方差-协方差传播律和函数与倍函数应用分析

Application Analysis on Accumulated Function and Multiplied Function in Variance-covariance Propagation Law

从随机变量的角度分析了在应用误差传播律计算时,有关和函数与倍函数的形式差异造成不同计算结果的原因,指出和函数与倍函数不能随意变换形式,是因为函数包含的变量是随机变量,而不是普通变量,变换和函数与倍函数的形式会人为地改变随机变量的意义,故在应用时必须根据随机变量含义确定函数的形式。

This paper analyzes the reasons on different calcula- tion results due to the folln of differences between plus func- tions and multiplied function, when the error propagation law is applied from the perspective of a random variable. It addresses that the form of plus functions and multiplied functions can not be swapped freely for the variables in these functions are randora, not common variables. The meaning of the random variables may be changed when the forms are swapped. Finally, the paper points that the form of function should not be changed according to the meaning of the random variables.