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构建同时置信区间的一般方法

A General Method for Constructing Simultaneous Confidence Intervals

Journal of the American Statistical Association · 1982
被引 14
ABS 4

中文导读

提出一种构建同时置信区间的一般方法,可对线性空间中可估函数的任意有限生成子集给予特殊关注,区间长度由线性规划确定,适用于回归分析,并与Scheffé方法比较。

Abstract

A general method is proposed for constructing simultaneous confidence intervals that gives special emphasis to any preselected finite spanning subset in a linear space of estimable functions. The method has a wide range of application, including regression analysis. The length of a confidence interval is determined as the solution to a linear programming problem. The studentized maximum modulus distribution can be used to choose critical values for conservative control of the overall confidence level. The method is compared to Scheffé's procedure.

统计学计量经济学回归分析置信区间