Answer by Aaron Hendrickson for Finding the Expected value of a Pareto...
For a continuous random variable $X$, we have by definition $\mathsf EX=\int_{-\infty}^\infty x f_X(x)\,\mathrm dx$. It follows for $X\sim\operatorname{Pareto}(\alpha,\beta)$ that$$\mathsf...
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Given a Pareto distribution as $$f\left( x,\theta \right) =\frac{\alpha \beta ^{\alpha}}{x^{\alpha +1}},\ x>\beta $$Question: Why the expectation of $x$ of Pareto distribution is written...
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