Consider a random sample X1, X2, , Xn from a distribution with pdf f(x ) (1 x)1, 0 x 1, where 0 Find the form of the uniformly most powerful test of H0 1 against H1 1 ...

Let Thus Because 0 1 So when 1 ...

Consider a random sample X1, X2, . . . , Xn from a distribution with pdf f(x;

Question:

Consider a random sample X1, X2, . . . , Xn from a with pdf f(x; θ) = θ(1 − x)θ−1, 0 < x < 1, where 0 < θ. Find the form of the uniformly most powerful test of H0: θ = 1 against H1: θ > 1.
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...