Modern Stochastics and Applications

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 an...

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Bibliographic Details
Other Authors: Korolyuk, Volodymyr (Editor), Limnios, Nikolaos (Editor), Mishura, Yuliya (Editor), Sakhno, Lyudmyla (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2014, 2014
Edition:1st ed. 2014
Series:Springer Optimization and Its Applications
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Exponential convergence of multi-dimensional stochastic mechanical systems with switching (Anulova, Veretennikov)
  • Asymptotic behaviour of the distribution density of the fractional Lévy motion (Kulik, Knopova).-Large deviations for random evolutions in the scheme of asymptotically small diffusion (Koroliuk, Samoilenko)
  • Limit theorems for excursion sets of stationary random fields (Spodarev). Part IV: Finance and Risk
  • Ambit processes, their volatility determination and their applications (Corcuera, Farkas, Valdivia)
  • Some functional analytic tools for utility maximization (Gushchin, Khasanov, Morozov)
  • Maximization of the survival probability by franchise and deductible amounts in the classical risk model (Ragulina).Part V: Statistics.-Asymptotic properties of drift parameter estimator based on discrete observations of stochastic differential equation driven by fractional Brownian motion ( Mishura, Ralchenko, Seleznev, Shevchenko)
  • Minimum contrast method for parameter estimation in the spectral domain (Sakhno)
  • Conditional estimators in exponential regression with errors incovariates (Shklyar)
  • Part I: Probability Distributions in Applications.-Comparing Brownian stochastic integrals for the convex order (Yor, Hirsch)
  • Application of φ-sub-Gaussian random processes in queueing theory (Kozachenko, Yamnenko)
  • A review on time-changed pseudo processes and the related distributions (Orsingher)
  • Reciprocal processes: a stochastic analysis approach (Roelly). Part II: Stochastic Equations
  • Probabilistic counterparts of nonlinear parabolic PDE systems (Belopolskaya)
  • Finite-time blowup and existence of global positive solutions of semilinear SPDE’s with fractional noise (Dozzi, Kolkovska, López-Mimbela)
  • Hydrodynamics and SDE with Sobolev coefficients (Fang)
  • Elementary pathwise methods for non-linear parabolic and transport type SPDE with fractal noise (Hinz, Issoglio, Zähle)
  • SPDE’s driven by general stochastic measures (Radchenko). Part III: Limit Theorems