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UDC 681.518.2, 681.514
V.V. Skachkov1, V.V. Chepkii2, O.M. Yefymchykov3,
O.Yu. Korkin4, A.A. Goncharuk5



1 Scientific Center of the Military Academy, Odessa, Ukraine

v_skachkov@ukr.net

2 Scientific Center of the Military Academy, Odessa, Ukraine

chepkii-2015@ukr.net

3 Scientific Center of the Military Academy, Odessa, Ukraine

efalex57@gmail.com

4 Scientific Center of the Military Academy, Odessa, Ukraine

akorcin@ukr.net

5 Scientific Center of the Military Academy, Odessa, Ukraine

aa_goncharuk@ukr.net

SOLVING THE PROBLEM OF GENERATING STABLE AND CONSISTENTESTIMATES
OF THE CORRELATION MATRIX OF OBSERVATIONS BY THE DYNAMIC
REGULARIZATION METHOD

Abstract. The consistency of stable estimates of the correlation matrix of observations with their static and dynamic regularization is analyzed. The advantage of the dynamic regularization method with the optimal parameter in the context of resolving the contradiction of computational stability and consistency of sample estimates of the correlation matrix of observations is proved. An algorithm is obtained for calculating the optimal dynamic regularization parameter, which does not use forecasting data and does not require additional computational costs.

Keywords: regularization, consistency, stability, convergence, evaluation.



FULL TEXT

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