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Volumn 25, Issue 6, 1997, Pages 2626-2637

Nonasymptotic universal smoothing factors, kernel complexity and Yatracos classes

Author keywords

Asymptotic optimality; Convergence; Density estimation; Kernel estimate; Minimum distance estimate; Smoothing factor

Indexed keywords


EID: 0031319763     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1030741088     Document Type: Article
Times cited : (58)

References (12)
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    • An approximation to the density function
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    • Akaike, H.1
  • 2
    • 0002457759 scopus 로고
    • Bounds for the uniform deviation of empirical measures
    • DEVROYE, L. (1982). Bounds for the uniform deviation of empirical measures. J. Multivariate Anal. 12 72-79.
    • (1982) J. Multivariate Anal. , vol.12 , pp. 72-79
    • Devroye, L.1
  • 4
    • 0012038864 scopus 로고
    • Asymptotic performance bounds for the kernel estimate
    • DEVROYE, L. (1988). Asymptotic performance bounds for the kernel estimate. Ann. Statist. 16 1162-1179.
    • (1988) Ann. Statist. , vol.16 , pp. 1162-1179
    • Devroye, L.1
  • 5
    • 0001791608 scopus 로고    scopus 로고
    • Universal smoothing factor selection in density estimation: Theory and practice
    • To appear
    • DEVROYE, L. (1997). Universal smoothing factor selection in density estimation: theory and practice. Test. To appear.
    • (1997) Test
    • Devroye, L.1
  • 8
    • 0030335054 scopus 로고    scopus 로고
    • A universally acceptable smoothing factor for kernel density estimation
    • DEVROYE, L. and LUGOSI, G. (1996). A universally acceptable smoothing factor for kernel density estimation. Ann. Statist. 24 2499-2512.
    • (1996) Ann. Statist. , vol.24 , pp. 2499-2512
    • Devroye, L.1    Lugosi, G.2
  • 9
    • 0001473437 scopus 로고
    • On the estimation of a probability density function and the mode
    • PARZEN, E. (1962). On the estimation of a probability density function and the mode. Ann. Math. Statist. 33 1065-1076.
    • (1962) Ann. Math. Statist. , vol.33 , pp. 1065-1076
    • Parzen, E.1
  • 10
    • 0001529784 scopus 로고
    • Remarks on some nonparametric estimates of a density function
    • ROSENBLATT, M. (1956). Remarks on some nonparametric estimates of a density function. Ann. Math. Statist. 27 832-837.
    • (1956) Ann. Math. Statist. , vol.27 , pp. 832-837
    • Rosenblatt, M.1
  • 11
    • 0001024505 scopus 로고
    • On the uniform convergence of relative frequencies of events to their probabilities
    • VAPNIK, V. N. and CHERVONENKIS, A. YA. (1971). On the uniform convergence of relative frequencies of events to their probabilities. Theory Probab. Appl. 16 264-280.
    • (1971) Theory Probab. Appl. , vol.16 , pp. 264-280
    • Vapnik, V.N.1    Chervonenkis, A.Ya.2
  • 12
    • 0000643161 scopus 로고
    • Rates of convergence of minimum distance estimators and Kolmogorov's entropy
    • YATRACOS, Y. G. (1985). Rates of convergence of minimum distance estimators and Kolmogorov's entropy. Ann. Statist. 13 768-774.
    • (1985) Ann. Statist. , vol.13 , pp. 768-774
    • Yatracos, Y.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.