Continuous Time Normal Martingales

Research output: Chapters, Conference Papers, Creative and Literary WorksChapter in research book/monograph/textbook (Author)peer-review

View graph of relations

Author(s)

  • Nicolas Privault

Related Research Unit(s)

Detail(s)

Original languageEnglish
Title of host publicationStochastic Analysis in Discrete and Continuous Settings
Subtitle of host publicationWith Normal Martingales
PublisherSpringer-Verlag Berlin Heidelberg
Chapter2
Pages59-112
ISBN (electronic)9783642023804
ISBN (print)9783642023798
Publication statusPublished - 2009

Publication series

NameLecture Notes in Mathematics
PublisherSpringer-Verlag Berlin Heidelberg
Volume1982
ISSN (Print)0075-8434
ISSN (electronic)1617-9692

Abstract

This chapter is concerned with the basics of stochastic calculus in continuous time. In continuation of Chapter 1 we keep considering the point of view of normal martingales and structure equations, which provides a unified treatment of stochastic integration and calculus that applies to both continuous and discontinuous processes. In particular we cover the construction of single and multiple stochastic integrals with respect to normal martingales and we discuss other classical topics such as quadratic variations and the Itô formula.

Citation Format(s)

Continuous Time Normal Martingales. / Privault, Nicolas.
Stochastic Analysis in Discrete and Continuous Settings: With Normal Martingales. Springer-Verlag Berlin Heidelberg, 2009. p. 59-112 (Lecture Notes in Mathematics; Vol. 1982).

Research output: Chapters, Conference Papers, Creative and Literary WorksChapter in research book/monograph/textbook (Author)peer-review