메뉴 건너뛰기




Volumn 30, Issue 8-9, 2001, Pages 1869-1888

Bias reduction and elimination with kernel estimators

Author keywords

Bandwidth selection; Cross validation; Nonparametric estimation; Variable bandwidth

Indexed keywords


EID: 31244433688     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1081/STA-100105702     Document Type: Article
Times cited : (5)

References (28)
  • 8
    • 84985580794 scopus 로고
    • On the Reduction of Bias in Density Estimates
    • Hall, P. On the Reduction of Bias in Density Estimates, Australian Journal of Statistics 1983, 25, 278-286.
    • (1983) Australian Journal of Statistics , vol.25 , pp. 278-286
    • Hall, P.1
  • 9
    • 0001110699 scopus 로고
    • On Bandwidth Variation in Kernel Estimates-A Square Root Law
    • Abramson, I. On Bandwidth Variation in Kernel Estimates-A Square Root Law. The Annals of Statistics 1982, 10, 1217-1223.
    • (1982) The Annals of Statistics , vol.10 , pp. 1217-1223
    • Abramson, I.1
  • 10
    • 0000819370 scopus 로고
    • El-Sayyad, G.M. on Nonparametric Kernel Density Estimates
    • Samiuddin, M.; el-Sayyad, G.M. On Nonparametric Kernel Density Estimates. Biometrika 1990, 77, 865-874.
    • (1990) Biometrika , vol.77 , pp. 865-874
    • Samiuddin, M.1
  • 11
    • 21344491756 scopus 로고
    • Bias Reduction in Kernel Density Estimation by Smoothed Empirical Transformations
    • Ruppert, D.; Cline, D.B.H. Bias Reduction in Kernel Density Estimation by Smoothed Empirical Transformations. The Annals of Statistics 1994, 22, 185-210.
    • (1994) The Annals of Statistics , vol.22 , pp. 185-210
    • Ruppert, D.1    Cline, D.B.H.2
  • 13
    • 0001366850 scopus 로고
    • Exact Mean Integrated Squared Error
    • Marron, J.S.; Wand, M.P. Exact Mean Integrated Squared Error. Annals of Statistics 1992, 20, 712-736.
    • (1992) Annals of Statistics , vol.20 , pp. 712-736
    • Marron, J.S.1    Wand, M.P.2
  • 14
    • 33747533866 scopus 로고    scopus 로고
    • Zero-Bias Locally Adaptive Density Estimators, Technical Report, Department of Statistical Science
    • Sain, S.R.; Scott, D.W. Zero-Bias Locally Adaptive Density Estimators, Technical Report, Department of Statistical Science. Southern Methodist University, 2000.
    • (2000) Southern Methodist University
    • Sain, S.R.1    Scott, D.W.2
  • 15
    • 0032114358 scopus 로고    scopus 로고
    • Bias Annihilating Bandwidths for Kernel Density Estimation at a Point
    • Hazelton, M.L. Bias Annihilating Bandwidths for Kernel Density Estimation at a Point. Statistics and Probability Letters 1998, 38, 305-309.
    • (1998) Statistics and Probability Letters , vol.38 , pp. 305-309
    • Hazelton, M.L.1
  • 16
    • 0038582522 scopus 로고    scopus 로고
    • Variable Kernel Estimates: On the Impossibility of Tuning the Parameters
    • Giné, E.; Mason, D. Eds., New York: Springer-Verlag
    • Devroye, L.; Lugosi, T. Variable Kernel Estimates: On the Impossibility of Tuning the Parameters, In High Dimensional Probability. Giné, E.; Mason, D. Eds., New York: Springer-Verlag, 2000.
    • (2000) High Dimensional Probability.
    • Devroye, L.1    Lugosi, T.2
  • 18
    • 21144472623 scopus 로고
    • Variable Kernel Density Estimation
    • Terrell, G.R.; Scott, D.W. Variable Kernel Density Estimation. Annals of Statistics 1992, 20, 1236-1265.
    • (1992) Annals of Statistics , vol.20 , pp. 1236-1265
    • Terrell, G.R.1    Scott, D.W.2
  • 19
    • 0007727796 scopus 로고    scopus 로고
    • Technical Report, Department of Statistical Science. Southern Methodist University
    • Sain, S.R. Multivariate Locally Adaptive Density Estimation. Technical Report, Department of Statistical Science. Southern Methodist University 1999.
    • (1999) Multivariate Locally Adaptive Density Estimation.
    • Sain, S.R.1
  • 21
    • 84990541223 scopus 로고
    • Kernel Density Estimation when the Bandwidth is Large
    • Jones, M.C. Kernel Density Estimation when the Bandwidth is Large. Australian Journal of Statistics 1993, 35, 319-326.
    • (1993) Australian Journal of Statistics , vol.35 , pp. 319-326
    • Jones, M.C.1
  • 25
    • 0002369909 scopus 로고
    • Empirical Choice of Histogram and Kernel Density Estimators
    • Rudemo, M. Empirical Choice of Histogram and Kernel Density Estimators, Scandinavian Journal of Statistics 1982, 9, 65-78.
    • (1982) Scandinavian Journal of Statistics , vol.9 , pp. 65-78
    • Rudemo, M.1
  • 26
    • 0001245944 scopus 로고
    • An Alternative Method of Cross-Validation for the Smoothing of Density Estimates
    • Bowman, A.W. An Alternative Method of Cross-Validation for the Smoothing of Density Estimates. Biometrika 1984, 71, 353-360.
    • (1984) Biometrika , vol.71 , pp. 353-360
    • Bowman, A.W.1
  • 28
    • 0004195611 scopus 로고
    • Unpublished Ph.D. Dissertation, Department of Statistics, Rice University
    • Sain, S.R. Adaptive Kernel Density Estimation, Unpublished Ph.D. Dissertation, Department of Statistics, Rice University, 1994.
    • (1994) Adaptive Kernel Density Estimation
    • Sain, S.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.