顾及自变量误差的回归分析理论和方法

Theory and Method of Regression Analysis for Error of Independent Variable

工程勘察中常用的回归分析方法是不考虑自变量X误差的,但在不少实际问题中,x和y同是有误差的数据。该文给出顾及自变量误差的回归分析理论和一套计算方法,这是一般概率统计书籍中所未涉及的问题。

Error of independent variable X is usually not taken into account during regression analysis of engineering exploration.In many of practical problems, however,both x and y are with errors.Theory of regression analysis for error of independent variable and its arithmetics are presented in this paper. This question is not involved in general literature on probability and statistics.