We can place a 2-standard-deviation bound on the error of estimation with any estimator

Chapter 8, Problem 8.34

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We can place a 2-standard-deviation bound on the error of estimation with any estimator for which we can find a reasonable estimate of the standard error. Suppose that Y1, Y2,..., Yn represent a random sample from a Poisson distribution with mean . We know that V(Yi) = , and hence E(Y ) = and V(Y ) = /n. How would you employ Y1, Y2,..., Yn to estimate ? How would you estimate the standard error of your estimator?

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