Simultaneous Tolerance Intervals for the Linear Regression Model
线性回归模型的同时容忍区间
Statistical tolerance intervals are developed for the normal regression model. These intervals are constructed to guarantee at least P content for all possible values of the predictor variates. The confidence-set approach suggested by Wilson (1967) is used. Wilson used an ellipsoidal confidence set for the regression coefficients, β, and standard deviation of the residuals, σ, which imposes an unnecessary lower bound on σ. By modifying the ellipsoidal confidence set to…