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10. My Notes Ask Your et X1, , , , , x, be a random sample from a pdf that is sy

ID: 3312832 • Letter: 1

Question

10. My Notes Ask Your et X1, , , , , x, be a random sample from a pdf that is symmetric about An estimator for r 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 s j and each j- 1, 2,. . , n the pairwise average -+XV2. Then the estimator is the median of the x us compute the value of this estimate using the data below, Hint: Construct a square table with the x/s 1 ted on the left margin and on top. Then compute averages on and above the diagonal.] 33.9 29.5 30.6 28.0 28.2 31.6 29.4 49.3 26.3 23.5 -31.03 Need Help? Re Tak to s Tuter

Explanation / Answer

Answer: 31.7

since first find pairwise means and after than find median from the means

Median of Means = 31.7

Xi Xj Mean 33.9 33.9 33.9 33.9 29.5 31.7 33.9 30.6 32.25 33.9 28 30.95 33.9 28.2 31.05 33.9 31.6 32.75 33.9 29.4 31.65 33.9 49.3 41.6 33.9 26.3 30.1 33.9 23.5 28.7 29.5 29.5 29.5 29.5 30.6 30.05 29.5 28 28.75 29.5 28.2 28.85 29.5 31.6 30.55 29.5 29.4 29.45 29.5 49.3 39.4 29.5 26.3 27.9 29.5 23.5 26.5 30.6 30.6 30.6 30.6 28 29.3 30.6 28.2 29.4 30.6 31.6 31.1 30.6 29.4 30 30.6 49.3 39.95 30.6 26.3 28.45 30.6 23.5 27.05 28 28 28 28 28.2 28.1 28 31.6 29.8 28 29.4 28.7 28 49.3 38.65 28 26.3 27.15 28 23.5 25.75 28.2 28.2 28.2 28.2 31.6 29.9 28.2 29.4 28.8 28.2 49.3 38.75 28.2 26.3 27.25 28.2 23.5 25.85 31.6 31.6 31.6 31.6 29.4 30.5 31.6 49.3 40.45 31.6 26.3 28.95 31.6 23.5 27.55 29.4 29.4 29.4 29.4 49.3 39.35 29.4 26.3 27.85 29.4 23.5 26.45 49.3 49.3 49.3 49.3 26.3 37.8 49.3 23.5 36.4 26.3 26.3 26.3 26.3 23.5 24.9 23.5 23.5 23.5