Suppose that X1, , Xn form a random sample from a distribution for which the p d f is f(x ), the value of is unknown, and the prior p d f of is () Show that the posterior p d f ( x) is the same regardless of whether it is calculated directly by using Eq (7 2 7) or sequentially by using Eqs (7 2 14)...

By Eq 7214 x1 fx 1 and by Eq 7215 x 1 x 2 fx 2 x 1 Hence x ...

Suppose that X1, . . . , Xn form a random sample from a distribution for which

Question:

Suppose that X1, . . . , Xn form a random sample from a for which the p.d.f. is f(x|θ), the value of θ is unknown, and the prior p.d.f. of θ is ξ(θ). Show that the posterior p.d.f. ξ(θ|x) is the same regardless of whether it is calculated directly by using Eq. (7.2.7) or sequentially by using Eqs. (7.2.14), (7.2.15), and (7.2.16).
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...