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Suppose that the elements of X = [X1, X2, . . .. X,, form a random sample from a Poisson ( )) distribution where the

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Suppose that the elements of X = [X1, X2, . . .. X,, form a random sample from a Poisson ( )) distribution where the Fisher Information about ) in the random sample is In ()) = . Let X(X) = X be an estimator of ). What influence does the sample size in the Fisher Information have on the variation of 1(X)? Select one: O a. A decrease in the sample size in the Fisher Information increases the variation of \\ (X) O b. A decrease in the sample size in the Fisher Information decreases the variation of (X) c. A decrease in the sample size in the Fisher Information has no influence on the variation of \\( X} d. An increase in the sample size in the Fisher Information increases the variation of (X)

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