One-Sided Simultaneous Bounds in Linear Regression
本文从检验理论出发，通过投影检验统计量区域，构建线性回归模型中的单侧联合容忍界和置信界，并给出获得紧致容忍界的充要条件及示例。
This article discusses the one-sided simultaneous tolerance and confidence bounds in the linear regression model. We approach the problem from the area of test theory. The bounds are constructed by projecting a region of the test statistics, and we then propose a necessary and sufficient condition for obtaining a taut tolerance bound by the method. Finally, for illustrative purposes, we give several examples of one-sided simultaneous bounds with various shapes.