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→Definition of heavy-tailed distribution
\int_{-\infty}^\infty e^{t x} \,dF(x) = \infty \quad \mbox{for all } t>0.
\int_{-\infty}^\infty e^{t x} \,dF(x) = \infty \quad \mbox{for all } t>0.
</math> <ref>S. Foss, D. Korshunov, S. Zachary, ''An Introduction to Heavy-Tailed and Subexponential Distributions'', Springer Science & Business Media, 21 May 2013</ref>
</math>