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Asymptotically normal estimates of solutions of systems of linear algebraic equations. II

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Abstract

For the regularized solutions of systems of linear algebraic equations we find statistical estimates with respect to observations over the coefficient matrix of the system of equations. Under certain conditions it is proved that these estimates are asymptotically normal.

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Literature cited

  1. V. L. Girko, “Asymptotically normal estimates of solutions of systems of linear algebraic equations. I,” Ukr. Mat. Zh.,42, No. 6, 755–762 (1990).

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  2. V. L. Girko, Theory of Random Determinants [in Russian], Vishcha Shkola, Kiev (1980).

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  3. V. L. Girko, “Introduction to general statistical analysis,” Geor. Veroyatn. Primen.,32, No. 2, 250–265 (1987).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 7, pp. 900–907, July, 1990.

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Girko, V.L. Asymptotically normal estimates of solutions of systems of linear algebraic equations. II. Ukr Math J 42, 796–802 (1990). https://doi.org/10.1007/BF01062081

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  • DOI: https://doi.org/10.1007/BF01062081

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