STAT 4201 Midterm: STAT 421 OSU PastExam1 1 solutions
31 Jan 2019
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Show all of your work for partial credit. This is a closed book, closed notes, closed neighbor exam. You may use a calculator and one page of notes. All necessary statistical tables are provided: let x1, x2, xn be a random sample from a continuous uniform distribution on the interval [0, ]. (a) (10 pts) find the method of moments estimator of . Setting these equal, we hve x = estimator = 2 x. 2 and the rst sample moment is m. Since is unbiased, we can examine the variance to determine whether the vari- ance goes to 0 as n : var( ) = 4v ar( x) = 4( 1. Thus, we see that v ar x 0 as n , and so is a consistent estimator of (th. 10. 3): (15 pts) let x1, x2, xn be a random sample from a distribution given by f (x; ) =( 1. Suppose that it is known that = 2.
