Recursive least-squares and accelerated convergence in stochastic approximation schemes (Q2722623)

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scientific article; zbMATH DE number 1613242
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Recursive least-squares and accelerated convergence in stochastic approximation schemes
scientific article; zbMATH DE number 1613242

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    Recursive least-squares and accelerated convergence in stochastic approximation schemes (English)
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    2 July 2001
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    linear regression model
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    time-varying parameters
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    stochastic approximation
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    recursive least squares
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    The paper deals with a (generalized) linear regression model in which a parameter is varying in time, however a case of white regressors is considered only. The aim of the paper is to deal with an acceleration of the convergence of approximation (gradient based) algorithms.NEWLINENEWLINEThe introduced accelerated scheme is obtained from the basic algorithm by a second round averaging. A comparison with the recursive-least-squares estimate is introduced in the paper. Especially, the corresponding asymptotic result is formulated in a Theorem that is carefully proved.NEWLINENEWLINEThe paper follows a few former papers on the similar topic. Moreover, in spite of the fact that only white regression is admitted in suggested methods, a discussion about a possibility of mixing regressors can be there found.
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