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Volumn 90, Issue 2, 2000, Pages 177-182

Large deviations for the L1 -distance in kernel density estimation

Author keywords

60F10; 62G07; 62G10; Bahadur exact slope; Inaccuracy rate; Relative efficiency

Indexed keywords


EID: 0042496227     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(00)00124-5     Document Type: Article
Times cited : (16)

References (16)
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    • Devroye, L.1
  • 9
    • 0038094997 scopus 로고
    • p -norms of multivariate density estimators
    • p -norms of multivariate density estimators Ann. Statist. 19:1991;1933-1949.
    • (1991) Ann. Statist. , vol.19 , pp. 1933-1949
    • Horváth, L.1
  • 10
    • 0030514782 scopus 로고    scopus 로고
    • A minimaxity criterion in nonparametric regression based on large deviations probabilities
    • Korostelev A. A minimaxity criterion in nonparametric regression based on large deviations probabilities. Ann. Statist. 24:1996;1075-1083.
    • (1996) Ann. Statist. , vol.24 , pp. 1075-1083
    • Korostelev, A.1
  • 11
    • 0032379117 scopus 로고    scopus 로고
    • Large deviations limit theorems for the kernel density estimator
    • Louani D. Large deviations limit theorems for the kernel density estimator. Scand. J. Statist. 25:1998;243-253.
    • (1998) Scand. J. Statist. , vol.25 , pp. 243-253
    • Louani, D.1
  • 12
    • 0348238221 scopus 로고    scopus 로고
    • Some large deviations limit theorems in conditional nonparametric statistics
    • Louani D. Some large deviations limit theorems in conditional nonparametric statistics. Statistics. 33:1999;171-196.
    • (1999) Statistics , vol.33 , pp. 171-196
    • Louani, D.1
  • 13
    • 0043043364 scopus 로고    scopus 로고
    • Large deviations theorems for orthogonal series density estimators and some applications
    • to appear
    • Louani, D., 2000. Large deviations theorems for orthogonal series density estimators and some applications, Math. Methods Statist., to appear.
    • (2000) Math. Methods Statist.
    • Louani, D.1
  • 15
    • 0009129844 scopus 로고
    • A Theorem about probabilities of large deviations with application to queuing theory
    • Plachky, D., Steinebach, J., 1975. A Theorem about probabilities of large deviations with application to queuing theory. Period. Math. Hungaria, Vol. 6, pp. 343-345.
    • (1975) Period. Math. Hungaria , vol.6 , pp. 343-345
    • Plachky, D.1    Steinebach, J.2
  • 16
    • 0000547544 scopus 로고
    • A useful convergence theorem for probability distributions
    • Scheffé H. A useful convergence theorem for probability distributions. Ann. Math. Statist. 18:1947;434-458.
    • (1947) Ann. Math. Statist. , vol.18 , pp. 434-458
    • Scheffé, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.