Abstract and Applied Analysis

Long-Memory Processes and Applications


Publishing date
02 May 2014
Status
Published
Submission deadline
13 Dec 2013

Lead Editor

1Department of Mathematics, University of Kansas, Lawrence, KS v66045, USA

2Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, P.O. Box 71010, Wuhan 430071, China

3School of Management, Zhejiang University, Yuhangtan Road No. 866, Hanzhou 310058, China

4Department of Mathematics, Donghua University, 2999 North People's Road, Shanghai 201620, China


Long-Memory Processes and Applications

Description

Long-memory processes can be used to describe natural and social phenomena which display long-memory characters. Some important long-memory processes include fractional Brownian motions, bifractional Brownian motions, and some other Gaussian processes. Since they are neither Markov processes nor semimartingales, the beautiful theory of stochastic analysis developed for semimartingale theory or for Markov processes cannot be applied. It is necessary to develop useful mathematical tools to analyze this class of processes. We invite authors to submit original research and review articles that seek to understand the intrinsic properties of long-memory processes and that aim to develop some mathematical tools for such processes. We are interested in articles that deal with applications of long-memory processes to mathematical finance and to biological science. Potential topics include, but are not limited to:

  • Intrinsic properties of long-memory processes
  • Stochastic analysis of fractional Brownian motions and bifractional Brownian motions
  • Local times and self-intersection local times of fractional Brownian motions and bifractional Brownian motions
  • Stochastic differential equations and stochastic partial differential equations driven by fractional Brownian motions and bifractional Brownian motions
  • Statistical analysis of linear and nonlinear systems driven by fractional Brownian motions and bifractional Brownian motions
  • Applications of long-memory processes to mathematical finance
  • Applications of long-memory processes to biological science
  • Other relevant topics such as subdiffusion, self-similar processes, and Levy processes

Before submission, authors should carefully read over the journal’s Authors Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/aaa/lmp/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 820831
  • - Research Article

The Stationary Distribution of Competitive Lotka-Volterra Population Systems with Jumps

Zhenzhong Zhang | Jinying Tong | Jianhai Bao
  • Special Issue
  • - Volume 2014
  • - Article ID 426036
  • - Research Article

The Optimal Portfolio Selection Model under -Expectation

Li Li
  • Special Issue
  • - Volume 2014
  • - Article ID 292653
  • - Research Article

Lyapunov Techniques for Stochastic Differential Equations Driven by Fractional Brownian Motion

Caibin Zeng | Qigui Yang | YangQuan Chen
  • Special Issue
  • - Volume 2014
  • - Article ID 179506
  • - Research Article

Law of Large Numbers under Choquet Expectations

Jing Chen
  • Special Issue
  • - Volume 2014
  • - Article ID 432718
  • - Research Article

An Optimal Control Problem of Forward-Backward Stochastic Volterra Integral Equations with State Constraints

Qingmeng Wei | Xinling Xiao
  • Special Issue
  • - Volume 2014
  • - Article ID 323091
  • - Research Article

Asymptotic Normality of the Estimators for Fractional Brownian Motions with Discrete Data

Lin Sun | Xiaojian Yu | ... | Qinghao Meng
  • Special Issue
  • - Volume 2014
  • - Article ID 216053
  • - Research Article

The Optimal Control Problem with State Constraints for Fully Coupled Forward-Backward Stochastic Systems with Jumps

Qingmeng Wei
  • Special Issue
  • - Volume 2014
  • - Article ID 645947
  • - Research Article

Weak and Strong Limit Theorems for Stochastic Processes under Nonadditive Probability

Xiaoyan Chen | Zengjing Chen
  • Special Issue
  • - Volume 2014
  • - Article ID 635917
  • - Research Article

Nonparametric Regression with Subfractional Brownian Motion via Malliavin Calculus

Yuquan Cang | Junfeng Liu | Yan Zhang
  • Special Issue
  • - Volume 2014
  • - Article ID 748376
  • - Research Article

Least Squares Estimation for -Fractional Bridge with Discrete Observations

Guangjun Shen | Xiuwei Yin
Abstract and Applied Analysis
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Acceptance rate7%
Submission to final decision110 days
Acceptance to publication33 days
CiteScore1.600
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