I have a regression, say $Y=a+bX_1+cX_2+e$.
I know how to do the standard $F$-test for $b=c=0$. However, in my case, both coefficients $b$ and $c$ should be positive. So is there a way to test if $b>0$ AND $c>0$? This would be a one-tailed $F$-test with two restrictions.