Pareto Fisher Information

EasyStatistics

Suppose that $X_1 \mid \theta,\dots, X_n \mid \theta \sim \text{Pareto}(\theta)$ IID, which means they have PDF $f(x \mid \theta) = \frac{\theta}{x^{\theta + 1}}I_{(1,\infty)}(x)$ . If it exists, find the Fisher Information of $\theta$ , $I(\theta)$ . What is the value of the Fisher Information when $\theta = 7$ and $n = 7$ ?

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