Parametrix Methods for One-Dimensional Reflected SDEs

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Abstract

In this article, we revisit in a didactic manner the forward and backward approaches of the parametrix method for one-dimensional reflected stochastic differential equations on the half line. We give probabilistic expressions for the expectation of functionals of its solution and we also discuss properties of the associated density.

Original languageEnglish
Title of host publicationModern Problems of Stochastic Analysis and Statistics - Selected Contributions in Honor of Valentin Konakov
EditorsVladimir Panov
PublisherSpringer New York LLC
Pages43-66
Number of pages24
ISBN (Print)9783319653129
DOIs
Publication statusPublished - 1 Jan 2017
Externally publishedYes
EventInternational Conference on Modern problems of stochastic analysis and statistics, in honor On the occasion of Valentin Konakov’s 70th birthday, 2016 - Moscow, Russian Federation
Duration: 29 May 20162 Jun 2016

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume208
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceInternational Conference on Modern problems of stochastic analysis and statistics, in honor On the occasion of Valentin Konakov’s 70th birthday, 2016
Country/TerritoryRussian Federation
CityMoscow
Period29/05/162/06/16

Keywords

  • Parametrix method
  • Probabilistic representation
  • Reflected SDEs

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