Can any one solve question d)? The answer of question c) is given as the picture showed. 2. Let
X1,X2,,Xn be a sample of size n from a distribution with a density f(x;)={22/x30ifx>0elsewhere
(a) Prove that the density of (X1,X2,,Xn) has a monotone likelihood ratio in the statistic
Z=X(1)=min(X1,X2,,Xn). (b) Find the cumulative distribution function and the density of the
statistic Z=X(1) (c) Find the uniformly most powerful -size test of H0:4 versus H1:>4. (d)
Sketch a graph of E as accurately as possible.
Then the power: E={(4)2n1if.
Can any one solve question d) The answer of question c) is given as.pdf
1. Can any one solve question d)? The answer of question c) is given as the picture showed. 2. Let
X1,X2,,Xn be a sample of size n from a distribution with a density f(x;)={22/x30ifx>0elsewhere
(a) Prove that the density of (X1,X2,,Xn) has a monotone likelihood ratio in the statistic
Z=X(1)=min(X1,X2,,Xn). (b) Find the cumulative distribution function and the density of the
statistic Z=X(1) (c) Find the uniformly most powerful -size test of H0:4 versus H1:>4. (d)
Sketch a graph of E as accurately as possible.
Then the power: E={(4)2n1if
