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Journal of the American Statistical Association Volume 83, 1988 - Issue 401
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Theory and Method

The Reduction of the Width of Confidence Bands in Linear Regression

Satoru Kanoh Faculty of Economics, Yokohama National University, Tokiwadai, Yokohama, 240, Japan
Pages 116-122 | Received 01 May 1986, Published online: 12 Mar 2012

References

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  • Bowden , D. C. and Graybill , F. A. 1966 . “Confidence Bands of Uniform and Proportional Width for Linear Models,” . Journal of the American Statistical Association , 61 : 182 – 198 .
  • Casella , G. and Strawderman , W. E. 1980 . “Confidence Bands for Linear Regression With Restricted Predictor Variables,” . Journal of the American Statistical Associationk , 75 : 862 – 868 .
  • Gafarian , A. V. 1964 . “Confidence Bands in Straight Line Regression,” . Journal of the American Statistical Association , 59 : 182 – 213 .
  • Halperin , M. and Gurian , L. 1968 . “Confidence Bands in Linear Regression With Constraints on the Independent Variables,” . Journal of the American Statistical Association , 63 : 1020 – 1027 .
  • Kanoh , S. and Kusunoki , A. 1984 . “One-Sided Simultaneous Bounds in Linear Regression,” . Journal of the American Statistical Association , 79 : 715 – 719 .
  • Naiman , D. O. 1983 . “Comparing Scheffé-Type to Constant-Width Confidence Bounds in Regression,” . Journal of the American Statistical Association , 78 : 906 – 912 .
  • Naiman , D. O. 1984 . “Average Width Optimality of Simultaneous Confidence Bounds,” . The Annals of Statistics , 12 : 1199 – 1214 .
  • Piegorsch , W. W. 1985 . “Average-Width Optimality for Confidence Bands in Simple Linear Regression,” . Journal of the American Statistical Association , 80 : 692 – 697 .
  • Sidák , Z. 1967 . “Rectangular Confidence Regions for the Means of Multivariate Normal Distributions,” . Journal of the American Statistical Association , 62 : 626 – 633 .
  • Wijsman , R. A. 1980 . “Smallest Simultaneous Confidence Sets With Applications in Multivariate Analysis,” . In Multivariate Analysis V , Edited by: Krishnaiah , P. R. 483 – 498 . Amsterdam : North-Holland .
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