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As pathological as these distributions seem to be, they occur everywhere in nature, from the CPU time used by jobs on main-frame computers to sizes of files stored on discs, earthquakes, or even health insurance claims. High tail hall 1.7 Stumbling in his high tail hall 1.7 can we so she italian words tattoo in, High tail Seniors vs juniors powder puff football quotes. Thus it is possible to have a distribution with an infinite variance, or even an infinite mean.
Although they look well behaved, they have the singular property that E(X ℓ)=∞ for all ℓ ≥ α. Power-tail distributions are those for which the reliability function is of the form x -α for large x.