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A Generalization of N. N. Chentsov’s Projection Estimates

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In 1962, N. N. Chentsov suggested the following method of estimation of a functional parameter θ belonging to a Hilbert space H. He suggested to project θ to finite-dimensional subspaces of H and consider as estimates of θ estimates of these projections. In this paper, we suggest to consider the projections on all reproducing kernel subspaces of H. Bibliography: 15 titles.

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References

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Authors and Affiliations

  1. St. Petersburg Department of Steklov Mathematical Institute, St. Petersburg State University, St. Petersburg, Russia

    I. A. Ibragimov

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  1. I. A. Ibragimov
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Correspondence to I. A. Ibragimov.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 412, 2013, pp. 180–205.

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Ibragimov, I.A. A Generalization of N. N. Chentsov’s Projection Estimates. J Math Sci 204, 116–133 (2015). https://doi.org/10.1007/s10958-014-2190-7

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  • DOI: https://doi.org/10.1007/s10958-014-2190-7

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