Question: Let X1, . . . , X100 iid Binomial(n = 20, ). (a) Show that the Fisher information contained in a single observation from Binomial(n
Let X1, . . . , X100 iid Binomial(n = 20, ). (a) Show that the Fisher information contained in a single observation from Binomial(n = 20, ) about is I1() = 20/( (1 )). (b) Based on your answer to (b), state the smallest possible variance among all unbiased estimators using the Cram er-Rao lower bound, assuming that we have 100 independent observations from Binomial(n = 20, ). 9
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