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Confidence band for percentile line in multiple linear regression
Authors:Martina Chvosteková
Institution:Department of Theoretical Methods, Institute of Measurement Science, Slovak Academy of Sciences, Bratislava, Slovakia
Abstract:We deal with the problem of estimating constructing a confidence band for the 100γth percentile line in the multiple linear regression model with independent identically normally distributed errors. A method for computing the exact Scheffé type confidence band over a limited space of the particular covariates region is suggested. A confidence band depends on an estimator of the percentile line. The confidence bands based on the different estimators of the percentile line are compared with respect to the average bandwidth.
Keywords:Confidence interval  Multiplelinear regression model  Percentiles  Simultaneous inference
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