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Teor. Veroyatnost. i Primenen., 1983, Volume 28, Issue 2, Pages 264–287 (Mi tvp2295)  

This article is cited in 12 scientific papers (total in 13 papers)

Probability metrics

V. M. Zolotarev


Abstract: We review some notions and results of the theory of probability metrics. During the last few years this new branch of the probability theory was developing intensively both in our country and abroad. The review is not complete because of the limitation of the size of the paper. To some extent this defect is compensated by the list of references.

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English version:
Theory of Probability and its Applications, 1984, 28:1, 278–302

Bibliographic databases:

Received: 25.01.1983

Citation: V. M. Zolotarev, “Probability metrics”, Teor. Veroyatnost. i Primenen., 28:2 (1983), 264–287; Theory Probab. Appl., 28:1 (1984), 278–302

Citation in format AMSBIB
\by V.~M.~Zolotarev
\paper Probability metrics
\jour Teor. Veroyatnost. i Primenen.
\yr 1983
\vol 28
\issue 2
\pages 264--287
\jour Theory Probab. Appl.
\yr 1984
\vol 28
\issue 1
\pages 278--302

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Hung T.L. Kien Ph.T., “On the Order of Approximation in Limit Theorems For Negative-Binomial Sums of Strictly Stationary M-Dependent Random Variables”, Acta Math. Vietnam  crossref  isi
    2. Belili N., Heinich H., “Wasserstein and Zolotarev distances”, Comptes Rendus de l Academie Des Sciences Serie i–Mathematique, 330:9 (2000), 811–814  crossref  mathscinet  zmath  isi
    3. Christofides T.C., Vaggelatou E., “Bounds for the Distance Between the Distributions of Sums of Absolutely Continuous i.i.d. Convex-ordered Random Variables with Applications”, Journal of Applied Probability, 46:1 (2009), 255–271  crossref  mathscinet  zmath  isi
    4. Boutsikas M.V., “Asymptotically optimal Berry-Esseen-type bounds for distributions with an absolutely continuous part”, J Statist Plann Inference, 141:3 (2011), 1250–1268  crossref  mathscinet  zmath  isi
    5. Manita O.A. Romanov M.S. Shaposhnikov S.V., “on Uniqueness of Solutions To Nonlinear Fokker-Planek-Kolmogorov Equations”, Nonlinear Anal.-Theory Methods Appl., 128 (2015), 199–226  crossref  isi
    6. Yu N.Yu., “Indistinguishability and Energy Sensitivity of Gaussian and Bernoulli Compressed Encryption”, IEEE Trans. Inf. Forensic Secur., 13:7 (2018), 1722–1735  crossref  isi
    7. Liu Y., Pichler A., Xu H., “Discrete Approximation and Quantification in Distributionally Robust Optimization”, Math. Oper. Res., 44:1 (2019), 19–37  crossref  mathscinet  isi  scopus
    8. Tran Loc Hung Phan Tri Kien Nguyen Tan Nhut, “On Asymptotic Behaviors and Convergence Rates Related to Weak Limiting Distributions of Geometric Random Sums”, Kybernetika, 55:6 (2019), 961–975  crossref  isi
    9. Tran Loc Hung Phan Tri Kien, “On the Rates of Convergence to Symmetric Stable Laws For Distributions of Normalized Geometric Random Sums”, Filomat, 33:10 (2019), 3073–3084  crossref  isi
    10. “In memory of V. M. Zolotarev (02.27.1931–11.07.2019)”, Theory Probab. Appl., 65:1 (2020), 175–178  mathnet  crossref  crossref  isi
    11. Zeifman A. Korolev V. Satin Ya., “Two Approaches to the Construction of Perturbation Bounds For Continuous-Time Markov Chains”, Mathematics, 8:2 (2020), 253  crossref  isi
    12. Shevtsova I. Tselishchev M., “A Generalized Equilibrium Transform With Application to Error Bounds in the Renyi Theorem With No Support Constraints”, Mathematics, 8:4 (2020), 577  crossref  isi
    13. Tran Loc Hung, Phan Tri Kien, “On the Rates of Convergence in Weak Limit Theorems For Normalized Geometric Sums”, Bull. Korean. Math. Soc., 57:5 (2020), 1115–1126  crossref  isi
  • Теория вероятностей и ее применения Theory of Probability and its Applications
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