y=a0+a1x1+a2x2 (1)如果异方差形式为 x1^4*sigma^2,那么直接变化如下
gen t_y=y/x1^2
gen t_x1=x1/x1^2
gen t_x2=x2/x1^4
reg t_y t_x1 t_x2 得出的结果就应该是(1)式的gls估计了,但是这个结果与 reg y x1 x2 [aw=1/x1^4]的结果完全不同,请连老师指教一下。谢谢!
sysuse auto,clear
gen wei2=weight^2
gen t_price=price/weight
gen t_weight=weight/weight
gen con=1/weight
reg price weight [aweight=1/wei2]
reg t_price t_weight con,nocons