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Volumn 99, Issue 468, 2004, Pages 1015-1026

Cross-validation and the estimation of conditional probability densities

Author keywords

Bandwidth choice; Binary data; Categorical data; Continuous data; Dimension reduction; Discrete data; Kernel methods; Mixed data: Nonparametric density estimation; Relevant and irrelevant data; Smoothing parameter choice

Indexed keywords


EID: 10144254861     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214504000000548     Document Type: Article
Times cited : (367)

References (30)
  • 1
    • 0017109036 scopus 로고
    • Mullivariate binary discrimination by the kernel method
    • Aitchison, J., and Aitken, C. G. G. (1976), Mullivariate Binary Discrimination by the Kernel Method, Biometrika, 63, 413-420.
    • (1976) Biometrika , vol.63 , pp. 413-420
    • Aitchison, J.1    Aitken, C.G.G.2
  • 2
    • 0001245944 scopus 로고
    • An alternative method of cross-validation for the smoothing of density estimates
    • Bowman, A. W. (1984), An Alternative Method of Cross-Validation for the Smoothing of Density Estimates, Biometrika, 71, 353-360.
    • (1984) Biometrika , vol.71 , pp. 353-360
    • Bowman, A.W.1
  • 3
    • 0010931337 scopus 로고
    • Smoothing sparse contingency tables
    • Burman, P. (1987), Smoothing Sparse Contingency Tables, Sankhyā, Ser. A, 49, 24-36.
    • (1987) Sankhyā, Ser. A , vol.49 , pp. 24-36
    • Burman, P.1
  • 4
    • 10844245934 scopus 로고    scopus 로고
    • A data-driven method for estimating conditional densities
    • Institute of Mathematical Sciences, Chinese University of Hong Kong
    • Fan, J., and Yim, T. H. (2004), A Data-Driven Method for Estimating Conditional Densities, Research Report 2003-05, Institute of Mathematical Sciences, Chinese University of Hong Kong.
    • (2004) Research Report 2003-05
    • Fan, J.1    Yim, T.H.2
  • 7
    • 0004325962 scopus 로고
    • A stepwise discriminant analysis program using density estimation
    • ed. G. Bruckmann, Vienna: Physica-Verlag
    • Habhema, J. D. F., Hermans, J., and Van den Broek, K. (1974), A Stepwise Discriminant Analysis Program Using Density Estimation, in Compstat 1974, ed. G. Bruckmann, Vienna: Physica-Verlag, pp. 101-110.
    • (1974) Compstat 1974 , pp. 101-110
    • Habhema, J.D.F.1    Hermans, J.2    Van Den Broek, K.3
  • 8
    • 0000858149 scopus 로고    scopus 로고
    • On the role of the propensity score in efficient semiparametric estimation of average treatment effects
    • Hahn, J. (1998), On the Role of the Propensity Score in Efficient Semiparametric Estimation of Average Treatment Effects, Econometrica, 66, 315-331.
    • (1998) Econometrica , vol.66 , pp. 315-331
    • Hahn, J.1
  • 9
    • 10844258478 scopus 로고
    • Orthogonal series methods for both qualitative and quantitative data
    • Hall, P. (1983a), Orthogonal Series Methods for Both Qualitative and Quantitative Data, The Annals of Statistics, 11, 1004-1007.
    • (1983) The Annals of Statistics , vol.11 , pp. 1004-1007
    • Hall, P.1
  • 10
    • 0000638595 scopus 로고
    • Large sample optimality of least squares cross-validation in density estimation
    • _ (1983b), Large Sample Optimality of Least Squares Cross-Validation in Density Estimation, The Annals of Statistics 11, 1156-1174.
    • (1983) The Annals of Statistics , vol.11 , pp. 1156-1174
  • 11
    • 0041713751 scopus 로고
    • Asymptotic theory of minimum integrated square error for multivariate density estimation
    • ed. P. R. Krishnaiah, Amsterdam: North-Holland
    • _ (1985), Asymptotic Theory of Minimum Integrated Square Error for Multivariate Density Estimation, in Multivariate Analysis VI, ed. P. R. Krishnaiah, Amsterdam: North-Holland, pp. 289-309.
    • (1985) Multivariate Analysis VI , pp. 289-309
  • 12
    • 0000155686 scopus 로고
    • Extent to which least-squares cross-validation minimises integrated square error in nonparametric density estimation
    • Hall, P., and Marron, J. S. (1987), Extent to Which Least-Squares Cross-Validation Minimises Integrated Square Error in Nonparametric Density Estimation, Probability Theory and Related Fields, 74, 567-581.
    • (1987) Probability Theory and Related Fields , vol.74 , pp. 567-581
    • Hall, P.1    Marron, J.S.2
  • 14
    • 0141495120 scopus 로고    scopus 로고
    • Efficient estimation of average treatment effects using the estimated propensity score
    • Hirano, K., Imbens, G., and Ridder, G. (2002), Efficient Estimation of Average Treatment Effects Using the Estimated Propensity Score, Econometrica, 71, 1161-1189.
    • (2002) Econometrica , vol.71 , pp. 1161-1189
    • Hirano, K.1    Imbens, G.2    Ridder, G.3
  • 15
    • 0242566061 scopus 로고    scopus 로고
    • Nonparametric estimation of a generalized additive model with an unknown link function
    • Horowitz, J. (2001), Nonparametric Estimation of a Generalized Additive Model With an Unknown Link Function, Econometrica, 69, 499-513.
    • (2001) Econometrica , vol.69 , pp. 499-513
    • Horowitz, J.1
  • 16
    • 0000263797 scopus 로고
    • Projection pursuit
    • Huber, P. J. (1985), Projection Pursuit (with discussion), The Annals of Statistics, 13, 435-525.
    • (1985) The Annals of Statistics , vol.13 , pp. 435-525
    • Huber, P.J.1
  • 19
    • 0001488581 scopus 로고
    • An efficient semiparametric estimator for binary response models
    • Klein, R., and Spady, R. (1993), An Efficient Semiparametric Estimator for Binary Response Models, Econometrica, 61, 387-422.
    • (1993) Econometrica , vol.61 , pp. 387-422
    • Klein, R.1    Spady, R.2
  • 20
    • 0036212450 scopus 로고    scopus 로고
    • Nonparametric censored and truncated regression
    • Lewbel, A., and Linton, O. (2002), Nonparametric Censored and Truncated Regression, Econometrica, 70, 765-779.
    • (2002) Econometrica , vol.70 , pp. 765-779
    • Lewbel, A.1    Linton, O.2
  • 21
    • 0001365475 scopus 로고
    • The sensitivity of an empirical model of married women's hours of work to economic and statistical assumptions
    • Mroz, T. A. (1987), The Sensitivity of an Empirical Model of Married Women's Hours of Work to Economic and Statistical Assumptions, Econometrica, 55, 765-799.
    • (1987) Econometrica , vol.55 , pp. 765-799
    • Mroz, T.A.1
  • 22
    • 0041656193 scopus 로고    scopus 로고
    • Nonparametric estimation of joint distribution with mixed continuous and categorical Data
    • Li, Q., and Racine, J. S. (2003), Nonparametric Estimation of Joint Distribution With Mixed Continuous and Categorical Data, Journal of Mullivariate Analysis, 86, 266-292.
    • (2003) Journal of Mullivariate Analysis , vol.86 , pp. 266-292
    • Li, Q.1    Racine, J.S.2
  • 23
    • 0001099098 scopus 로고
    • Semiparametric estimation of index coefficients
    • Powell, J. L., Stock, J. H., and Stoker, T. M. (1989), Semiparametric Estimation of Index Coefficients, Econometrica, 57, 1403-1430.
    • (1989) Econometrica , vol.57 , pp. 1403-1430
    • Powell, J.L.1    Stock, J.H.2    Stoker, T.M.3
  • 24
    • 10844282304 scopus 로고    scopus 로고
    • Vitesses de convergence dans le principe d'Invariance faible pour la fonction de répartition empirique multivariée
    • Rio, E. (1996), Vitesses de Convergence Dans le Principe d'Invariance Faible Pour la Fonction de Répartition Empirique Multivariée, Comptes Rendus de l'Academie des Sciences, Série I Math., 322, 169-172.
    • (1996) Comptes Rendus de l'Academie Des Sciences, Série I Math. , vol.322 , pp. 169-172
    • Rio, E.1
  • 25
    • 0002369909 scopus 로고
    • Empirical choice of histograms and kernel density estimators
    • Rudemo, M. (1982), Empirical Choice of Histograms and Kernel Density Estimators, Scandinavian Journal of Statistics, 9, 65-78.
    • (1982) Scandinavian Journal of Statistics , vol.9 , pp. 65-78
    • Rudemo, M.1
  • 26
    • 31244433688 scopus 로고    scopus 로고
    • Bias reduction and elimination with kernel estimators
    • Sain, S. R. (2001), Bias Reduction and Elimination With Kernel Estimators, Communications in Statistics Theory Methods, 30, 1869-1888.
    • (2001) Communications in Statistics Theory Methods , vol.30 , pp. 1869-1888
    • Sain, S.R.1
  • 28
    • 0001048793 scopus 로고
    • An asymptotically optimal window selection rule for kernel density estimates
    • Stone, C. J. (1984), An Asymptotically Optimal Window Selection Rule for Kernel Density Estimates, The Annals of Statistics, 12, 1285-1297.
    • (1984) The Annals of Statistics , vol.12 , pp. 1285-1297
    • Stone, C.J.1
  • 29
  • 30
    • 0041938200 scopus 로고
    • A class of smooth estimators for discrete distributions
    • Wang, M. C., and van Ryzin, J. A. (1981), A Class of Smooth Estimators for Discrete Distributions, Biometrika, 68, 301-309.
    • (1981) Biometrika , vol.68 , pp. 301-309
    • Wang, M.C.1    Van Ryzin, J.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.