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Let Y1, Y2,…, Yn denote independent and identically distributed random variables from a power family distribution with parameters α and θ = 3. Then, as in Exercise 9.43, if α > 0,
Show that E(Y1) = 3α/(α + 1) and derive the method-of-moments estimator for α.
9.43 Let Y1, Y2,…, Yn denote independent and identically distributed random variables from a power family distribution with parameters α and θ. Then, by the result in Exercise 6.17, if α, θ > 0,
If θ is known, show that
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Mathematical Statistics with Applications
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