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Volumn 69, Issue 1, 1998, Pages 133-151

Asymptotic distribution for a discrete version of integrated square error of multivariate density kernel estimators

Author keywords

Asymptotic distribution; Average square error; Kernel estimators; U statistics; goodness of fit

Indexed keywords


EID: 0032091227     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(97)00154-7     Document Type: Article
Times cited : (2)

References (12)
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    • (1973) Ann. Statist. , vol.1 , pp. 1071-1095
    • Bickel, P.J.1    Rosenblatt, M.2
  • 2
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    • Testing the goodness of fit of a parametric density function by kernel method
    • Fan, Y., 1994. Testing the goodness of fit of a parametric density function by kernel method. Econometric Theory 10, 316-356.
    • (1994) Econometric Theory , vol.10 , pp. 316-356
    • Fan, Y.1
  • 4
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    • Limit theorems for stochastic measures of the accuracy of density estimators
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    • (1982) Stochastic Process. Appl. , vol.13 , pp. 11-25
    • Hall, P.1
  • 5
    • 0001872520 scopus 로고
    • Central limit theorem for integrated square error properties of multivariate nonparametric density estimators
    • Hall, P., 1984. Central limit theorem for integrated square error properties of multivariate nonparametric density estimators. J. Multivariate Anal. 14, 1-16.
    • (1984) J. Multivariate Anal. , vol.14 , pp. 1-16
    • Hall, P.1
  • 6
    • 0001744704 scopus 로고
    • A class of statistics with asymptotically normal distribution
    • Hoeffding, W., 1948. A class of statistics with asymptotically normal distribution. Ann. Math. Statist. 19, 293-325.
    • (1948) Ann. Math. Statist. , vol.19 , pp. 293-325
    • Hoeffding, W.1
  • 7
    • 0001473437 scopus 로고
    • On estimation of a probability density function and mode
    • Parzen, E., 1962. On estimation of a probability density function and mode. Ann. Math. Statist. 33, 1065-1076.
    • (1962) Ann. Math. Statist. , vol.33 , pp. 1065-1076
    • Parzen, E.1
  • 8
    • 0001529784 scopus 로고
    • Remarks on some non-parametric estimates of a density function
    • Rosenblatt, M., 1956. Remarks on some non-parametric estimates of a density function. Ann. Math. Statist. 27, 832-837.
    • (1956) Ann. Math. Statist. , vol.27 , pp. 832-837
    • Rosenblatt, M.1
  • 9
    • 0010191737 scopus 로고
    • Théorèmes limites pour les erreurs quadratiques intégrées des estimateurs à noyau de la densité et de la régression sous des conditions de dépendance
    • Tenreiro, C., 1995. Théorèmes limites pour les erreurs quadratiques intégrées des estimateurs à noyau de la densité et de la régression sous des conditions de dépendance. C. R. Acad. Sci. Paris, Séri. I, 320, 1535-1538.
    • (1995) C. R. Acad. Sci. Paris, Séri. I , vol.320 , pp. 1535-1538
    • Tenreiro, C.1
  • 11
    • 0000968947 scopus 로고
    • Nonparametric probability density estimation: A comparison of density estimation methods
    • Wegman, E.J., 1972. Nonparametric probability density estimation: A comparison of density estimation methods. J. Statist. Comput. Simulation 1, 225-245.
    • (1972) J. Statist. Comput. Simulation , vol.1 , pp. 225-245
    • Wegman, E.J.1
  • 12
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    • Limiting behavior of U-statistics for stationary, absolutely regular processes
    • Yoshihara, K., 1976. Limiting behavior of U-statistics for stationary, absolutely regular processes. Z. Wahrsch. Verw. Gebiete 35, 237-252.
    • (1976) Z. Wahrsch. Verw. Gebiete , vol.35 , pp. 237-252
    • Yoshihara, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.