Linear Skorokhod SDE: Evaluation of Expectations of Functionals

Author:

Egorov Alexander1,Zherelo Anatoly2

Affiliation:

1. Institute of Mathematics of National Academy of Science of Belarus

2. Belarusian State University

Abstract

This paper considers a linear stochastic differential equation (SDE) containing the Skorokhod integral. A formula for the approximate calculation of functionals of solutions of this equation is constructed, which is approximately exact for polynomials of the third order.

Publisher

Belarusian State University

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference8 articles.

1. A.D. Egorov, P.I. Sobolevsky, L.A. Yanovich. Functional integrals: Approximate evaluations and applications. (Kluwer Academic Publ., Ambler, 1993).

2. A.D. Egorov, E.P. Zhidkov, Y.Y. Lobanov. Introduction into theory and application of functional integration. (Physmatlit, Moscow, 2006). (in Russian)

3. A.D. Egorov, A.V. Zherelo. Approximations of functional integrals with respect to measure generated by solutions of stochastic differential equations. Monte Carlo Methods and Applications. 10, 257-264 (2004).

4. A.D. Egorov, A.V. Zherelo. Approximate formulas for expectation of functionals from solution to linear Skorohod stochastic differential equation. In: Proc. of the XII Int. Conf. “Computer Data Analysis and Modeling, 2019. Stochastics and Data Science”, Sept. 18-22, 2019, Minsk. Pp. 158-162.

5. A.D. Egorov. Approximate formulas for calculating the mathematical expectation of functionals from the solution of the linear Skorokhod equation. Proc. Nat. Acad. Sci. Belarus. 57, 198-205 (2021). (in Russian)

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the calculation of functionals from the solution of the linear Skorohod SDE with first-order chaos in the coefficients;Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series;2023-10-02

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3