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Consider n independent observations from an exponential pdf f(y;)=e-Ay for y0, with parameter A>0 for which E(Y)=1/A. Find the sufficient statistic for estimating A.

 

Consider n independent observations from an exponential pdf f(y;)=e-Ay for y0, with parameter A>0 for which E(Y)=1/A. Find the sufficient statistic for estimating A. Find the maximum likelihood estimator of A and of E(Y)

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