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On the distribution of a double stochastic integral

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Publication:4743518
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DOI10.1007/BF00534993zbMath0506.60048MaRDI QIDQ4743518

David Nualart

Publication date: 1983

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)


zbMATH Keywords

Wiener process with a two-dimensional parameter


Mathematics Subject Classification ID

Random fields (60G60) Stochastic integrals (60H05)


Related Items (2)

The distribution of a double stochastic integral with respect to two independent brownian sheets ⋮ On quadratic functionals of the Brownian sheet and related processes



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Stochastic integrals in the plane
  • Differentiation formulas for stochastic integrals in the plane
  • Martingale invariance principles
  • Multiple Wiener integral
  • Weak convergence to the law of two-parameter continuous processes
  • A class of martingales with non-symmetric limit distributions
  • A note on convergence to mixtures of normal distributions
  • Convergence of Quadratic Forms in Independent Random Variables
  • Convergence Criteria for Multiparameter Stochastic Processes and Some Applications


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