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Volumn 33, Issue 1, 2005, Pages 21-37

Superefficiency of a projection density estimator;Estimation suroptimale de la densité par projection

Author keywords

Adaptive estimation; Data driven truncation index; Projection density estimator; Superoptimal rates

Indexed keywords


EID: 18544383438     PISSN: 03195724     EISSN: None     Source Type: Journal    
DOI: 10.1002/cjs.5540330103     Document Type: Article
Times cited : (4)

References (23)
  • 2
    • 0009166173 scopus 로고
    • Conditions nécessaires et suffisantes de convergence de l'estimateur de la densité par la méthode des fonctions orthogonales
    • J. Bleuez & D. Bosq (1979). Conditions nécessaires et suffisantes de convergence de l'estimateur de la densité par la méthode des fonctions orthogonales. Revue roumaine de mathématiques pures et appliquées, 24, 869-886.
    • (1979) Revue Roumaine de Mathématiques pures et Appliquées , vol.24 , pp. 869-886
    • Bleuez, J.1    Bosq, D.2
  • 3
    • 0037716169 scopus 로고    scopus 로고
    • Estimation localement suroptimale et adaptative de la densité
    • D. Bosq (2002a). Estimation localement suroptimale et adaptative de la densité. Comptes Rendus: Mathématique, 334, 591-595.
    • (2002) Comptes Rendus: Mathématique , vol.334 , pp. 591-595
    • Bosq, D.1
  • 6
    • 0001215143 scopus 로고
    • Evaluation of an unknown distribution density from observations
    • N. N. Cencov (1962). Evaluation of an unknown distribution density from observations. Soviet Mathematics, 3, 1559-1562.
    • (1962) Soviet Mathematics , vol.3 , pp. 1559-1562
    • Cencov, N.N.1
  • 11
    • 84947403595 scopus 로고
    • Probability inequalities for sums of bounded random variables
    • W. Hoeffding (1963). Probability inequalities for sums of bounded random variables. Journal of the American Statistical Association, 58, 13-30.
    • (1963) Journal of the American Statistical Association , vol.58 , pp. 13-30
    • Hoeffding, W.1
  • 12
  • 18
    • 0001529784 scopus 로고
    • Remarks on some nonparametric estimates of a density function
    • M. Rosenblatt (1956). Remarks on some nonparametric estimates of a density function. The Annals of Mathematical Statistics, 27, 832-837.
    • (1956) The Annals of Mathematical Statistics , vol.27 , pp. 832-837
    • Rosenblatt, M.1
  • 19
    • 0004197424 scopus 로고
    • Pure and Applied Mathematics 9. Interscience, New York
    • G. Sansone (1959). Orthogonal Functions. Pure and Applied Mathematics 9. Interscience, New York.
    • (1959) Orthogonal Functions
    • Sansone, G.1
  • 20
    • 84985611112 scopus 로고
    • Minimum variance unbiased estimation of probability densities
    • J. Singh (1980). Minimum variance unbiased estimation of probability densities. Australian Journal of Statistics, 22, 328-331.
    • (1980) Australian Journal of Statistics , vol.22 , pp. 328-331
    • Singh, J.1
  • 22
    • 0039440141 scopus 로고
    • Limit theorems for sums of independentrandom variables with values in a Hilbert space
    • S. R. S. Varadhan (1962). Limit theorems for sums of independentrandom variables with values in a Hilbert space. Sankhyā Series A, 24, 213-238.
    • (1962) Sankhyā Series A , vol.24 , pp. 213-238
    • Varadhan, S.R.S.1
  • 23
    • 0003103778 scopus 로고
    • Optimal convergence properties of variable knot, kernel and orthogonal series methods for density estimation
    • G. Wahba (1976). Optimal convergence properties of variable knot, kernel and orthogonal series methods for density estimation. The Annals of Statistics, 3, 15-29.
    • (1976) The Annals of Statistics , vol.3 , pp. 15-29
    • Wahba, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.