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Journal of the American Statistical Association Volume 85, 1990 - Issue 412
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Theory and Methods

Bootstrap Choice of Bandwidth for Density Estimation

Julian J. Faraway Department of Statistics, University of Michigan, Ann Arbor, MI, 48109
&
Myoungshic Jhun Department of Statistics, Korea University, Seoul, 136-701, Korea
Pages 1119-1122 | Received 01 Feb 1988, Published online: 27 Feb 2012

References

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  • Devroye , L. and Györfi , L. 1985 . Nonparametric Density Estimation: The L1View , New York : John Wiley .
  • Dodge , Y. 1986 . Some Difficulties Involving Nonparametric Estimation of a Density Function . Journal of Official Statistics , 2 : 193 – 202 .
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  • Hall , P. 1990 . Using the Bootstrap to Estimate Mean Squared Error and Select Smoothing Parameter in Nonparametric Problems . Journal of Multivariate Analysis , 32 : 177 – 203 .
  • Padgett , W. and Thombs , L. 1986 . Smooth Nonparametric Quantile Estimation Under Censoring: Simulations and Bootstrap Methods . Communication in Statistics, Part B–Simulation and Computation , 15 : 1003 – 1025 .
  • Romano , J. 1988 . On Weak Convergence and Optimality of Kernel Density Estimates of the Mode . The Annals of Statistics , 16 : 629 – 647 .
  • Scott , D. and Terrell , G. 1987 . Biased and Unbiased Cross-validation in Density Estimation . Journal of the American Statistical Association , 82 : 1131 – 1146 .
  • Silverman , B. 1986 . Density Estimation for Statistics and Data Analysis , London : Chapman & Hall .
  • Silverman , B. and Young , G. 1987 . The Bootstrap: To Smooth or Not To Smooth? . Biometrika , 12 : 469 – 479 .
  • Stone , C. 1984 . An Asymptotically Optimal Window Selection Rule for Kernel Density Estimates . The Annals of Statistics , 12 : 1285 – 1297 .
  • Taylor , C. 1989 . Bootstrap Choice of Smoothing Parameter in Kernel Density Estimation . Biometrika , 76 : 705 – 712 .

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