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For questions about the central limit theorem, which states: "Given certain conditions, the mean of a sufficiently large number of iterates of independent random variables, each with a well-defined mean and well-defined variance, will be approximately normally distributed." (Wikipedia)
3
votes
0
answers
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What likelihood to use to model sample means from a Pareto-like distribution?
Suppose there is a random variable with Lomax (Pareto Type II) probability density
$$
P(x; c) = \frac{c}{(1 + x )^{c + 1}}, \quad x \ge 0, c > 0.
$$
Let's draw n_samples=30000 samples of length sample …