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Journal of the American Statistical Association Volume 90, 1995 - Issue 431
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Theory and Method

Simultaneous Confidence Bands for Linear Regression with Heteroscedastic Errors

Julian J. Faraway Department of Statistics, University of Michigan, Ann Arbor, MI, 48109
&
Jiayang Sun Department of Statistics, University of Michigan, Ann Arbor, MI, 48109
Pages 1094-1098 | Received 01 Sep 1993, Published online: 27 Feb 2012

References

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  • Miiller , H-G. 1988 . Nonparametric Regression Analysis of Longitudinal Data , New York : Springer-Verlag .
  • Naiman , D. Q. 1987 . “Simultaneous Confidence Bands in Multiple Regression Using Predictor Variable Constraints,” . Journal of the American Statistical Association , 82 : 214 – 219 .
  • Scheffé , H. 1959 . The Analysis of Variance , New York : John Wiley .
  • Seber , G. 1977 . Linear Regression Analysis , New York : John Wiley .
  • Sun , J. 1993 . “Tail Probabilities of the Maxima of Gaussian Random Fields,” . Annals of Probability , 21 : 34 – 71 .
  • Sun , J. and Loader , C. 1994 . “Simultaneous Confidence Bands for Linear Regression and Smoothing,” . The Annals of Statistics , 22 : 1328 – 1347 .
  • Uusipaikka , E. 1983 . “Exact Confidence Bands for Linear Regression Over Intervals,” . Journal of the American Statistical Association , 78 : 638 – 644 .
  • Wynn , H. P. 1984 . “An Exact Confidence Band for One-Dimensional Polynomial Regression,” . Biometrika , 71 : 375 – 380 .
  • Wynn , H. P. and Bloomfield , P. 1971 . “Simultaneous Confidence Bands in Regression Analysis,” . Journal of the Royal Statistical Society , 33 : 202 – 217 . Ser. B

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