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LAWS OF LARGE NUMBERS FOR TWO TAILED PARETO RANDOM VARIABLES
Almost sure convergence weak law of large numbers strong law of large numbers
2009/9/18
We sample m random variables from a two tailed Pareto
distribution. A two tailed Pareto distribution is a random variable whose
right tail is px−2 and whose left tail is qx−2, where p + ...
Expansions for Quantiles and Multivariate Moments of Extremes for Distributions of Pareto Type
Bell polynomials Extremes Inversion theorem Moments Pareto Quantiles
2010/3/19
Let Xnr be the rth largest of a random sample of size n from a distribution
F(x) = 1 −P∞i=0 cix− −i for > 0 and > 0. An inversion theorem is proved and used to
derive an expan...