Suppose X 1 , In is a random sample from Uniform (0 0 ) , with density fune tion f ( 2 ) = 6 0 lt; lt; A , where . gt; is an unknown parameter .

Suppose X1, · · · , Xn is a random sample from Uniform(0, θ), with density function f(x) = 1/θ (see the attached picture for complete question)

Suppose X 1 ,In is a random sample from Uniform (0 0 ) , with density funetion f ( 2 ) = 6 0 < < A , where . > is an unknown parameter . Then( a ) Derive the maximum likelihood estimator . of A( b ) Find ( 0 ) and Var ( 0 )( C ) Comment on whether A is unbiased . and whether it is consistent ?( 1 ) Derive the limiting distribution of n ( 0 - 0 )