Book

Modern Stochastics And Applications

Year:

2014

Published in:

Springer Cham
Calculus of Variations and Optimal Control; Optimization
Probability Theory and Stochastic Processes
Linear and Multilinear Algebras
Matrix Theory
Information Systems and Communication Service
Actuarial Sciences
Quantitative Finance

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.

Other publications by

74 publications found

2025
Journal article

Stochastic Selection Problem For A Stratonovich Sde With Power Non‑Linearity

Publisher: Bernoulli

Authors: Georgiy Shevchenko, Ilya Pavlyukevich

2011
Journal article

Existence And Uniqueness Of The Solution Of Stochastic Differential Equation Involving Wiener Process And Fractional Brownian Motion With Hurst Index H > 1/2

Publisher: Communications in Statistics - Theory and Methods

Authors: Georgiy Shevchenko, Yulia Mishura

2015
Journal article

Asymptotic Behavior Of Mixed Power Variations And Statistical Estimation In Mixed Models

Publisher: Statistical Inference for Stochastic Processes

Authors: Georgiy Shevchenko, Yulia Mishura, Marco Dozzi

2011
Journal article

Real Harmonizable Multifractional Stable Process And Its Local Properties

Publisher: Stochastic Processes and their Applications

Authors: Georgiy Shevchenko, Marco Dozzi, Yulia Mishura, Kostiantyn Ral’chenko

2015
Journal article

Convergence Of Solutions Of Mixed Stochastic Delay Differential Equations With Applications

Publisher: Applied Mathematics and Computation

Authors: Georgiy Shevchenko, Yulia Mishura, Taras Shalaiko

2008
Journal article

The Rate Of Convergence For Euler Approximations Of Solutions Of Stochastic Differential Equations Driven By Fractional Brownian Motion

Publisher: Stochastics

Authors: Georgiy Shevchenko, Yulia Mishura

2014
Working paper

Fractional Brownian Motion In A Nutshell

Publisher: arxiv

Authors: Georgiy Shevchenko

2018
Working paper

Existence And Uniqueness Of Mild Solution To Stochastic Heat Equation With White And Fractional Noises

Publisher: arxiv

Authors: Georgiy Shevchenko, Kostiantyn Prontenko, Yulia Mishura

2013
Journal article

Malliavin Regularity Of Solutions To Mixed Stochastic Differential Equations

Publisher: Statistics & Probability Letters

Authors: Georgiy Shevchenko, Taras Shalaiko

2014
Book Chapter

On The Distribution Of Integral Functionals Of A Homogeneous Diffusion Process

Publisher: Bocconi & Springer Series

Authors: Georgiy Shevchenko, M. Perestyuk, Yulia Mishura