Solved: [10 10 5] Let (x1,..., xn ) be a sample from a
Chapter 0, Problem SE5.10(choose chapter or problem)
[10 10 5] Let (x1,..., xn ) be a sample from a population with pdf (1/2) x if 2 x 0 f(x; ) {(1/2)(1 )x if 0 x 2 0 otherwise with , 0 1 as a parameter. a. Calculate the population mean as a function of the parameter. b. Find the estimator of by the method of moments and show that it is unbiased. c. For n 4 and x1 1.7, x2 1.3, x3 1.2, and x4 1.6, calculate the method of moments estimate of .
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