Suppose that X1, , Xn are i i d having the normal distribution with mean and precision given (, ) Let (, ) have the usual improper prior Let '2 s2n (n 1) Prove that the posterior distribution of V (n 1) '2 is the 2 distribution with n 1 degrees of freedom ...

The posterior distribution of after using the usual improper prio ...

Suppose that X1, . . . , Xn are i.i.d. having the normal distribution with mean

Question:

Suppose that X1, . . . , Xn are i.i.d. having the normal with mean μ and precision τ given (μ, τ ). Let (μ, τ ) have the usual improper prior. Let σ'2 = s2n/(n − 1). Prove that the posterior of V = (n − 1)σ'2τ is the χ2 with n − 1 degrees of freedom.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...