Effect of change prior rho?

[ms-gx]

For my first question, let me show you some plots of rho:

First rho:

Second rho:

Third rho:

Fourth rho:

What is your take on those distributions?

My second question: Would you change the priors for distributions three and four? If yes, why and what difference would it likely make?

[ms-gx]

Close this one. Based on a personal discussion with you I think it would not help the change the prior rho.