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Volumn 24, Issue 3, 1996, Pages 1075-1083

A minimaxity criterion in nonparametric regression based on large-deviations probabilities

Author keywords

Exact asymptotics; Gaussian noise; Large deviations probabilities; Minimax risk; Nonparametric regression

Indexed keywords


EID: 0030514782     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1032526957     Document Type: Article
Times cited : (9)

References (9)
  • 1
    • 0000083313 scopus 로고
    • On the asymptotic efficiency of tests and estimators
    • BAHADUR, R. R. (1960). On the asymptotic efficiency of tests and estimators. Sankhyā Ser. A 22 229-252.
    • (1960) Sankhyā Ser. A , vol.22 , pp. 229-252
    • Bahadur, R.R.1
  • 3
    • 21344480943 scopus 로고
    • Asymptotic minimax risk for sup-norm loss: Solution via optimal recovery
    • DONOHO, D. L. (1994). Asymptotic minimax risk for sup-norm loss: solution via optimal recovery. Probab. Theory Related Fields 99 145-170.
    • (1994) Probab. Theory Related Fields , vol.99 , pp. 145-170
    • Donoho, D.L.1
  • 4
    • 0010170551 scopus 로고
    • Large sample point estimation: A large deviation theory approach
    • FU, J. C. (1982). Large sample point estimation: a large deviation theory approach. Ann. Statist. 10 762-771.
    • (1982) Ann. Statist. , vol.10 , pp. 762-771
    • Fu, J.C.1
  • 6
  • 7
    • 0002252004 scopus 로고
    • A survey of optimal recovery
    • C. A. Micchelli and T. J. Rivlin, eds. Plenum, New York
    • MICCHELLI, C. A. and RIVLIN, T. J. (1977). A survey of optimal recovery. In Optimal Estimation in Approximation Theory (C. A. Micchelli and T. J. Rivlin, eds.) 1-54. Plenum, New York.
    • (1977) Optimal Estimation in Approximation Theory , pp. 1-54
    • Micchelli, C.A.1    Rivlin, T.J.2
  • 8
    • 0001804113 scopus 로고
    • Estimation of location: A large deviation comparison
    • SIEVERS, G. L. (1978). Estimation of location: a large deviation comparison. Ann. Statist. 6 610-618.
    • (1978) Ann. Statist. , vol.6 , pp. 610-618
    • Sievers, G.L.1
  • 9
    • 0000439527 scopus 로고
    • Optimal global rates of convergence for nonparametric estimators
    • STONE, C. J. (1982). Optimal global rates of convergence for nonparametric estimators. Ann. Statist. 10 1040-1053.
    • (1982) Ann. Statist. , vol.10 , pp. 1040-1053
    • Stone, C.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.