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The Dan family D(a) has pdf f(x, ) = c exp(-{x- }4) where c is a constant not dependent on , for any real
The Dan family D(a) has pdf f(x, ) = c exp(-{x- }4) where c is a constant not dependent on , for any real x and real a. a. Prove that the Dan family is a very regular location family. b. Calculate the derivative, with respect to , of I(a), and justify your work. c. Show that MLE(a) is CAN for a; it is not necessary to actually calculate this MLE here! d. Compute the ANV for the CAN behavior of the sample median Mn. e. Is Mn is unbiased for a here? Why or why not?
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