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QUESTION

Should I consider this function as a exponential family with 2 parameter? If then how can I get the mean and the variance?

Should I consider this function as a exponential family with 2 parameter?

If then how can I get the mean and the variance?

Also I wonder how to find mle without using derivative in question number (2)

How can I get pdf of estimator?

And what's the relative efficiency of statistics?

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