Solving the Problem of Forming Stable and Consistent Estimates of a Correlation Matrix of Observations Using the Method of Dynamic Regularization


We analyze the consistency of stable estimates of a correlation matrix of observations at their static and dynamic regularization. We prove the advantage of the dynamic regularization method with the optimal parameter in the context of resolving the contradiction “computational stability–consistency” of sample estimates of a correlation matrix of observations. We obtain the algorithm for computation of the optimal parameter of dynamic regularization that do not use predicted data and do not require additional computational costs.

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Correspondence to V. V. Skachkov.

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Translated from Kibernetyka ta Systemnyi Analiz, No. 1, January–February, 2021, pp. 94–103.

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Skachkov, V.V., Chepkii, V.V., Yefymchykov, O.M. et al. Solving the Problem of Forming Stable and Consistent Estimates of a Correlation Matrix of Observations Using the Method of Dynamic Regularization. Cybern Syst Anal 57, 82–90 (2021).

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  • regularization
  • consistency
  • stability
  • convergence
  • estimate