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Volumn 8, Issue 5, 2002, Pages 577-606

Non-asymptotic minimax rates of testing in signal detection

Author keywords

Adaptive testing; Besov body; Ellipsoid; Minimax hypothesis testing; Minimax separation rate; Signal detection

Indexed keywords


EID: 24344470806     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (162)

References (17)
  • 1
    • 0000363076 scopus 로고
    • Exchangeability and related topics
    • P.-L. Hennequin (ed.) Lecture Notes in Math. 1117. Berlin: Springer-Verlag
    • Aldous, D.J. (1985) Exchangeability and related topics. In P.-L. Hennequin (ed.), Ecole d'Été de Probabilités de Saint-Flour XIII, Lecture Notes in Math. 1117, pp. 1-198. Berlin: Springer-Verlag.
    • (1985) Ecole d'Été de Probabilités de Saint-flour XIII , pp. 1-198
    • Aldous, D.J.1
  • 2
    • 33747377476 scopus 로고    scopus 로고
    • A new test of linear hypothesis in regression
    • C. Huber-Carol, N. Balakrishnan, M.S. Nikulin and M. Mesbah (eds). Boston: Birkhäuser
    • Baraud, Y., Huet, S. and Laurent, B. (2002) A new test of linear hypothesis in regression. In C. Huber-Carol, N. Balakrishnan, M.S. Nikulin and M. Mesbah (eds), Goodness-of-Fit Tests and Model Validity, pp. 195-207. Boston: Birkhäuser.
    • (2002) Goodness-of-fit Tests and Model Validity , pp. 195-207
    • Baraud, Y.1    Huet, S.2    Laurent, B.3
  • 3
    • 21144438312 scopus 로고    scopus 로고
    • Adaptive tests of linear hypotheses by model selection
    • To appear
    • Baraud, Y., Huet, S. and Laurent, B. (2003) Adaptive tests of linear hypotheses by model selection. Ann. Statist., 31. To appear.
    • (2003) Ann. Statist. , vol.31
    • Baraud, Y.1    Huet, S.2    Laurent, B.3
  • 4
    • 0042613398 scopus 로고    scopus 로고
    • An alternative point of view on Lepski's method
    • M. de Gunst, C. Klaassen and A. van der Vaart (eds) IMS Lecture Notes Monogr. Ser. 36. Beachwood, OH: Institute of Mathematical Statistics
    • Birgé, L. (2001) An alternative point of view on Lepski's method. In M. de Gunst, C. Klaassen and A. van der Vaart (eds), State of the Art in Probability and Statistics: Festschrift for Willem R. van Zwet, IMS Lecture Notes Monogr. Ser. 36, pp. 113-133. Beachwood, OH: Institute of Mathematical Statistics.
    • (2001) State of the Art in Probability and Statistics: Festschrift for Willem R. Van Zwet , pp. 113-133
    • Birgé, L.1
  • 5
  • 6
    • 0032334093 scopus 로고    scopus 로고
    • Minimax estimation via wavelet shrinkage
    • Donoho, D.L. and Johnstone, I.M. (1998) Minimax estimation via wavelet shrinkage. Ann. Statist., 26, 879-921.
    • (1998) Ann. Statist. , vol.26 , pp. 879-921
    • Donoho, D.L.1    Johnstone, I.M.2
  • 7
    • 0013086459 scopus 로고
    • Minimax detection of a signal in a Gaussian white noise
    • Ermakov, M.S. (1991) Minimax detection of a signal in a Gaussian white noise. Theory Probab. Appl., 35, 667-679.
    • (1991) Theory Probab. Appl. , vol.35 , pp. 667-679
    • Ermakov, M.S.1
  • 8
    • 0003058689 scopus 로고
    • Asymptotically minimax hypothesis testing for nonparametric alternatives I
    • Ingster, Yu.I. (1993a) Asymptotically minimax hypothesis testing for nonparametric alternatives I. Math. Methods Statist., 2, 85-114.
    • (1993) Math. Methods Statist. , vol.2 , pp. 85-114
    • Ingster, Yu.I.1
  • 9
    • 0000484198 scopus 로고
    • Asymptotically minimax hypothesis testing for nonparametric alternatives II
    • Ingster, Yu.I. (1993b) Asymptotically minimax hypothesis testing for nonparametric alternatives II. Math. Methods Statist., 3, 171-189.
    • (1993) Math. Methods Statist. , vol.3 , pp. 171-189
    • Ingster, Yu.I.1
  • 10
    • 0001047522 scopus 로고
    • Asymptotically minimax hypothesis testing for nonparametric alternatives III
    • Ingster, Yu.I. (1993c) Asymptotically minimax hypothesis testing for nonparametric alternatives III. Math. Methods Statist., 4, 249-268.
    • (1993) Math. Methods Statist. , vol.4 , pp. 249-268
    • Ingster, Yu.I.1
  • 11
    • 33747338229 scopus 로고    scopus 로고
    • Adaptation in minimax nonparametric hypothesis testing for ellipsoids and Besov bodies
    • Weierstrass Institute, Berlin
    • Ingster, Yu.I. (1998) Adaptation in minimax nonparametric hypothesis testing for ellipsoids and Besov bodies. Technical report 419, Weierstrass Institute, Berlin.
    • (1998) Technical Report , vol.419
    • Ingster, Yu.I.1
  • 12
    • 0012902485 scopus 로고    scopus 로고
    • Minimax detection of a signal for Besov bodies and balls
    • Ingster, Yu.I. and Suslina I.A. (1998) Minimax detection of a signal for Besov bodies and balls. Problems Inform. Transmission, 34, 48-59.
    • (1998) Problems Inform. Transmission , vol.34 , pp. 48-59
    • Ingster, Yu.I.1    Suslina, I.A.2
  • 13
    • 0034287154 scopus 로고    scopus 로고
    • Adaptive estimation of a quadratic functional by model selection
    • Laurent, B., and Massart, P. (2000) Adaptive estimation of a quadratic functional by model selection. Ann. Statist., 28, 1302-1338.
    • (2000) Ann. Statist. , vol.28 , pp. 1302-1338
    • Laurent, B.1    Massart, P.2
  • 16
    • 0000365255 scopus 로고    scopus 로고
    • Minimax nonparametric hypothesis testing: The case of inhomogeneous alternative
    • Lepski, O.V. and Spokoiny, V.G. (1999) Minimax nonparametric hypothesis testing: the case of inhomogeneous alternative. Bernoulli, 5, 333-358.
    • (1999) Bernoulli , vol.5 , pp. 333-358
    • Lepski, O.V.1    Spokoiny, V.G.2
  • 17
    • 0030342998 scopus 로고    scopus 로고
    • Adaptive hypothesis testing using wavelets
    • Spokoiny, V.G. (1996) Adaptive hypothesis testing using wavelets. Ann. Statist., 24, 2477-2498.
    • (1996) Ann. Statist. , vol.24 , pp. 2477-2498
    • Spokoiny, V.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.