+/1 points DevoreStat9 6.E.035. My Notes Ask Your Teacher Let X1, . . . , Xn be

Question

+/1 points DevoreStat9 6.E.035. My Notes Ask Your Teacher Let X1, . . . , Xn be a random sample from a pdf that is symmetric about . An estimator for that has been found to perform well for a variety of underlying distributions is the Hodges-Lehmann estimator. To define it, first compute for each i s j and eachjs 1, 2, . . . , n the pairwise average x,,-(x, + x)/2. Then the estimator is the median of the xiJ's. Compute the value of this estimate using the data below. [Hint: Construct a square table with the xi's listed on the left margin and on top Then compute averages on and above the diagonal.] 34.4 28.5 30.0 31.1 49.8 28.729.9 32.1 24.0 26.8 Need Heln?

Explanation / Answer

Mu hat = (sum of observations)/ number of observations

=315.3/10 =31.5

Hence Mu hat =31.5

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