메뉴 건너뛰기




Volumn 29, Issue 5, 2001, Pages 1424-1442

Nearest neighbor classification with dependent training sequences

Author keywords

Asymptotic risk; Dependent training samples; Nearest neighbor classification

Indexed keywords


EID: 0035566471     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1013203460     Document Type: Article
Times cited : (5)

References (26)
  • 1
    • 0032396004 scopus 로고    scopus 로고
    • On density estimation from ergodic processes
    • ADAMS, T. M. and NOBEL, A. B. (1998). On density estimation from ergodic processes. Ann. Probab. 26 794-804.
    • (1998) Ann. Probab. , vol.26 , pp. 794-804
    • Adams, T.M.1    Nobel, A.B.2
  • 2
    • 0032329029 scopus 로고    scopus 로고
    • Asymptotic normality of the maximum-likelihood estimator for general hidden Markov models
    • BICKEL, P. J., RITOV, Y. and RYDEN, T. (1998). Asymptotic normality of the maximum-likelihood estimator for general hidden Markov models. Ann. Statist. 26 1614-1635.
    • (1998) Ann. Statist. , vol.26 , pp. 1614-1635
    • Bickel, P.J.1    Ritov, Y.2    Ryden, T.3
  • 4
    • 84926662675 scopus 로고
    • Nearest neighbor pattern classification
    • COVER, T. M. and HART, P. E. (1967). Nearest neighbor pattern classification. IEEE Trans. Inform. Theory 13 21-27.
    • (1967) IEEE Trans. Inform. Theory , vol.13 , pp. 21-27
    • Cover, T.M.1    Hart, P.E.2
  • 6
    • 0007329655 scopus 로고
    • On the inequality of Cover and Hart in nearest neighbor discrimination
    • Devroye, L. (1981a). On the inequality of Cover and Hart in nearest neighbor discrimination. IEEE Trans. Pattern Anal. Mach. Intelligence 3 75-78.
    • (1981) IEEE Trans. Pattern Anal. Mach. Intelligence , vol.3 , pp. 75-78
    • Devroye, L.1
  • 7
    • 0000922213 scopus 로고
    • On the asymptotic probability of error in nonparametric discrimination
    • DEVROYE, L. (1981b). On the asymptotic probability of error in nonparametric discrimination. Ann. Statist. 9 1320-1327.
    • (1981) Ann. Statist. , vol.9 , pp. 1320-1327
    • Devroye, L.1
  • 8
    • 21844511932 scopus 로고
    • On the strong universal consistency of nearest neighbor regression function estimates
    • DEVROYE, L., GYÖRFI, L., KRZYZAK, A. and LUGOSI, G. (1994). On the strong universal consistency of nearest neighbor regression function estimates. Ann. Statist. 22 1371-1385.
    • (1994) Ann. Statist. , vol.22 , pp. 1371-1385
    • Devroye, L.1    Györfi, L.2    Krzyzak, A.3    Lugosi, G.4
  • 13
    • 38249010056 scopus 로고
    • Kernel density estimation from ergodic samples is not universally consistent
    • GYÖRFI, L. and LUGOSI, G. (1992). Kernel density estimation from ergodic samples is not universally consistent. Comp. Statist. Data Anal. 24 437-442.
    • (1992) Comp. Statist. Data Anal. , vol.24 , pp. 437-442
    • Györfi, L.1    Lugosi, G.2
  • 15
    • 0030667578 scopus 로고    scopus 로고
    • On consistency in nonparametric estimation under mixing assumptions
    • IRLE, A. (1997). On consistency in nonparametric estimation under mixing assumptions. J. Multivariate Anal. 60 123-147.
    • (1997) J. Multivariate Anal. , vol.60 , pp. 123-147
    • Irle, A.1
  • 17
    • 0029341263 scopus 로고
    • Rates of convergence of nearest neighbor estimation under arbitrary sampling
    • KULKARNI, S. R. and POSNER, S. E. (1995). Rates of convergence of nearest neighbor estimation under arbitrary sampling. IEEE Trans. Inform. Theory 41 1028-1039.
    • (1995) IEEE Trans. Inform. Theory , vol.41 , pp. 1028-1039
    • Kulkarni, S.R.1    Posner, S.E.2
  • 20
    • 0030551977 scopus 로고    scopus 로고
    • Nonparametric inference for ergodic stationary time series
    • MORVAI, G., YAKOWITZ, S. and GYÖRFI, L. (1996). Nonparametric inference for ergodic stationary time series. Ann. Statist. 24 370-379.
    • (1996) Ann. Statist. , vol.24 , pp. 370-379
    • Morvai, G.1    Yakowitz, S.2    Györfi, L.3
  • 21
    • 0032029008 scopus 로고    scopus 로고
    • Density estimation from an individual numerical sequence
    • NOBEL, A. B., MORVAI, G. and KULKARNI, S. R. (1998). Density estimation from an individual numerical sequence. IEEE Trans. Inform. Theory 44 537-541.
    • (1998) IEEE Trans. Inform. Theory , vol.44 , pp. 537-541
    • Nobel, A.B.1    Morvai, G.2    Kulkarni, S.R.3
  • 22
    • 84944486544 scopus 로고
    • Prediction and entropy of handwritten English
    • SHANNON, C. E. (1951). Prediction and entropy of handwritten English. Bell Systems Tech. J. 30 50-64.
    • (1951) Bell Systems Tech. J. , vol.30 , pp. 50-64
    • Shannon, C.E.1
  • 24
    • 0032350923 scopus 로고    scopus 로고
    • Asymptotic expansion of the k nearest neighbor risk
    • SNAPP, R. S. and VENKATESH, S. S. (1998). Asymptotic expansion of the k nearest neighbor risk. Ann. Statist. 26 850-878.
    • (1998) Ann. Statist. , vol.26 , pp. 850-878
    • Snapp, R.S.1    Venkatesh, S.S.2
  • 25
    • 0000388992 scopus 로고
    • Consistent nonparametric regression
    • STONE, C. (1977). Consistent nonparametric regression. Ann. Statist. 5 595-645.
    • (1977) Ann. Statist. , vol.5 , pp. 595-645
    • Stone, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.