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→Definition of heavy-tailed distribution
\overline{F^{*2}}(x) \sim 2\overline{F}(x) \quad \mbox{as } x \to \infty.
\overline{F^{*2}}(x) \sim 2\overline{F}(x) \quad \mbox{as } x \to \infty.
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\lim_{x \to \infty} e^{t x}\overline{F}(x) = \infty \quad \mbox{for all } t >0.\,
\lim_{x \to \infty} e^{t x}\overline{F}(x) = \infty \quad \mbox{for all } t >0.\,
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