A combined algorithm for identification and approximation (Q1099561)

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scientific article; zbMATH DE number 4041098
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English
A combined algorithm for identification and approximation
scientific article; zbMATH DE number 4041098

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    A combined algorithm for identification and approximation (English)
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    1987
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    This paper deals with a joint parameter estimation and finding a root or minimum point. A stochastic approximation method with truncation at random bounds is applied to root-finding of a nonlinear regression function. While the extended least squares method is used to estimate the unknown parameters in measurement errors represented by a moving average model, convergence rates of the estimator of the unknown parameters and the root or the minimum point are derived.
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    combined algorithm
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    almost sure convergence
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    unconstrained and constrained problems
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    ARMAX models
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    minimum
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    truncation at random bounds
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    root-finding of a nonlinear regression function
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    extended least squares method
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    measurement errors
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    moving average model
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    convergence rates
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