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Teor. Veroyatnost. i Primenen., 1990, Volume 35, Issue 4, Pages 704–715 (Mi tvp1403)  

This article is cited in 12 scientific papers (total in 13 papers)

Minimax detection of a signal in Gaussian white noise

M. S. Ermakov


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English version:
Theory of Probability and its Applications, 1990, 35:4, 667–679

Bibliographic databases:

Received: 09.12.1987

Citation: M. S. Ermakov, “Minimax detection of a signal in Gaussian white noise”, Teor. Veroyatnost. i Primenen., 35:4 (1990), 704–715; Theory Probab. Appl., 35:4 (1990), 667–679

Citation in format AMSBIB
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\by M.~S.~Ermakov
\paper Minimax detection of a~signal in Gaussian white noise
\jour Teor. Veroyatnost. i Primenen.
\yr 1990
\vol 35
\issue 4
\pages 704--715
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1090496}
\zmath{https://zbmath.org/?q=an:0744.62117|0724.62082}
\transl
\jour Theory Probab. Appl.
\yr 1990
\vol 35
\issue 4
\pages 667--679
\crossref{https://doi.org/10.1137/1135098}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1990GZ59600004}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Yu. I. Ingster, I. A. Suslina, “Minimax Detection of a Signal for Besov Bodies and Balls”, Problems Inform. Transmission, 34:1 (1998), 48–59  mathnet  mathscinet  zmath
    2. Juditsky A., Nemirovski A., “On nonparametric tests of positivity/monotonicity/convexity”, Annals of Statistics, 30:2 (2002), 498–527  crossref  mathscinet  zmath  isi
    3. M. S. Ermakov, “Minimax detection of signal in weighted Gaussian white noise”, J. Math. Sci. (N. Y.), 137:1 (2006), 4516–4524  mathnet  crossref  mathscinet  zmath
    4. Yu. I. Ingster, I. A. Suslina, “On estimation and detection of infinite-variable function”, J. Math. Sci. (N. Y.), 139:3 (2006), 6548–6561  mathnet  crossref  mathscinet  zmath
    5. Yu. I. Ingster, I. A. Suslina, “On estimation and detection of a function from tensor product spaces”, J. Math. Sci. (N. Y.), 152:6 (2008), 897–920  mathnet  crossref
    6. M. S. Ermakov, “Nonparametric Hypothesis Testing with Small Type I or Type II Error Probabilities”, Problems Inform. Transmission, 44:2 (2008), 119–137  mathnet  crossref  mathscinet  isi
    7. Yu. I. Ingster, I. A. Suslina, “Adaptive detection of functions of large number of variables”, J. Math. Sci. (N. Y.), 167:4 (2010), 522–530  mathnet  crossref
    8. Ingster Yu., Stepanova N., “Estimation and detection of functions from anisotropic Sobolev classes”, Electronic Journal of Statistics, 5 (2011), 484–506  crossref  isi
    9. Yu. I. Ingster, N. A. Stepanova, “Adaptive variable selection in nonparametric sparse regression”, J. Math. Sci. (N. Y.), 199:2 (2014), 184–201  mathnet  crossref  mathscinet
    10. Ingster Yu.I. Sapatinas T. Suslina I.A., “Minimax Signal Detection in Ill-Posed Inverse Problems”, Ann. Stat., 40:3 (2012), 1524–1549  crossref  isi
    11. “To the memory of Yu. I. Ingster”, J. Math. Sci. (N. Y.), 204:1 (2015), 1–6  mathnet  crossref  mathscinet
    12. Ji P. Nussbaum M., “Sharp Minimax Adaptation Over Sobolev Ellipsoids in Nonparametric Testing”, Electron. J. Stat., 11:2 (2017), 4515–4562  crossref  isi
    13. M. S. Ermakov, “Ob asimptoticheski minimaksnom obnaruzhenii signala v gaussovskom belom shume”, Veroyatnost i statistika. 27, Zap. nauchn. sem. POMI, 474, POMI, SPb., 2018, 124–138  mathnet
  • Теория вероятностей и ее применения Theory of Probability and its Applications
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