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Asymptotic Methods in Probability and Statistics with Applications

  • Book
  • © 2001

Overview

Editors:
  1. N. Balakrishnan

    1. Department of Mathematics and Statistics, McMaster University, Hamilton, Canada

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  2. I. A. Ibragimov

    1. Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia

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  3. V. B. Nevzorov

    1. Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia

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Part of the book series: Statistics for Industry and Technology (SIT)

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Table of contents (38 chapters)

  1. Front Matter

    Pages i-xxiii
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  2. Probability Distributions

    1. Front Matter

      Pages 1-1
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    2. Positive Linnik and Discrete Linnik Distributions

      • Gerd Christoph, Karina Schreiber
      Pages 3-17

    3. On Finite-Dimensional Archimedean Copulas

      • S. V. Malov
      Pages 19-35

  3. Characterizations of Distributions

    1. Front Matter

      Pages 37-37
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    2. Characterization and Stability Problems for Finite Quadratic Forms

      • G. Christoph, Yu. Prohorov, V. Ulyanov
      Pages 39-50

    3. A Characterization of Gaussian Distributions by Signs of Even Cumulants

      • L. B. Klebanov, G. J. Szekely
      Pages 51-54

    4. On a Class of Pseudo-Isotropic Distributions

      • A. A. Zinger
      Pages 55-62

  4. Probabilities and Measures in High-Dimensional Structures

    1. Front Matter

      Pages 63-63
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    2. Time Reversal of Diffusion Processes in Hilbert Spaces and Manifolds

      • Ya. Belopolskaya
      Pages 65-79

    3. Localization of Majorizing Measures

      • Bettina Bühler, Wenbo V. Li, Werner Linde
      Pages 81-100

    4. Multidimensional Hungarian Construction for Vectors With Almost Gaussian Smooth Distributions

      • F. Götze, A. Yu. Zaitsev
      Pages 101-132

    5. On the Existence of Weak Solutions for Stochastic Differential Equations With Driving L2-Valued Measures

      • V. A. Lebedev
      Pages 133-142

    6. Tightness of Stochastic Families Arising From Randomization Procedures

      • Mikhail Lifshits, Michel Weber
      Pages 143-159

    7. Long-Time Behavior of Multi-Particle Markovian Models

      • A. D. Manita
      Pages 161-176

    8. Applications of Infinite-Dimensional Gaussian Integrals

      • A. M. Nikulin
      Pages 177-187

    9. On Maximum of Gaussian Non-Centered Fields Indexed on Smooth Manifolds

      • Vladimir Piterbarg, Sinisha Stamatovich
      Pages 189-203

    10. Typical Distributions: Infinite-Dimensional Approaches

      • A. V. Sudakov, V. N. Sudakov, H. v. Weizsäcker
      Pages 205-212

  5. Weak and Strong Limit Theorems

    1. Front Matter

      Pages 213-213
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    2. A Local Limit Theorem for Stationary Processes in the Domain of Attraction of a Normal Distribution

      • Jon Aaronson, Manfred Denker
      Pages 215-223
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Keywords

About this book

Traditions of the 150-year-old St. Petersburg School of Probability and Statis­ tics had been developed by many prominent scientists including P. L. Cheby­ chev, A. M. Lyapunov, A. A. Markov, S. N. Bernstein, and Yu. V. Linnik. In 1948, the Chair of Probability and Statistics was established at the Department of Mathematics and Mechanics of the St. Petersburg State University with Yu. V. Linik being its founder and also the first Chair. Nowadays, alumni of this Chair are spread around Russia, Lithuania, France, Germany, Sweden, China, the United States, and Canada. The fiftieth anniversary of this Chair was celebrated by an International Conference, which was held in St. Petersburg from June 24-28, 1998. More than 125 probabilists and statisticians from 18 countries (Azerbaijan, Canada, Finland, France, Germany, Hungary, Israel, Italy, Lithuania, The Netherlands, Norway, Poland, Russia, Taiwan, Turkey, Ukraine, Uzbekistan, and the United States) participated in this International Conference in order to discuss the current state and perspectives of Probability and Mathematical Statistics. The conference was organized jointly by St. Petersburg State University, St. Petersburg branch of Mathematical Institute, and the Euler Institute, and was partially sponsored by the Russian Foundation of Basic Researches. The main theme of the Conference was chosen in the tradition of the St.

Editors and Affiliations

  • Department of Mathematics and Statistics, McMaster University, Hamilton, Canada

    N. Balakrishnan

  • Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia

    I. A. Ibragimov, V. B. Nevzorov

Bibliographic Information

  • Book Title: Asymptotic Methods in Probability and Statistics with Applications

  • Editors: N. Balakrishnan, I. A. Ibragimov, V. B. Nevzorov

  • Series Title: Statistics for Industry and Technology

  • DOI: https://doi.org/10.1007/978-1-4612-0209-7

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2001

  • Hardcover ISBN: 978-0-8176-4214-3Published: 21 June 2001

  • Softcover ISBN: 978-1-4612-6663-1Published: 14 October 2012

  • eBook ISBN: 978-1-4612-0209-7Published: 06 December 2012

  • Series ISSN: 2364-6241

  • Series E-ISSN: 2364-625X

  • Edition Number: 1

  • Number of Pages: XXIII, 549

  • Topics: Operations Research, Management Science, Statistical Theory and Methods

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