Let $X_1,X_2,\ldots,X_n$ and $Y_1,Y_2,\ldots,Y_n$ be independent random samples from $N(\mu_1,1)$ and $ N(\mu_2,1)$ populations respectively with $\mu_2\neq0$.

I need to find an unbiased estimator for $\rho=\frac{\mu_1}{\mu_2}$.

I've been trying to combine both distributions in different ways but haven't gotten anything interesting. Any idea how I can start?

Let $X_1,X_2,\ldots,X_n$ and $Y_1,Y_2,\ldots,Y_n$ be independent random samples from $N(\mu_1,1)$ and $N(\mu_2,1)$ populations respectively with $\mu_2\neq0$.

I need to find an unbiased estimator for $\rho=\frac{\mu_1}{\mu_2}$.

I've been trying to combine both distributions in different ways but haven't gotten anything interesting. Any idea how I can start?

Let $X_1,X_2,\ldots,X_n$ and $Y_1,Y_2,\ldots,Y_n$ be independent random samples from $N(\mu_1,1)$ and $ N(\mu_2,1)$ populations respectively with $\mu_2\neq0$.

I need to find an unbiased estimator for $\rho=\frac{\mu_1}{\mu_2}$.

I've been trying to combine both distros in different ways but haven't gotten anything interesting. Any idea how I can start?

Let $X_1,X_2,\ldots,X_n$ and $Y_1,Y_2,\ldots,Y_n$ be independent random samples from $N(\mu_1,1)$ and $ N(\mu_2,1)$ populations respectively with $\mu_2\neq0$.

I need to find an unbiased estimator for $\rho=\frac{\mu_1}{\mu_2}$.

I've been trying to combine both distributions in different ways but haven't gotten anything interesting. Any idea how I can start?