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Theory and Method

Visual Error Criteria for Qualitative Smoothing

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Pages 499-507 | Received 01 Jul 1993, Published online: 27 Feb 2012

References

  • Baddeley , A. J. 1993 . “Errors in Binary Images and an Lp Version of the Hausdorff Metric,” unpublished manuscript
  • Bookstein , F. L. 1986 . “Size and Shape-Specific Landmark Data in Two Dimensions” . Statistical Science , 1 : 181 – 242 . (with discussion)
  • Chui , C. K. 1992 . An Introduction to Wavelets , New York : Academic Press .
  • Cuevas , A. and GonzalesMantiega , W. 1992 . “Data-Driven Smoothing Based on Convexity Properties,” . In Nonparametric Functional Estimation and Related Topics, NATO ASI Series C , Edited by: Roussas . Vol. 335 , 225 – 240 . Amsterdam : Kluwer .
  • Devroye , L. and Györfi , L. 1985 . Nonparametric Density Estimation: The L1View , New York : John Wiley .
  • Donoho , D. L. and Johnstone , I. M. 1992 . “Ideal Spatial Adaptation by Wavelet Shrinkage,” unpublished manuscript
  • Eubank , R. L. 1988 . Spline Smoothing and Nonparametric Regression , New York : Marcel Dekker .
  • Härdle , W. 1991 . Applied Nonparametric Regression , Boston : Cambridge University Press .
  • Hall , P. 1987 . “On Kullback-Leibler Loss and Density Estimation,” . The Annals of Statistics , 15 : 1491 – 1519 .
  • Jones , M. C. , Marron , J. S. and Sheather , S. J. 1992 . “Progress in Data-Based Bandwidth Selection for Kernel Density Estimation,” unpublished manuscript
  • Kendall , D. G. 1989 . “A Survey of the Statistical Theory of Shape” . Statistical Science , 4 : 87 – 120 . (with discussion)
  • Kooperberg , C. and Stone , C. J. 1991 . “A Study of Log Spline Density Estimation,” . Computational Statistics and Data Analysis , 12 : 327 – 347 .
  • Mammen , E. 1991 . “Nonparametric Regression Under Qualitative Smoothness Assumptions,” . The Annals of Statistics , 19 : 741 – 759 .
  • Marron , J. S. 1988 . “Automatic Smoothing Parameter Selection: A Survey,” . Empirical Economics , 13 : 187 – 208 .
  • Marron , J. S. 1992 . “Bootstrap Bandwidth Selection,” . In Exploring the Limits of Bootstrap , Edited by: LePage and Billard . New York : John Wiley .
  • Marron , J. S. and Wand , M. P. 1992 . “Exact Mean Integrated Squared Error,” . The Annals of Statistics , 20 : 712 – 736 .
  • Müller , H. G. 1988 . Nonparametric Analysis of Longitudinal Data , Berlin : Springer-Verlag .
  • Nielsen , G. M. and Foley , T. A. 1989 . “A Survey of Applications of an Affine-Invariant Norm,” . In Mathematical Methods in Computer-Aided Geometric Design , Edited by: Lyche , T. and Schumaker , L. Boston : Academic Press .
  • Ripley , B. D. 1986 . “Statistics, Images and Pattern Recognition,” . Canadian Journal of Statistics , 14 : 83 – 111 .
  • Sendov , B. 1990 . Hausdorff Approximations (Mathematics and Its Applications , Vol. 50 , Dordrecht : Kluwer .
  • Sheather , S. J. and Jones , M. C. 1991 . “A Reliable Data-Based Bandwidth Selection Method for Kernel Density Estimation,” . Journal of the Royal Statistical Society , 53 : 683 – 690 . Ser. B
  • Silverman , B. W. 1986 . Density Estimation for Statistics and Data Analysis , New York : Chapman and Hall .
  • Stone , C. J. 1980 . “Optimal Rates of Convergence for Nonparametric Estimators,” . The Annals of Statistics , 8 : 1348 – 1360 .
  • Wahba , G. 1991 . Spline Models for Observational Data , Philadelphia : SIAM .

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