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Refer to Exercise 9.43. If θ is known, show that the power family of distributions is in the exponential family. What is a sufficient statistic for α? Does this contradict your answer to Exercise 9.43?
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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