# Suggested noninformative hyperprior distributions?

I have a hierarchical model that includes a normal distribution and a beta distribution.

For the normal distribution, it has two parameters: $$\mu$$ and $$\tau^2$$. However, I want to implement hierarchy such that the $$\mu$$ and $$\tau^2$$ parameters are sampled from group-level distributions. What are good distributions to use for each of these two parameters? I am assuming the $$\mu$$ parameter could be sampled from another normal distribution, and the $$\tau^2$$ parameter could be sampled from an inverse gamma distribution. Is this along the right lines?

For the beta distribution, it has two parameters: $$\alpha$$ and $$\beta$$. I want to also implement this hierarchically in the same manner, so I have the same question. What is a good distribution to use which would then sample values for $$\alpha$$ and $$\beta$$?

I am sorry if these are simple questions but I have been having a very difficult time finding answers online.