我的想法是:如果这两个系数可比的话。如果两个系数不那么相关的话
let d =beta1 -beta2, now test if d =0.
var(d) =var(beta1-beta2) =var(beta1) +var(beta2) -2*cov(beta1, beta2). 这三个值可以从估计的covariance 矩阵而来从而是可知的。然后
t =d/sqrt(var(d)), 得到t统计量,检测是否差异为零。
on the other hand, since beta1 and beta2 are not independent, can t value here be approximated by T distribution? if cov(beta1, beta2) is relevently small, sounds no problem here.
Another suggestions is to use bootstrapping. Unfortunately, i am still learning.
京剧