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Volumn 25, Issue 4, 1997, Pages 545-558

A general lower bound of minimax risk for absolute-error loss

Author keywords

Hellinger distance; Hellinger modulus; Lower bound; Minimax risk; Unified estimation theory

Indexed keywords


EID: 0031283655     PISSN: 03195724     EISSN: None     Source Type: Journal    
DOI: 10.2307/3315347     Document Type: Article
Times cited : (7)

References (15)
  • 1
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    • (1979) Z. Wahrsch. Verw. Geb. , vol.47 , pp. 119-137
    • Bretagnolle, J.1    Huber, C.2
  • 2
    • 34250136988 scopus 로고
    • Approximation dans les espaces métriques et théorie de l'estimation
    • Birgé, L. (1983). Approximation dans les espaces métriques et théorie de l'estimation. Z. Wahrsch. Verw. Geb., 65, 191-237.
    • (1983) Z. Wahrsch. Verw. Geb. , vol.65 , pp. 191-237
    • Birgé, L.1
  • 3
    • 21344492381 scopus 로고
    • Rates of convergence for minimum contrast estimators
    • Birgé, L., and Massart, P. (1993). Rates of convergence for minimum contrast estimators. Probab. Theory Related Fields, 97, 113-150.
    • (1993) Probab. Theory Related Fields , vol.97 , pp. 113-150
    • Birgé, L.1    Massart, P.2
  • 5
    • 0010946490 scopus 로고
    • Technical Report, Dept. of Statistics, University of California, Berkeley
    • Donoho, D.L. and Liu, R.C. (1987). Geometrizing rates of convergence I. Technical Report, Dept. of Statistics, University of California, Berkeley.
    • (1987) Geometrizing Rates of Convergence I
    • Donoho, D.L.1    Liu, R.C.2
  • 6
    • 0000251163 scopus 로고
    • Geometrizing rates of convergence II
    • Donoho, D.L., and Liu, R.C. (1991a). Geometrizing rates of convergence II. Ann. Statist., 19, 633-667.
    • (1991) Ann. Statist. , vol.19 , pp. 633-667
    • Donoho, D.L.1    Liu, R.C.2
  • 7
    • 0000251164 scopus 로고
    • Geometrizing rates of convergence III
    • Donoho, D.L., and Liu, R.C. (1991b). Geometrizing rates of convergence III. Ann. Statist., 19, 668-701.
    • (1991) Ann. Statist. , vol.19 , pp. 668-701
    • Donoho, D.L.1    Liu, R.C.2
  • 9
    • 0001786903 scopus 로고
    • Convergence of estimates under dimensionality restrictions
    • LeCam, L. (1973). Convergence of estimates under dimensionality restrictions. Ann. Statist. 1, 38-53.
    • (1973) Ann. Statist. , vol.1 , pp. 38-53
    • LeCam, L.1
  • 10
    • 0010897618 scopus 로고
    • On local and global properties in the theory of asymptotic normality of experiments
    • (M.L. Puri, ed.), Academic Press, New York
    • LeCam, L. (1975). On local and global properties in the theory of asymptotic normality of experiments. Stochastic Processes and Related Topics. Volume 1 (M.L. Puri, ed.), Academic Press, New York, 13-54.
    • (1975) Stochastic Processes and Related Topics , vol.1 , pp. 13-54
    • LeCam, L.1
  • 13
    • 0000643161 scopus 로고
    • Rates of convergence of minimum distance estimators and Kolmogorov's entropy
    • Yatracos, Y.G. (1985). Rates of convergence of minimum distance estimators and Kolmogorov's entropy. Ann. Statist., 13, 768-774.
    • (1985) Ann. Statist. , vol.13 , pp. 768-774
    • Yatracos, Y.G.1
  • 14
    • 0001748155 scopus 로고
    • A lower bound on the error in nonparametric regression type problems
    • Yatracos, Y.G. (1988). A lower bound on the error in nonparametric regression type problems. Ann. Statist., 16, 1180-1187.
    • (1988) Ann. Statist. , vol.16 , pp. 1180-1187
    • Yatracos, Y.G.1
  • 15
    • 0010891094 scopus 로고
    • A regression type problem
    • Yatracos, Y.G. (1989). A regression type problem. Ann. Statist., 17, 1597-1607.
    • (1989) Ann. Statist. , vol.17 , pp. 1597-1607
    • Yatracos, Y.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.