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Diskretnaya Matematika, 2006, Volume 18, Issue 4, Pages 113–127
DOI: https://doi.org/10.4213/dm76
(Mi dm76)
 

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

A. V. Kolchin, V. F. Kolchin
References:
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.
Received: 08.10.2006
English version:
Discrete Mathematics and Applications, 2006, Volume 16, Issue 6, Pages 527–540
DOI: https://doi.org/10.1515/156939206779218023
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
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
Citation in format AMSBIB
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\by A.~V.~Kolchin, V.~F.~Kolchin
\paper On transition of distributions of sums of independent identically distributed random variables from one lattice to another in the generalised allocation scheme
\jour Diskr. Mat.
\yr 2006
\vol 18
\issue 4
\pages 113--127
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\crossref{https://doi.org/10.4213/dm76}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2310097}
\zmath{https://zbmath.org/?q=an:1129.60010}
\elib{https://elibrary.ru/item.asp?id=9450353}
\transl
\jour Discrete Math. Appl.
\yr 2006
\vol 16
\issue 6
\pages 527--540
\crossref{https://doi.org/10.1515/156939206779218023}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846855590}
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:
    1. 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  crossref
    2. 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  crossref  mathscinet  isi
    3. 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  crossref  mathscinet  zmath  isi
    4. 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  crossref
    5. 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  crossref
    6. 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  crossref  mathscinet  isi
    7. 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  crossref
    8. Fazekas I. Chuprunov A., “The Conditional Maximum of Poisson Random Variables”, Commun. Stat.-Theory Methods, 47:16 (2018), 3857–3870  crossref  mathscinet  isi  scopus
    9. 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  mathnet  crossref  crossref  mathscinet  isi  elib
    10. 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  mathnet  crossref  mathscinet  isi  elib
    11. Fazekas I. Porvazsnyik B., “Some Limit Theorems For Generalized Allocation Schemes”, Miskolc Math. Notes, 16:2 (2015), 817–832  crossref  mathscinet  isi  scopus
    12. Sergey ((((((() Grishin ((((((()“. . 140 . 1 2 (History of the Volga Railway is the First Part of the Second)”, SSRN Journal, 2015  crossref
    13. 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  mathnet  crossref  crossref  mathscinet  isi  elib
    14. 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  mathnet  crossref  crossref  mathscinet  elib  elib
    15. 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  mathnet  crossref  crossref  mathscinet  elib  elib
    16. 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  mathnet  crossref  mathscinet
    17. 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  mathnet  crossref  crossref  mathscinet  elib
    18. A. N. Chuprunov, I. Fazekash, “Zakony povtornogo logarifma dlya chisla bezoshibochnykh blokov pri pomekhoustoichivom kodirovanii”, Inform. i ee primen., 4:3 (2010), 42–46  mathnet
    19. 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  mathnet
    20. Yu. L. Pavlov, I. A. Cheplyukova, “Random graphs of Internet type and the generalised allocation scheme”, Discrete Math. Appl., 18:5 (2008), 447–463  mathnet  crossref  crossref  mathscinet  zmath  elib
    Citing articles in Google Scholar: Russian citations, English citations
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