메뉴 건너뛰기




Volumn 25, Issue 1, 1998, Pages 243-253

Large deviations limit theorems for the kernel density estimator

(1)  Louani, Djamal a,b  

b NONE   (France)

Author keywords

Bahadur exact slope; Cram r's condition; Inaccuracy rate; Kernel density estimator; Large deviations; Relative efficiency

Indexed keywords


EID: 0032379117     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9469.00101     Document Type: Article
Times cited : (35)

References (22)
  • 1
    • 0000083313 scopus 로고
    • On the asymptotic efficiency of tests and estimates
    • Bahadur, R. R. (1960). On the asymptotic efficiency of tests and estimates. Sankhyá 22, 229-252.
    • (1960) Sankhyá , vol.22 , pp. 229-252
    • Bahadur, R.R.1
  • 2
    • 0000135116 scopus 로고
    • Rates of convergence of estimates and test statistics
    • Bahadur, R. R. (1967). Rates of convergence of estimates and test statistics. Ann. Math. Statist. 38, 303-324.
    • (1967) Ann. Math. Statist. , vol.38 , pp. 303-324
    • Bahadur, R.R.1
  • 5
    • 0000907598 scopus 로고
    • Convergence uniforme d'un estimateur de la densité par la méthode de noyau
    • Bertrand-Retali, M. (1978). Convergence uniforme d'un estimateur de la densité par la méthode de noyau. Rev. Roumaine Math. Pures Appl. 23, 361-385.
    • (1978) Rev. Roumaine Math. Pures Appl. , vol.23 , pp. 361-385
    • Bertrand-Retali, M.1
  • 6
    • 0000182415 scopus 로고
    • A measure of asymptotic efficiency for tests of hypothesis based on sums of observations
    • Chernoff, H. (1952). A measure of asymptotic efficiency for tests of hypothesis based on sums of observations. Ann. Math. Statist. 23, 493-507.
    • (1952) Ann. Math. Statist. , vol.23 , pp. 493-507
    • Chernoff, H.1
  • 9
    • 0000665083 scopus 로고
    • Nonparametric estimation of a multidimensional probability density
    • Epanechnikov, V. A. (1969). Nonparametric estimation of a multidimensional probability density. Theory Probab. Appl. 14, 153-158.
    • (1969) Theory Probab. Appl. , vol.14 , pp. 153-158
    • Epanechnikov, V.A.1
  • 10
    • 0010170551 scopus 로고
    • Large sample point estimation: A large deviations theory approach
    • Fu, J. C. (1982). Large sample point estimation: a large deviations theory approach. Ann. Statist. 10, 762-771.
    • (1982) Ann. Statist. , vol.10 , pp. 762-771
    • Fu, J.C.1
  • 11
    • 2742548349 scopus 로고
    • Bahadur efficiency and probabilities of large deviations
    • Groeneboom, P. & Oosterhoff, J. (1977). Bahadur efficiency and probabilities of large deviations. Statist. Neerlandica 31, 1-24.
    • (1977) Statist. Neerlandica , vol.31 , pp. 1-24
    • Groeneboom, P.1    Oosterhoff, J.2
  • 13
    • 0346714576 scopus 로고
    • On local inaccuracy rates and asymptotic variances
    • Jurečková, J. & Kallenberg, W. C. M. (1987). On local inaccuracy rates and asymptotic variances. Statist. Decisions 5, 139-158.
    • (1987) Statist. Decisions , vol.5 , pp. 139-158
    • Jurečková, J.1    Kallenberg, W.C.M.2
  • 14
    • 0041420167 scopus 로고
    • On local and nonlocal measures of efficiency
    • Kallenberg, W. C. M. & Ledwina, T. (1987). On local and nonlocal measures of efficiency. Ann. Statist. 15, 1401-1420.
    • (1987) Ann. Statist. , vol.15 , pp. 1401-1420
    • Kallenberg, W.C.M.1    Ledwina, T.2
  • 15
    • 0011039016 scopus 로고
    • Grandes déviations pour le processus empirique conditionnel
    • Louani, D. (1995). Grandes déviations pour le processus empirique conditionnel. C. R. Acad. Sci. Paris. Sér. I. Math., 321, 1513-1516.
    • (1995) C. R. Acad. Sci. Paris. Sér. I. Math. , vol.321 , pp. 1513-1516
    • Louani, D.1
  • 18
    • 0347975308 scopus 로고
    • On a theorem of G. L. Sievers
    • Plachky, D. (1971). On a theorem of G. L. Sievers. Ann. Math. Statist. 42, 1442-1443.
    • (1971) Ann. Math. Statist. , vol.42 , pp. 1442-1443
    • Plachky, D.1
  • 19
    • 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. Hungar. 6, 343-345.
    • (1975) Period. Math. Hungar. , vol.6 , pp. 343-345
    • Plachky, D.1    Steinebach, J.2
  • 20
    • 0001870079 scopus 로고
    • On the probability of large deviations of random variables
    • Sanov, I. N. (1957). On the probability of large deviations of random variables. Sci Trans. Math. Statist. Probab. 1, 213-244.
    • (1957) Sci Trans. Math. Statist. Probab. , vol.1 , pp. 213-244
    • Sanov, I.N.1
  • 22
    • 0011116638 scopus 로고
    • On the probability of large deviations and exact slopes
    • Sievers, G. L. (1969). On the probability of large deviations and exact slopes. Ann. Math. Statist. 40, 1908-1921.
    • (1969) Ann. Math. Statist. , vol.40 , pp. 1908-1921
    • Sievers, G.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.