Abstract
Proposed was a method to check hypotheses about values of the variance and mean value of the linear function of the state vector by a run of regression experiments in the multicollinearity conditions. The method is oriented to the high-dimensionality problems arising upon finalizing complex technical systems.
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REFERENCES
Rusakov, A.I., Checking Hypothesis of Distribution of the System State Vector by a Run of Regression Experiments under Multicollinearity, Avtom. Telemekh., 1996, no. 5, pp. 82–95.
Rusakov, A.I., Nonoptimal Estimates in the Case of Multicollinearity, Avtom. Telemekh., 1994, no. 10, pp. 88–104.
Rusakov, A.I., An Asymptotic Approach to Analyzing Multicollinearity of the Regression Model, Avtom. Telemekh., 1998, no. 1, pp. 181–186.
Prikladnaya statistika: Issledovanie zavisimostei (Applied Statistics: Study of Dependences), Aivazyan, S.A., Ed., Moscow: Finansy i Statistika, 1985.
Komp'yuternaya biometrika (Computer Biometrics), Nosov, V.N., Ed., Moscow: Mosk. Gos. Univ., 1990.
Khachaturov, V.R. and Utkin, S.L., Solution of the Multiextremal Problems of Concave Programming by the Approximation-Combinatorial Method, Preprint of Computer Center, USSR Acad. Sci., Moscow, 1988.
Utkin, S.L., Khachaturov, V.R., and Hoang Tui, On Conical Algorithms to Solve the Problem of Concave Programming and Some Its Generalizations, Zh. Vychisl. Mat. Mat. Fiz., 1988, vol. 28, no. 7, pp. 992–999.
Komandno-izmeritel'nye pribory (Command Instrumentation), Nazarov, B.I., Ed., Moscow: Minist. Oborony SSSR, 1975.
Velikovskii, V.Sh. and Rubinchik, I.I., Radiotekhnicheskaya apparatura dlya izmereniya traektorii raket i kosmicheskikh apparatov (Radio Instrumentation for Measuring the Trajectories of Missiles and Spacecraft), Moscow: Mashinostroenie, 1964.
Rusakov, A.I. and Kokhanenko, I.K., On Accuracy of Evaluating the State of a Linear System by Recurrent Algorithms, Kosm. Issled., 1992, vol. 30, no. 3, pp. 291–300.
Borovkov A.A., Matematicheskaya statistika (Otsenka parametrov. Proverka gipotez) (Mathematical Statistics (Evaluation of Parameters. Hypothesis Checking)), Moscow: Nauka, 1984.
Strategicheskoe yadernoe vooruzhenie Rossii (Strategic Nuclear Arms of Russia), Podvig, P.L., Ed., Moscow: IzdAT, 1998.
Rusakov, A.I., Partially Bayesian Approach to the Acceptance Testing of Technical Objects, Avtom. Telemekh., 1998, no. 4, pp. 166–172.
Reliability Handbook, W.G. Ireson, Ed., New York: McGraw-Hill, 1966. Translated under the title Spravochnik po nadezhnosti, Moscow: Mir, 1969, vol. 1.
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Rusakov, A.I. An Improved Reduction Algorithm to Check Hypotheses for the Multicollinear Regression Model. Automation and Remote Control 62, 762–771 (2001). https://doi.org/10.1023/A:1010274824015
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DOI: https://doi.org/10.1023/A:1010274824015