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A basis for iterated stochastic integrals

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Publication:1897650
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DOI10.1016/0378-4754(93)E0061-9zbMath0824.60046OpenAlexW2021134964MaRDI QIDQ1897650

J. G. Gaines

Publication date: 4 September 1995

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(93)e0061-9


zbMATH Keywords

stochastic differential equationshuffle productproduct of Itô integralsstochastic Taylor series expansion


Mathematics Subject Classification ID

Stochastic integrals (60H05)


Related Items (5)

Basic Concepts of Numerical Analysis of Stochastic Differential Equations Explained by Balanced Implicit Theta Methods ⋮ Construction of a Third-Order K-Scheme and Its Application to Financial Models ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Multiple stochastic integrals with Mathematica



Cites Work

  • Unnamed Item
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  • Stochastic flows and Taylor series
  • A natural ring basis for the shuffle algebra and an application to group schemes
  • Asymptotic expansion of stochastic flows
  • Stratonovich and Ito Stochastic Taylor Expansions
  • Lyndon Words, Free Algebras and Shuffles
  • The algebra of iterated stochastic integrals
  • On Burnside's Problem


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