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Volumn 24, Issue 4, 1996, Pages 1619-1647

Locally parametric nonparametric density estimation

Author keywords

Bias reduction; Density estimation; Kernel smoothing; Local likelihood; Local modelling; Parameter smoothing; Semiparametric estimation

Indexed keywords


EID: 0030367069     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1032298288     Document Type: Article
Times cited : (238)

References (44)
  • 1
    • 0000564939 scopus 로고
    • Maximum likelihood fitting of Hermite and simple polynomial densities
    • BUCKLAND, S. T. (1992). Maximum likelihood fitting of Hermite and simple polynomial densities. J. Roy. Statist. Soc. Ser. C 41 241-266.
    • (1992) J. Roy. Statist. Soc. Ser. C , vol.41 , pp. 241-266
    • Buckland, S.T.1
  • 2
    • 84936916896 scopus 로고
    • Robust locally weighted regression and smoothing scatterplots
    • CLEVELAND, W. S. (1979). Robust locally weighted regression and smoothing scatterplots. J. Amer. Statist. Assoc. 74 829-836.
    • (1979) J. Amer. Statist. Assoc. , vol.74 , pp. 829-836
    • Cleveland, W.S.1
  • 3
    • 0000645743 scopus 로고
    • Local likelihood based on kernel censoring
    • COPAS, J. B. (1995). Local likelihood based on kernel censoring. J. Roy. Statist. Soc. Ser. B 57 221-235.
    • (1995) J. Roy. Statist. Soc. Ser. B , vol.57 , pp. 221-235
    • Copas, J.B.1
  • 4
    • 0030335219 scopus 로고    scopus 로고
    • Using specially designed exponential families for density estimation
    • To appear
    • EFRON, B. and TIBSHIRANI, R. (1996). Using specially designed exponential families for density estimation. J. Amer. Statist. Assoc. To appear.
    • (1996) J. Amer. Statist. Assoc.
    • Efron, B.1    Tibshirani, R.2
  • 5
    • 84950423285 scopus 로고
    • Design-adaptive nonparametric regression
    • FAN, J. (1992). Design-adaptive nonparametric regression. J. Amer. Statist. Assoc. 87 998-1004.
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 998-1004
    • Fan, J.1
  • 6
    • 3042869574 scopus 로고
    • Local linear regression smoothers and their minimax efficiencies
    • FAN, J. (1993). Local linear regression smoothers and their minimax efficiencies. Ann. Statist. 21 196-216.
    • (1993) Ann. Statist. , vol.21 , pp. 196-216
    • Fan, J.1
  • 7
    • 21144469140 scopus 로고
    • Variable bandwidth and local linear regression smoothers
    • FAN, J. and GIJBELS, I. (1992). Variable bandwidth and local linear regression smoothers. Ann. Statist. 20 2008-2036.
    • (1992) Ann. Statist. , vol.20 , pp. 2008-2036
    • Fan, J.1    Gijbels, I.2
  • 9
    • 84950447968 scopus 로고
    • Local polynomial kernel regression for generalized linear models and quasi-likelihood functions
    • FAN, J., HECKMAN, N. E. and WAND, M. P. (1995). Local polynomial kernel regression for generalized linear models and quasi-likelihood functions. J. Amer. Statist. Assoc. 90 141-150.
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 141-150
    • Fan, J.1    Heckman, N.E.2    Wand, M.P.3
  • 11
    • 84972525897 scopus 로고
    • Local regression: Automatic kernel carpentry
    • HASTIE, T. and LOADER, C. R. (1993). Local regression: Automatic kernel carpentry (with discussion). Statist. Sci. 8 120-143.
    • (1993) Statist. Sci. , vol.8 , pp. 120-143
    • Hastie, T.1    Loader, C.R.2
  • 14
    • 0002930635 scopus 로고
    • Semiparametric estimation of parametric hazard rates
    • P. S. Goel and J. P. Klein, eds. Kluwer, Dordrecht
    • HJORT, N. L. (1991). Semiparametric estimation of parametric hazard rates. In Survival Analysis: State of the Art (P. S. Goel and J. P. Klein, eds.) 211-236. Kluwer, Dordrecht.
    • (1991) Survival Analysis: State of the Art , pp. 211-236
    • Hjort, N.L.1
  • 16
    • 0001277507 scopus 로고
    • Bayesian approaches to semiparametric density estimation
    • J. Bernardo, J. Berger, P. Dawid and A. F. M. Smith, eds. Oxford Univ. Press
    • HJORT, N. L. (1995). Bayesian approaches to semiparametric density estimation (with discussion). In Bayesian Statistics V (J. Bernardo, J. Berger, P. Dawid and A. F. M. Smith, eds.) 223-253. Oxford Univ. Press.
    • (1995) Bayesian Statistics V , pp. 223-253
    • Hjort, N.L.1
  • 17
    • 0346830247 scopus 로고    scopus 로고
    • Performance of Efron and Tibshirani's semiparametric density estimator
    • Dept. Mathematics, Univ. Oslo
    • HJORT, N. L. (1996a). Performance of Efron and Tibshirani's semiparametric density estimator. Statistical research report, Dept. Mathematics, Univ. Oslo.
    • (1996) Statistical Research Report
    • Hjort, N.L.1
  • 18
    • 0040275944 scopus 로고    scopus 로고
    • Multiplicative higher order bias kernel density estimators
    • Dept. Mathematics, Univ. Oslo
    • HJORT, N. L. (1996b). Multiplicative higher order bias kernel density estimators. Statistical research report, Dept. Mathematics, Univ. Oslo.
    • (1996) Statistical Research Report
    • Hjort, N.L.1
  • 19
    • 0040275968 scopus 로고    scopus 로고
    • Dynamic likelihood hazard rate estimation
    • To appear
    • HJORT, N. L. (1997). Dynamic likelihood hazard rate estimation. Biometrika 84. To appear.
    • (1997) Biometrika , vol.84
    • Hjort, N.L.1
  • 20
    • 0001077759 scopus 로고
    • Nonparametric density estimation with a parametric start
    • HJORT, N. L. and GLAD, I. K. (1995). Nonparametric density estimation with a parametric start. Ann. Statist. 23 882-904.
    • (1995) Ann. Statist. , vol.23 , pp. 882-904
    • Hjort, N.L.1    Glad, I.K.2
  • 22
    • 84990541223 scopus 로고
    • Kernel density estimation when the bandwidth is large
    • JONES, M. C. (1993a). Kernel density estimation when the bandwidth is large. Austral. J. Statist. 35 319-326.
    • (1993) Austral. J. Statist. , vol.35 , pp. 319-326
    • Jones, M.C.1
  • 23
    • 0000362452 scopus 로고
    • Simple boundary correction for kernel density estimation
    • JONES, M. C. (1993b). Simple boundary correction for kernel density estimation. Statistics and Computing 3 135-146.
    • (1993) Statistics and Computing , vol.3 , pp. 135-146
    • Jones, M.C.1
  • 24
    • 84972969036 scopus 로고
    • On kernel density derivative estimation
    • JONES, M. C. (1994). On kernel density derivative estimation. Comm. Statist. Theory Methods 23 2133-2139.
    • (1994) Comm. Statist. Theory Methods , vol.23 , pp. 2133-2139
    • Jones, M.C.1
  • 27
    • 0039684171 scopus 로고
    • Generalized jackknifing and higher order kernels
    • JONES, M. C. and FOSTER, P. J. (1993). Generalized jackknifing and higher order kernels. J. Nonparametr. Statist. 3 81-94.
    • (1993) J. Nonparametr. Statist. , vol.3 , pp. 81-94
    • Jones, M.C.1    Foster, P.J.2
  • 28
    • 0040870192 scopus 로고
    • Local fitting of regression models by likelihood: What's important?
    • Dept. Mathematics, Univ. Oslo
    • JONES, M. C. and HJORT, N. L. (1994). Local fitting of regression models by likelihood: what's important? Statistical research report, Dept. Mathematics, Univ. Oslo.
    • (1994) Statistical Research Report
    • Jones, M.C.1    Hjort, N.L.2
  • 29
    • 0000431859 scopus 로고
    • A simple and effective bias reduction method for density and regression estimation
    • JONES, M. C., LINTON, O. and NIELSEN, J. P. (1995). A simple and effective bias reduction method for density and regression estimation. Biometrika 82 327-338.
    • (1995) Biometrika , vol.82 , pp. 327-338
    • Jones, M.C.1    Linton, O.2    Nielsen, J.P.3
  • 30
    • 0001050272 scopus 로고    scopus 로고
    • A brief survey of bandwidth selection for density estimation
    • JONES, M. C., MARRON, J. S. and SHEATHER, S. J. (1996). A brief survey of bandwidth selection for density estimation. J. Amer. Statist. Assoc. 91 401-407.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 401-407
    • Jones, M.C.1    Marron, J.S.2    Sheather, S.J.3
  • 31
    • 0010886894 scopus 로고
    • Comparison of probability distributions
    • LINDSEY, J. K. (1974). Comparison of probability distributions. J. Roy. Statist. Soc. Ser. B 36 38-47.
    • (1974) J. Roy. Statist. Soc. Ser. B , vol.36 , pp. 38-47
    • Lindsey, J.K.1
  • 32
    • 0030372807 scopus 로고    scopus 로고
    • Local likelihood density estimation
    • LOADER, C. R. (1996). Local likelihood density estimation. Ann. Statist. 24 1602-1618.
    • (1996) Ann. Statist. , vol.24 , pp. 1602-1618
    • Loader, C.R.1
  • 33
    • 0001366850 scopus 로고
    • Exact mean integrated squared error
    • MARRON, J. S. and WAND, M. P. (1992). Exact mean integrated squared error. Ann. Statist. 20 712-736.
    • (1992) Ann. Statist. , vol.20 , pp. 712-736
    • Marron, J.S.1    Wand, M.P.2
  • 34
    • 0002248008 scopus 로고
    • A semiparametric approach to density estimation
    • OLKIN, I. and SPIEGELMAN, C. H. (1987). A semiparametric approach to density estimation. J. Amer. Statist. Assoc. 82 858-865.
    • (1987) J. Amer. Statist. Assoc. , vol.82 , pp. 858-865
    • Olkin, I.1    Spiegelman, C.H.2
  • 35
    • 21844518517 scopus 로고
    • Multivariate locally weighted least squares regression
    • RUPPERT, D. and WAND, M. P. (1994). Multivariate locally weighted least squares regression. Ann. Statist. 22 1346-1370.
    • (1994) Ann. Statist. , vol.22 , pp. 1346-1370
    • Ruppert, D.1    Wand, M.P.2
  • 36
    • 0022133601 scopus 로고
    • Parametric/nonparametric mixture density estimation with application to flood-frequency analysis
    • SCHUSTER, E. and YAKOWITZ, S. (1985). Parametric/nonparametric mixture density estimation with application to flood-frequency analysis. Water Resources Bulletin 21 797-804.
    • (1985) Water Resources Bulletin , vol.21 , pp. 797-804
    • Schuster, E.1    Yakowitz, S.2
  • 38
    • 0039684161 scopus 로고
    • Second-order differentiability and jackknife
    • SHAO, J. (1991). Second-order differentiability and jackknife. Statist. Sinica 1 185-202.
    • (1991) Statist. Sinica , vol.1 , pp. 185-202
    • Shao, J.1
  • 39
    • 0001268552 scopus 로고
    • A reliable data-based bandwidth selection method for kernel density estimation
    • SHEATHER, S. J. and JONES, M. C. (1991). A reliable data-based bandwidth selection method for kernel density estimation. J. Roy. Statist. Assoc. B 53 683-690.
    • (1991) J. Roy. Statist. Assoc. B , vol.53 , pp. 683-690
    • Sheather, S.J.1    Jones, M.C.2
  • 40
    • 84929759489 scopus 로고
    • The kernel estimate of a regression function in likelihood-based models
    • STANISWALIS, J. (1989). The kernel estimate of a regression function in likelihood-based models. J. Amer. Statist. Assoc. 84 276-283.
    • (1989) J. Amer. Statist. Assoc. , vol.84 , pp. 276-283
    • Staniswalis, J.1
  • 41
    • 0000388992 scopus 로고
    • Consistent nonparametric regression
    • STONE, C. J. (1977). Consistent nonparametric regression. Ann. Statist. 5 595-620.
    • (1977) Ann. Statist. , vol.5 , pp. 595-620
    • Stone, C.J.1
  • 43
    • 21144474248 scopus 로고
    • Comparison of smoothing parameterizations in bivariate kernel density estimation
    • WAND, M. P. and JONES, M. C. (1993). Comparison of smoothing parameterizations in bivariate kernel density estimation. J. Amer. Statist. Assoc. 88 520-528.
    • (1993) J. Amer. Statist. Assoc. , vol.88 , pp. 520-528
    • Wand, M.P.1    Jones, M.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.