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Asymptotic expansions of the Robbins-Monro process

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Publication:1019535
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DOI10.3103/S106653070802004XzbMath1282.62176OpenAlexW2014465759MaRDI QIDQ1019535

Jürgen Dippon

Publication date: 2 June 2009

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s106653070802004x


zbMATH Keywords

stochastic approximationEdgeworth expansionRobbins-Monro procedure


Mathematics Subject Classification ID

Stochastic approximation (62L20)


Related Items

Higher order representations of the Robbins--Monro process ⋮ Edgeworth expansions for stochastic approximation theory



Cites Work

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  • Inverting an Edgeworth expansion
  • Edgeworth expansions for stochastic approximation theory
  • New method of stochastic approximation type
  • On the validity of the formal Edgeworth expansion
  • Higher order representations of the Robbins--Monro process
  • Approximations to noncentral distributions
  • Acceleration of Stochastic Approximation by Averaging
  • An invariance principle for the Robbins-Monro process in a Hilbert space
  • An Extension of the Robbins-Monro Procedure
  • Asymptotic Distribution of Stochastic Approximation Procedures
  • A Stochastic Approximation Method
  • The bootstrap and Edgeworth expansion
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