Suppose that X1, , Xn form a random sample from the normal distribution with known mean and unknown precision ( 0) Suppose also that the prior distribution of is the gamma distribution with parameters 0 and 0 (0 0 and 0 0) Show that the posterior distribution of given that Xi xi (i 1, , n) is the g...

The joint pdf fnx of X 1 X n is given shortly after Definition 861 in the text and th ...

Suppose that X1, . . . , Xn form a random sample from the normal distribution with

Question:

Suppose that X1, . . . , Xn form a random sample from the normal with known mean Î¼ and unknown precision Ï„ (Ï„ >0). Suppose also that the prior of Ï„ is the gamma with parameters Î±0 and Î²0 (Î±0 > 0 and Î²0 > 0). Show that the posterior of Ï„ given that Xi = xi (i = 1, . . . , n) is the gamma with parameters Î±0 + (n/2) and

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...