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Volumn 105, Issue 2, 1996, Pages 159-192

Asymptotic bias and variance for a general class of varying bandwidth density estimators

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EID: 0039054673     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01203834     Document Type: Article
Times cited : (5)

References (20)
  • 1
    • 0001110699 scopus 로고
    • On bandwidth variation in kernel estimates - A square root law
    • Abramson, L.S.: On bandwidth variation in kernel estimates - a square root law. Ann. Stat. 10, 1217-1223 (1982)
    • (1982) Ann. Stat. , vol.10 , pp. 1217-1223
    • Abramson, L.S.1
  • 2
    • 84898431324 scopus 로고
    • Variable kernel estimates of probability densities
    • Breiman, L., Meisel, W., Purcell, E.: Variable kernel estimates of probability densities. Technometrics 19, 135-144 (1977)
    • (1977) Technometrics , vol.19 , pp. 135-144
    • Breiman, L.1    Meisel, W.2    Purcell, E.3
  • 3
    • 0003222145 scopus 로고
    • Von mises calculus for statistical functionals
    • New York: Springer
    • Fernholz, L.T.: Von Mises Calculus for Statistical Functionals (Lect. Notes Statist. 19) New York: Springer 1983
    • (1983) Lect. Notes Statist. , vol.19
    • Fernholz, L.T.1
  • 4
    • 0001294160 scopus 로고
    • On the bias of variable bandwidth curve estimators
    • Hall, P.: On the bias of variable bandwidth curve estimators. Biometrika 77, 529-535 (1990)
    • (1990) Biometrika , vol.77 , pp. 529-535
    • Hall, P.1
  • 5
    • 21844522785 scopus 로고
    • Improved variable window estimators of probability densities
    • Hall, P. Hu, T.-C., Marron, J.S.: Improved variable window estimators of probability densities. Ann. Statist. 23, 1-10 (1995)
    • (1995) Ann. Statist. , vol.23 , pp. 1-10
    • Hall, P.1    Hu, T.-C.2    Marron, J.S.3
  • 6
    • 0002849938 scopus 로고
    • Variable window width kernel estimates of probability densities
    • Hall, P., Marron, J.S.: Variable window width kernel estimates of probability densities. Probab. Theory Relat. Fields 80, 37-49 (1988)
    • (1988) Probab. Theory Relat. Fields , vol.80 , pp. 37-49
    • Hall, P.1    Marron, J.S.2
  • 8
    • 0040802842 scopus 로고
    • Taylor series approximations of kernel density estimators
    • Hössjer, O., Ruppert, D.: Taylor series approximations of kernel density estimators. J. Non-parametric Statistics 4, 165-177 (1994)
    • (1994) J. Non-parametric Statistics , vol.4 , pp. 165-177
    • Hössjer, O.1    Ruppert, D.2
  • 9
    • 21844487471 scopus 로고
    • Asymptotics for the transformation kernel density estimator
    • Technical Report 1993:10, University of Lund, Dept. of Mathematical Statistics
    • Hössjer, O., Ruppert, D.: Asymptotics for the transformation kernel density estimator. Technical Report 1993:10, University of Lund, Dept. of Mathematical Statistics. Ann. Stat. 23, 1198-1222 (1995)
    • (1995) Ann. Stat. , vol.23 , pp. 1198-1222
    • Hössjer, O.1    Ruppert, D.2
  • 10
    • 84985571889 scopus 로고    scopus 로고
    • Variable kernel density estimates and variable kernel density estimates
    • Correction, 33, 119
    • Jones, M.C.: Variable kernel density estimates and variable kernel density estimates. Austral. J. Statist. 32, 361-71. Correction, 33, 119 (1990)
    • Austral. J. Statist. , vol.32 , pp. 361-371
    • Jones, M.C.1
  • 11
    • 0000431859 scopus 로고
    • A simple and effective bias reduction method for density and regression estimation
    • Jones, M.C., Linton, O., Nielsen, J.P.: A simple and effective bias reduction method for density and regression estimation. Biometrika 82, 327-338 (1995)
    • (1995) Biometrika , vol.82 , pp. 327-338
    • Jones, M.C.1    Linton, O.2    Nielsen, J.P.3
  • 12
    • 0012715552 scopus 로고
    • Variable location and scale kernel density estimation
    • Jones, M.C., McKay, I.J., Hu, T.-C.: Variable location and scale kernel density estimation. Ann. Inst. Statist. Math. 46, 521-535 (1994)
    • (1994) Ann. Inst. Statist. Math. , vol.46 , pp. 521-535
    • Jones, M.C.1    McKay, I.J.2    Hu, T.-C.3
  • 13
    • 0039616731 scopus 로고    scopus 로고
    • A comparison of higher order bias kernel density estimators
    • Jones, M.C., Signorini, D.F.: A comparison of higher order bias kernel density estimators to appear in J. Amer. Statist. Assoc. (1996)
    • (1996) J. Amer. Statist. Assoc.
    • Jones, M.C.1    Signorini, D.F.2
  • 14
    • 0001681560 scopus 로고
    • A nonparametric estimate of a multivariate density function
    • Loftsgaarden, D.O., Quesenberry, C.P.: A nonparametric estimate of a multivariate density function. Ann. Math. Statist. 36, 1049-1051 (1965)
    • (1965) Ann. Math. Statist. , vol.36 , pp. 1049-1051
    • Loftsgaarden, D.O.1    Quesenberry, C.P.2
  • 17
    • 0001366850 scopus 로고
    • Exact mean integrated squared error
    • Marron, S., Wand, M.: Exact mean integrated squared error. Ann. Statist. 20, 712-736 (1992)
    • (1992) Ann. Statist. , vol.20 , pp. 712-736
    • Marron, S.1    Wand, M.2
  • 18
    • 21344491756 scopus 로고
    • Bias reduction in kernel density estimation by smoothed empirical transformations
    • Ruppert, D., Cline, D.: Bias reduction in kernel density estimation by smoothed empirical transformations. Ann. Statist. 22, 185-210 (1994)
    • (1994) Ann. Statist. , vol.22 , pp. 185-210
    • Ruppert, D.1    Cline, D.2
  • 19
    • 0000819370 scopus 로고
    • On nonparametric density estimates
    • Samiuddin, M., El-Sayyad, G.M.: On nonparametric density estimates. Biometrika 77, 865-874 (1990)
    • (1990) Biometrika , vol.77 , pp. 865-874
    • Samiuddin, M.1    El-Sayyad, G.M.2
  • 20
    • 21144472623 scopus 로고
    • Variable kernel density estimation
    • Terrell, G.R., Scott, D.W.: Variable kernel density estimation. Ann. Statist. 20, 1236-1263 (1992)
    • (1992) Ann. Statist. , vol.20 , pp. 1236-1263
    • Terrell, G.R.1    Scott, D.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.