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Original Articles

Estimating and clustering curves in the presence of heteroscedastic errors

Pages 553-571 | Received 01 Apr 2006, Published online: 18 Sep 2008

References

  • Serban , N. and Wasserman , L. 2005 . CATS: clustering after transformation and smoothing . J. Am. Stat. Assoc. , 100 : 90 – 99 .
  • Beran , R. and Dümbgen , L. 1998 . Modulation of estimators and confidence sets . Ann. Stat. , 26 ( 5 ) : 1826 – 1856 .
  • Yeung , K. Y. , Murua , A. , Raftery , A. and Ruzzo , W. L. 2001 . Model-based clustering and data transformations for gene expression data . Bioinformatics , 17 : 977 – 987 .
  • Friedman , J. and Meulman , J. J. 2004 . Clustering objects on subsets of attributes . J. R. Stat. Soc. B , 66 : 815 – 845 .
  • Fan , J. and Yao , Q. 1998 . Efficient estimation of conditional variance functions in stochastic regression . Biometrika , 85 ( 3 ) : 645 – 660 .
  • Fan , J. 1993 . Local linear regression smoothers and their minimax efficiency . Ann. Stat. , 21 : 196 – 216 .
  • Fan , J. and Gijbels , I. 1995 . Data-driven bandwidth selection in local polynomial fitting: variable bandwidth and spatial adaptation . J.R. Stat. Soc. B , 57 : 371 – 394 .
  • Ruppert , D. , Sheather , S. J. and Wand , M. P. 1995 . An effective bandwidth selector for local least squares regression . J. Am. Stat. Assoc. , 90 : 1257 – 1270 .
  • Müller , H. G. and Stadtmüller , U. 1993 . On variance function estimation with quadratic forms . J. Stat. Plan. Inferen. , 35 : 213 – 231 .
  • Müller , H. G. and Zhao , P. L. 1995 . On a semiparametric variance function model and a test for heteroscedasticity . Ann. Stat. , 23 : 946 – 967 .
  • Härdle , W. and Tsybakov , A. 1997 . Local polynomial estimators of the volatility function in nonparametric autoregression . J. Econometr. , 81 : 223 – 242 .
  • Efromovich , S. 1999 . “ Nonparametric Curve Estimation: Methods, Theory, and Applications ” . NY : Springer .
  • Hartigan , J. A. 1975 . “ Clustering Algorithms ” . John Wiley & Sons, Inc .
  • Hastie , T. , Tibshirani , R. and Friedman , J. H. 2003 . The Elements of Statistical Learning . Springer Series
  • Rand , W. M. 1971 . Objective criteria for the evaluation of clustering methods . J. Am. Stat. Assoc. , 66 : 846 – 850 .
  • Tibshirani , R. , Walther , G. and Hastie , T. 2000 . Estimating the number of clusters in a dataset via the Gap statistic . J. R. Stat. Soc. B , 63 : 411 – 423 .
  • Pisier , G. 1983 . “ Some applications of the metric entropy condition to harmonic analysis, in Banach Spaces, Harmonic Analysis and Probability Theory ” . In Lecture Notes in Mathematics , Vol. 995 , 123 – 154 . NY : Springer .
  • Durbin , J. and Watson , G. S. 1971 . Testing for serial correlation in least squares regression . Biometrika , 58 : 1 – 19 .

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