the generalised allocation scheme”, Discrete Math. Appl., 18:5 (2008), 447–463