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Teoriya Veroyatnostei i ee Primeneniya, 1991, Volume 36, Issue 4, Pages 660–674 (Mi tvp1774)  

This article is cited in 26 scientific papers (total in 26 papers)

Local limit theorems for lattice random variables

A. B. Mukhin
Received: 12.10.1988
English version:
Theory of Probability and its Applications, 1991, Volume 36, Issue 4, Pages 698–713
DOI: https://doi.org/10.1137/1136086
Bibliographic databases:
Language: Russian
Citation: A. B. Mukhin, “Local limit theorems for lattice random variables”, Teor. Veroyatnost. i Primenen., 36:4 (1991), 660–674; Theory Probab. Appl., 36:4 (1991), 698–713
Citation in format AMSBIB
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\by A.~B.~Mukhin
\paper Local limit theorems for lattice random variables
\jour Teor. Veroyatnost. i Primenen.
\yr 1991
\vol 36
\issue 4
\pages 660--674
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\transl
\jour Theory Probab. Appl.
\yr 1991
\vol 36
\issue 4
\pages 698--713
\crossref{https://doi.org/10.1137/1136086}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991KG46300004}
Linking options:
  • https://www.mathnet.ru/eng/tvp1774
  • https://www.mathnet.ru/eng/tvp/v36/i4/p660
  • This publication is cited in the following 26 articles:
    1. Michel J.G. Weber, “A uniform semi-local limit theorem along sets of multiples for sums of i.i.d. random variables”, Funct. Approx. Comment. Math., -1:-1 (2024)  crossref
    2. Michel J. G. Weber, “On Mukhin's necessary and sufficient condition for the validity of the local limit theorem”, Forum Mathematicum, 36:1 (2024), 1  crossref
    3. Serte Donderwinkel, Zheneng Xie, “Universality for the directed configuration model: Metric space convergence of the strongly connected components at criticality”, Electron. J. Probab., 29:none (2024)  crossref
    4. Matthew Coulson, Guillem Perarnau, “Largest component of subcritical random graphs with given degree sequence”, Electron. J. Probab., 28:none (2023)  crossref
    5. Yu. L. Pavlov, I. A. Cheplyukova, “Sizes of Trees in a Random Forest and Configuration Graphs”, Proc. Steklov Inst. Math., 316 (2022), 280–297  mathnet  crossref  crossref  mathscinet
    6. Antonio Blanca, Alistair Sinclair, Xusheng Zhang, “The critical mean-field Chayes–Machta dynamics”, Combinator. Probab. Comp., 31:6 (2022), 924  crossref
    7. 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
    8. Dmitry Dolgopyat, Yeor Hafouta, “Edgeworth expansions for independent bounded integer valued random variables”, Stochastic Processes and their Applications, 152 (2022), 486  crossref
    9. Yu. L. Pavlov, “The maximum tree of a random forest in the configuration graph”, Sb. Math., 212:9 (2021), 1329–1346  mathnet  crossref  crossref  zmath  adsnasa  isi  elib
    10. Florence Merlevède, Magda Peligrad, Costel Peligrad, “On the local limit theorems for psi-mixing Markov chains”, ALEA, 18:1 (2021), 1221  crossref
    11. L. V. Rozovskii, “On integro-local CLT for sums of independent random vectors”, Theory Probab. Appl., 64:4 (2020), 564–578  mathnet  crossref  crossref  isi  elib
    12. Michel Le Breton, Dominique Lepelley, “Une analyse de la loi électorale du 29 juin 1820”, Revue économique, Vol. 65:3 (2014), 469  crossref
    13. Yu. L. Pavlov, “On the limit distributions of the vertex degrees of conditional Internet graphs”, Discrete Math. Appl., 19:4 (2009), 349–359  mathnet  crossref  crossref  mathscinet  elib
    14. Tatiana Mylläri, “Joint distribution of the number of vertices with given different outdegrees in Galton–Watson forest”, Mathematics and Computers in Simulation, 79:8 (2009), 2293  crossref
    15. S.C. Goh, K. Knight, “NONSTANDARD QUANTILE-REGRESSION INFERENCE”, Econom. Theory, 25:5 (2009), 1415  crossref
    16. 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
    17. Keith Knight, “Asymptotics of the regression quantile basic solution under misspecification”, Appl Math, 53:3 (2008), 223  crossref
    18. 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”, Discrete Math. Appl., 16:6 (2006), 527–540  mathnet  crossref  crossref  mathscinet  zmath  elib
    19. T. Mylläri, Yu. Pavlov, “Limit distributions of the number of vertices of a given out-degree in a random forest”, J Math Sci, 138:1 (2006), 5424  crossref
    20. Chuan Goh, Keith Knight, “Nonstandard Quantile-Regression Inference”, SSRN Journal, 2005  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    Теория вероятностей и ее применения Theory of Probability and its Applications
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