a. Let X1, . . . , Xn be a random sample from a uniform distribution on [0, ]. Then the mle of is . ˆ

u 5 Y 5 max(Xi u u )

X P(|Y 2 mY | $ P) # sY 2 /P X m `

P u ˆ

u

ˆ P(| S ` u ˆ

u 2 u| $ P) S 0 P ˆ

u