SOLUTION: in exponential distribution variance=(beta)^2 if we are asked find method of moment estimate of variance? 2 methods i tried 1 is giving wrong answer and other correct variance=(

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Question 740786: in exponential distribution variance=(beta)^2
if we are asked find method of moment estimate of variance?
2 methods i tried 1 is giving wrong answer and other correct
variance=(beta)^2
thus estimator of variance=(beta hat)^2.this gives wrong answer
but estimator of variance =M2-(M1)^2 gives correct answer
i want to ask what is wrong in first method?

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