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Exercise 45 (#4.101). Let (X1,..., X,) be a random sample from the gamma distribution with shape parameter a > 0 and scale parametery >

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Exercise 45 (#4.101). Let (X1,..., X,) be a random sample from the gamma distribution with shape parameter a > 0 and scale parametery > 0. Show that almost surely the likelihood equation has a unique solution that is the MLE of 0 = (a,y). Obtain the Newton-Raphson iteration equation and the Fisher-scoring iteration equation.

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