Let X1, , Xn be a random sample from a gamma(a, () population a Find the MLE of , assuming is known b If and are both unknown, there is no explicit formula for the MLEs of and , but the maximum can be found numerically The result in part (a) can be used to reduce the problem to the maximization of a univariate function Find the MLEs for and for the data in Exercise 7 10(c)

Question: Let X1,..., Xn be a random sample from a gamma(a, () population. a. Find the MLE of , assuming is known. b. If

Let X1,..., Xn be a random sample from a gamma(a, (β) population.
a. Find the MLE of β, assuming α is known.
b. If α and β are both unknown, there is no explicit formula for the MLEs of α and β, but the maximum can be found numerically. The result in part (a) can be used to reduce the problem to the maximization of a univariate function. Find the MLEs for α and β for the data in Exercise 7.10(c).

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