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  • © 2014

Modern Stochastics and Applications

  • Contains the latest trends, topics and challenging problems for a broad range of contemporary probability topics
  • Presents a variety of tools and techniques for the experienced researcher in both the pure and applied areas as well as newcomers to the field
  • Depicts all major modern trends in applications of probability and stochastic analysis
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Optimization and Its Applications (SOIA, volume 90)

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xvii
  2. Probability Distributions in Applications

    1. Front Matter

      Pages 1-1
    2. Application of \(\varphi\)-Sub-Gaussian Random Processes in Queueing Theory

      • Yuriy V. Kozachenko, Rostyslav E. Yamnenko
      Pages 21-38
  3. Limit Theorems

    1. Front Matter

      Pages 157-157
    2. Exponential Convergence of Degenerate Hybrid Stochastic Systems with Full Dependence

      • Svetlana V. Anulova, Alexander Yu. Veretennikov
      Pages 159-174
    3. Asymptotic Behaviour of the Distribution Density of the Fractional Lévy Motion

      • Victoria P. Knopova, Alexey M. Kulik
      Pages 175-201
    4. Large Deviations for Random Evolutions in the Scheme of Asymptotically Small Diffusion

      • Volodymyr S. Korolyuk, Igor V. Samoilenko
      Pages 203-219
  4. Finance and Risk

    1. Front Matter

      Pages 243-243
    2. Ambit Processes, Their Volatility Determination and Their Applications

      • José Manuel Corcuera, Gergely Farkas, Arturo Valdivia
      Pages 245-265
    3. Some Functional Analytic Tools for Utility Maximization

      • Alexander A. Gushchin, Ruslan V. Khasanov, Ivan S. Morozov
      Pages 267-285

About this book

This volume presents an extensive overview of all major modern trends in applications of probability and stochastic analysis. It will be a great source of inspiration for designing new algorithms, modeling procedures and experiments. Accessible to researchers, practitioners, as well as graduate and postgraduate students, this volume presents a variety of new tools, ideas and methodologies in the fields of optimization, physics, finance, probability, hydrodynamics, reliability, decision making, mathematical finance, mathematical physics and economics.

Contributions to this Work include those of selected speakers from the international conference entitled “Modern Stochastics: Theory and Applications III,” held on September 10 –14, 2012 at Taras Shevchenko National University of Kyiv, Ukraine. The conference covered the following areas of research in probability theory and its applications: stochastic analysis, stochastic processes and fields, random matrices, optimization methods in probability, stochastic models of evolution systems, financial mathematics, risk processes and actuarial mathematics and information security.

Editors and Affiliations

  • Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    Volodymyr Korolyuk

  • Laboratoire de Mathématiques Appliquées, Université de Technologie de Compiègne, Compiegne Cedex, France

    Nikolaos Limnios

  • Dept. of Probability, Statistics and Actuarial Mathematics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    Yuliya Mishura

  • Dept.of Probability, Statistics and Actuarial Mathematics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    Lyudmyla Sakhno, Georgiy Shevchenko

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access