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Identification of signals under statistical uncertainty
- Authors: Klimov V.V.1
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Affiliations:
- Fryazino Branch Kotelnikov Institute of Radioengineering and Electronics RAS
- Issue: Vol 70, No 11 (2025)
- Pages: 1095-1101
- Section: THEORY AND METHODS OF SIGNAL PROCESSING
- URL: https://journal-vniispk.ru/0033-8494/article/view/368154
- DOI: https://doi.org/10.7868/S3034590125110088
- ID: 368154
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Abstract
The statistical problem of accepting one of two hypotheses against the background of random noise is considered for the case when the a priori probability distribution of the hypotheses truth is known. The Bayesian risk is adopted as the objective function for optimizing the decision rule. Particular cases are considered.
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About the authors
V. V. Klimov
Fryazino Branch Kotelnikov Institute of Radioengineering and Electronics RAS
Email: klimov47@list.ru
Fryazino, Moscow Region, 141190
References
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- Mkrtchyan, F.A., Krapivin, V.F., Kovalev, V.I., and Klimov, V.V. Microwave and Optical Technology Letters, 2009, Vol. 51, No. 11, P. 2792.
- Klimov, V.V. Proceedings of the International Symposium “Engineering Ecology – 2009”. Moscow: MNTORES named after A.S. Popov, December 8–9, 2009, P. 169.
- Klimov, V.V. Proceedings of the VIII International Symposium “Problems of Ecoinformatics”. Moscow: MNTORES named after A.S. Popov, December 16–17, 2008, P. 127.
- Lehmann, E. Testing Statistical Hypotheses. Moscow: Nauka, 1979.
- Blackwell, D. and Girshick, M.A. Theory of Games and Statistical Decisions. Moscow: Foreign Literature Publishing House, 1958.
- Klimov, V.V. Proceedings of the VII International Symposium “Problems of Ecoinformatics”. Moscow: MNTORES named after A.S. Popov, December 5–7, 2006, P. 165.
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