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Suppose the random variable X has pdf f(x;?, ?)=??x?−1e−?x? for x≥0;?, ? > 0. a) Find...

Suppose the random variable X has pdf f(x;?, ?)=??x?−1e−?x? for x≥0;?, ? > 0.

a) Find the maximum likelihood estimator for ?, assuming that ? is known.

b) Suppose ? and ? are both unknown. Write down the equations that would be solved simultaneously to find the maximum likelihood estimators of ? and ?.

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