STAT 5102 Midterm: STAT 5102 UMN s09 Test 1
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The exam is closed book and closed notes. 11 sheet of paper with formulas, etc. You may also use the handouts on brand name distributions and greek letters. Put all of your work on this test form (use the back if necessary). Show your work or give an explanation of your answer. No credit for numbers with no indication of where they came from. The points for the questions total to 100. There are 5 pages and 5 prob- lems: [20 pts. ] < x < is a probability density function (pdf), where the parameter can be any real number. Given that information, nd the asymptotic relative e ciency (are) of the sample mean and sample median of an independent and identically distributed (iid) sample from this distribution, both considered as estimators of . 4. 5 (a) find the mean of the empirical distribution. (b) find the median of the empirical distribution. (c) find pn(x 3) under the empirical distribution.
