Standard error of a ratio of two means
Asked at G-Research
You estimate a ratio from two independent samples: (size , variance ) estimates the numerator mean , and (size , variance ) estimates the denominator mean .
Use the delta method to find the approximate variance of .
Show a hint
For a function of two estimators, add the squared-partial-derivative contributions. Independence means no cross term.
Your answer
This one is open-ended. Work it through, then check your reasoning against the full solution.