Ononot — Consider the Fisher Information I(\theta) for a parameter \t

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Inferential Statisticshard

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Consider the Fisher Information $I(\theta)$ for a parameter $\theta$ . If $X_1, ..., X_n$ are i.i.d. observations, what is the relationship between the Fisher Information of the sample $I_n(\theta)$ and the Fisher Information of a single observation $I(\theta)$ ?