메뉴 건너뛰기




Volumn 22, Issue 6, 1996, Pages 599-617

Adaptive orthogonal series density estimation for small samples

Author keywords

Adaptation; Density; MISE; Nonparametric; Orthogonal series; Small sample

Indexed keywords

MONTE CARLO METHODS; OPTIMAL CONTROL SYSTEMS; PARAMETER ESTIMATION;

EID: 0030265485     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-9473(96)00012-6     Document Type: Article
Times cited : (13)

References (21)
  • 3
    • 0001014229 scopus 로고
    • Minimax risk over hyperrectangles and implications
    • Donoho, D., R. Liu and K.B. MacGibbon, Minimax risk over hyperrectangles and implications, Ann. Statist., 18 (1990) 1416-1437.
    • (1990) Ann. Statist. , vol.18 , pp. 1416-1437
    • Donoho, D.1    Liu, R.2    MacGibbon, K.B.3
  • 4
    • 0007648740 scopus 로고
    • New minimax theorems, thresholding, and adaptation
    • Stanford University, Stanford
    • Donoho, D. and I. Johnstone, New minimax theorems, thresholding, and adaptation, Technical Report (Stanford University, Stanford 1992).
    • (1992) Technical Report
    • Donoho, D.1    Johnstone, I.2
  • 5
    • 0041672987 scopus 로고
    • Adapting to unknown smoothness via wavelet shrinkage
    • Stanford University, Stanford
    • Donoho, D. and I. Johnstone, Adapting to unknown smoothness via wavelet shrinkage, Technical Report (Stanford University, Stanford 1993).
    • (1993) Technical Report
    • A, D.D.1    Johnstone, I.2
  • 7
    • 0010950787 scopus 로고
    • The selection of terms in an orthogonal series density estimator
    • Diggle, P. and P. Hall, The selection of terms in an orthogonal series density estimator, J. Amer. Stat. Assoc., 81 (1986) 230-233.
    • (1986) J. Amer. Stat. Assoc. , vol.81 , pp. 230-233
    • Diggle, P.1    Hall, P.2
  • 8
    • 0009407925 scopus 로고
    • Estimating a square integrable probability density of a random variable
    • Efromovich, S. and M.S. Pinsker, Estimating a square integrable probability density of a random variable, Problems Inform. Transmission, 18 (1982) 19-38.
    • (1982) Problems Inform. Transmission , vol.18 , pp. 19-38
    • Efromovich, S.1    Pinsker, M.S.2
  • 9
    • 0012722713 scopus 로고
    • Nonparametric estimation of a density with unknown smoothness
    • Efromovich, S., Nonparametric estimation of a density with unknown smoothness, Theory Probab. Appl., 30 (1985) 557-568.
    • (1985) Theory Probab. Appl. , vol.30 , pp. 557-568
    • Efromovich, S.1
  • 12
    • 0041143783 scopus 로고
    • Cross-validation and the smoothing of orthogonal series density estimators
    • Hall, P., Cross-validation and the smoothing of orthogonal series density estimators, J. Multivariate Anal., 21 (1987) 181-206.
    • (1987) J. Multivariate Anal. , vol.21 , pp. 181-206
    • Hall, P.1
  • 13
    • 84950426173 scopus 로고
    • Recent developments in nonparametric density estimation
    • Izenman, A., Recent developments in nonparametric density estimation, J. Amer. Statist. Assoc., 86 (1991) 205-224.
    • (1991) J. Amer. Statist. Assoc. , vol.86 , pp. 205-224
    • Izenman, A.1
  • 14
    • 0000319005 scopus 로고
    • The estimation of probability densities and cumulatives by Fourier series methods
    • Kronmal, R. and M. Tarter, The estimation of probability densities and cumulatives by Fourier series methods, J. Amer. Statist. Assoc., 63 (1968) 925-952.
    • (1968) J. Amer. Statist. Assoc. , vol.63 , pp. 925-952
    • Kronmal, R.1    Tarter, M.2
  • 15
    • 0001366850 scopus 로고
    • Exact mean integrated squared error
    • Marron, S. and M. Wand, Exact mean integrated squared error, Ann. Statist., 20 (1992) 712-736.
    • (1992) Ann. Statist. , vol.20 , pp. 712-736
    • Marron, S.1    Wand, M.2
  • 20
    • 0040480965 scopus 로고
    • Density estimation by orthogonal series
    • Watson, G.S., Density estimation by orthogonal series, Ann. Math. Statist., 40 (1969) 1496-1498.
    • (1969) Ann. Math. Statist. , vol.40 , pp. 1496-1498
    • Watson, G.S.1
  • 21
    • 0003103778 scopus 로고
    • Optimal convergence properties of variable knot, kernel, and orthogonal series methods for density estimation
    • Wahba, G., Optimal convergence properties of variable knot, kernel, and orthogonal series methods for density estimation, Ann. Statist., 1 (1975) 15-29.
    • (1975) Ann. Statist. , vol.1 , pp. 15-29
    • Wahba, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.