# How can I calculate $\mu_x/\mu_y$ using Jackknife?

I have difficulties in calculating confidence interval using Jackknife. Suppose that I have two independent samples and I do not know both their population distributions.

I understand how to calculate the confidence interval of $$\mu_x-\mu_y$$, but I have no idea of how to calculate the confidence interval of $$\mu_x/\mu_y$$.

I think applying delta method is invalid since I can not guarantee that the two samples are from normal distribution.

• This might help you. – Lucas Farias Feb 8 '19 at 16:27
• You should note that $\mu_x$-$\mu_y$ looks different from $\mu_x-\mu_y,$ and the latter is the proper way to do it. Just type a dollar sign and then don't type another until you get all the way through the mathematical notation that you're typing. – Michael Hardy Feb 9 '19 at 1:50