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Journal of Automation and Information Sciences

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Guaranteed Estimation of Parameters of Linear Algebraic Equations for Nonstationary Observations

Volume 46, Issue 1, 2014, pp. 20-29
DOI: 10.1615/JAutomatInfScien.v46.i1.30
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ABSTRACT

Estimates of solutions of linear algebraic equations with degenerated matrixes and unknown right-hand parts are considered. For nonstationary observations of equations solutions with errors, which are random processes with the given first and second moments, we investigate the problems of representation of root-mean-square estimates using solutions of systems of algebraic equations.

REFERENCES
  1. Nakonechnyi A.G. , Estimation of parameters under uncertainty.

  2. Nakonechnyi A.G. , Minimax estimation of functionals of solutions of variational equations in the Hilbert space [in Russian].

  3. Kuntsevich V.M. , Control under uncertainty: guaranteed results in problems of control and identification [in Russian].

  4. Zhuk S.M., Nakonechnyi A.G. , Estimation of solutions of algebraic-differential equations under uncertainty [in Ukrainian].

  5. Demidenko S.V., Nakonechnyi A.G., Zhuk S.M. , On the problem of minimax estimation of solutions of one-dimensional boundary value problems.

  6. Albert A. , Regression, pseudoinversion amd recurrent estimation [Russian translation].

CITED BY
  1. Nakonechnyi Oleksandr, Zinko Petro, Zinko Taras, Shevchuk Iuliia, Filtering problem for the non-stationary random processes with unknown correlation functions, 2019 International Conference on Information and Telecommunication Technologies and Radio Electronics (UkrMiCo), 2019. Crossref

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