MHB Prior probability distributions

[lotharson]

Hi folks.

I've a question.

Let k be a parameter which must be estimated. It lies within the interval (a;b), a and b being finite real numbers.

Let us further assume we dispose of a series of measurements X of known standard deviations.
X is a complex function of k.

What are Jeffreys prior Bernardo's prior?

Many thanks for your answer :-)

 

[lotharson]

Do we dispose of some type of guarantee that these priors imitate the shape of the likelihood in such a way that the posterior distribution delivers us a result close enough to the Maximum Likelihood Estimate?