메뉴 건너뛰기




Volumn 9, Issue 2, 1998, Pages 197-216

On the L1-error in histogram density estimation: The multidimensional case

Author keywords

Asymptotic normality; Density estimation; Histogram estimators

Indexed keywords


EID: 0000211021     PISSN: 10485252     EISSN: None     Source Type: Journal    
DOI: 10.1080/10485259808832742     Document Type: Article
Times cited : (11)

References (15)
  • 1
    • 0026914305 scopus 로고
    • Distribution estimation consistent in total variation and in two types of information divergence
    • Barron, A. R., Györfi, L. and van der Meulen, E. C. (1992). Distribution estimation consistent in total variation and in two types of information divergence, IEEE Transactions on Information Theory, 38, 1437-1454.
    • (1992) IEEE Transactions on Information Theory , vol.38 , pp. 1437-1454
    • Barron, A.R.1    Györfi, L.2    Van Der Meulen, E.C.3
  • 6
    • 0000797991 scopus 로고
    • On some global measures of the deviation of density function estimates
    • Bickel, P. and Rosenblatt, M. (1973). On some global measures of the deviation of density function estimates, Ann. Statist., 1, 1071-1095.
    • (1973) Ann. Statist. , vol.1 , pp. 1071-1095
    • Bickel, P.1    Rosenblatt, M.2
  • 8
    • 0000218321 scopus 로고
    • Functional laws of the iterated logarithm for the increments of empirical and quantile processes
    • Deheuvels, P. and Mason, D. M. (1992). Functional laws of the iterated logarithm for the increments of empirical and quantile processes, Ann. Probab., 20, 1248-1287.
    • (1992) Ann. Probab. , vol.20 , pp. 1248-1287
    • Deheuvels, P.1    Mason, D.M.2
  • 10
    • 38249035072 scopus 로고
    • The order of magnitude of the moments of the modulus of continuity of multiparameter Poisson and empirical processes
    • Einmahl, J. H. J. and Ruymgaart, F. H. (1987). The order of magnitude of the moments of the modulus of continuity of multiparameter Poisson and empirical processes, J. Multiv. Analysis, 21, 263-273.
    • (1987) J. Multiv. Analysis , vol.21 , pp. 263-273
    • Einmahl, J.H.J.1    Ruymgaart, F.H.2
  • 11
    • 0001872520 scopus 로고
    • Central limit theorem for integrated square error of multivariate nonparametric density estimators
    • Hall, P. (1994). Central limit theorem for integrated square error of multivariate nonparametric density estimators, Journal of Multivariate Analysis, 14, 1-16.
    • (1994) Journal of Multivariate Analysis , vol.14 , pp. 1-16
    • Hall, P.1
  • 12
    • 0038094997 scopus 로고
    • p-norms of multivariate density estimators
    • p-norms of multivariate density estimators, Ann. Statist., 19, 1933-1949.
    • (1991) Ann. Statist. , vol.19 , pp. 1933-1949
    • Horváth, L.1
  • 13
    • 0002542168 scopus 로고
    • A quadratic measure of deviation of two-dimensional density estimates and a test of independence
    • Rosenblatt, M. (1975). A quadratic measure of deviation of two-dimensional density estimates and a test of independence, Ann. Statist., 3, 1-14.
    • (1975) Ann. Statist. , vol.3 , pp. 1-14
    • Rosenblatt, M.1
  • 14
    • 3042976336 scopus 로고
    • On the maximal deviation of k-dimensional density estimates
    • Rosenblatt, M. (1976). On the maximal deviation of k-dimensional density estimates, Ann. Probab., 4, 1009-1015.
    • (1976) Ann. Probab. , vol.4 , pp. 1009-1015
    • Rosenblatt, M.1
  • 15
    • 0009314705 scopus 로고
    • Speeds of convergence for the multidimensional central limit theorem
    • Sweeting, T. J. (1977). Speeds of convergence for the multidimensional central limit theorem, Ann. Probab., 5, 28-41.
    • (1977) Ann. Probab. , vol.5 , pp. 28-41
    • Sweeting, T.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.