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Stability Problems for Stochastic Models

Proceedings of the 11th International Seminar held in Sukhumi (Abkhazian Autonomous Republic), USSR, Sept. 25 - Oct. 1, 1987

  • Conference proceedings
  • © 1989

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Editors:
  1. Vladimir V. Kalashnikov
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  2. Vladimir M. Zolotarev
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1412)

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Table of contents (27 papers)

  1. Front Matter

    Pages I-X
    Download chapter PDF

  2. The density function's asymptotic representation in the case of multidimensional strictly stable distributions

    • S. V. Arkhipov
    Pages 1-21

  3. Limiting behaviour of the sum of I.I.D. random variables and its terms of greatest moduli in the case of logarithmic type tall function

    • I. Factorovich
    Pages 22-32

  4. On the adaptive estimation of change points

    • Ts. G. Hahubia
    Pages 33-49

  5. Precise upper bounds for the functionals describing tumour treatment efficiency

    • Hanin L. G., Goot R. E., Yakovlev A.Yu., Rachev S. T.
    Pages 50-67

  6. A multivariate analog of the Cramer theorem on components of the Gaussian distributions

    • A. M. Kagan
    Pages 68-77

  7. A refinement of Lukacs theorems

    • F. M. Kagan
    Pages 78-82

  8. On the connection of Renyi's theorem and Renewal theory

    • Kalashnikov V. V., Vsekhsvyatskii S.Yu.
    Pages 83-102

  9. On the products of a random number of random variables in connection with a problem from mathematical economics

    • L. B. Klebanov, J. A. Melamed, S. T. Rachev
    Pages 103-109

  10. The asymptotic distributions of random sums

    • V.Yu. Korolev
    Pages 110-123

  11. Normal and degenerate convergences of random sums

    • V. M. Kruglov
    Pages 124-136

  12. New duality theorems for Marginal problems with some applications in stochastics

    • V. L. Levin, S. T. Rachev
    Pages 137-171

  13. Stable random vectors in Hilbert space

    • A. D. Lisitsky
    Pages 172-182

  14. The mean's consistent estimation, in the case random processes, satisfying partial differential equations

    • L. Márkus
    Pages 183-193

  15. Limit theorems in the set up of sumnation of a random number of independent identically distributed random variables

    • J. A. Melamed
    Pages 194-228

  16. Some asymptotic properties of the stable laws

    • A. V. Nagaev, S. M. Shkolnik
    Pages 229-238

  17. A chi-square goodness-of-fit test for exponential distributions of the first order

    • M. S. Nikulin, V. G. Voinov
    Pages 239-258

  18. A conditional weak law of large numbers

    • E. Nummelin
    Pages 259-262

  19. On the rate of convergence for the extreme value in the case of IFR-distributions

    • A. Obretenov
    Pages 263-269

  20. On the rate of convergence in extreme value theory

    • E. Omey
    Pages 270-279
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Keywords

About this book

Traditionally the Stability seminar, organized in Moscow but held in different locations, has dealt with a spectrum of topics centering around characterization problems and their stability, limit theorems, probabil- ity metrics and theoretical robustness. This volume likewise focusses on these main topics in a series of original and recent research articles.

Bibliographic Information

  • Book Title: Stability Problems for Stochastic Models

  • Book Subtitle: Proceedings of the 11th International Seminar held in Sukhumi (Abkhazian Autonomous Republic), USSR, Sept. 25 - Oct. 1, 1987

  • Editors: Vladimir V. Kalashnikov, Vladimir M. Zolotarev

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0084160

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1989

  • Softcover ISBN: 978-3-540-51948-5Published: 06 December 1989

  • eBook ISBN: 978-3-540-46863-9Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 384

  • Topics: Probability Theory and Stochastic Processes

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