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Original Articles

Some mixing properties of tukey's 3R smootherFootnote

Pages 249-264 | Accepted 19 Sep 1983, Published online: 22 Dec 2010

References

  • Bradley , R. C. 1980 . On the oslash;-mixing condition for stationary random sequences . Duke Math. J , 47 : 421 – 433 .
  • Ibragimov , I. A. and Linnik , Y. V. 1971 . Independent and Stationary Sequences of Random Variables , Groningen : Wolters-Noordhoff .
  • Kesten , H. and O'brien , G. L. 1976 . Examples of mixing sequences . Duke Math. J , 43 : 405 – 415 .
  • Mallows , C. L. 1979 . “ Some theoretical results on Tukey's 3R smoother. In ” . In Smoothing Techniques for Curve Estimation. Lecture Notes in Mathematics , Edited by: Gasser , T. and Rosenblatt , M. Vol. 757 , Berlin : Springer-Verlag .
  • Mallows , C.L. 1980 . Some theory of non-linear smoothers . Ann. Statist , 8 : 695 – 715 .
  • Tukey , J. W. 1977 . Exploratory Data Analysis , Reading, Mass : Addison-Wesley .

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